Download or read book Cosmology Quantum Vacuum and Zeta Functions written by Sergey D. Odintsov and published by Springer Science & Business Media. This book was released on 2011-06-10 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some major developments of physics in the last three decades are addressed by highly qualified specialists in different specific fields. They include renormalization problems in QFT, vacuum energy fluctuations and the Casimir effect in different configurations, and a wealth of applications. A number of closely related issues are also considered. The cosmological applications of these theories play a crucial role and are at the very heart of the book; in particular, the possibility to explain in a unified way the whole history of the evolution of the Universe: from primordial inflation to the present day accelerated expansion. Further, a description of the mathematical background underlying many of the physical theories considered above is provided. This includes the uses of zeta functions in physics, as in the regularization problems in QFT already mentioned, specifically in curved space-time, and in Casimir problems as.

Download or read book Cosmology Quantum Vacuum and Zeta Functions written by Sergey D. Odintsov and published by Springer. This book was released on 2011-08-26 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some major developments of physics in the last three decades are addressed by highly qualified specialists in different specific fields. They include renormalization problems in QFT, vacuum energy fluctuations and the Casimir effect in different configurations, and a wealth of applications. A number of closely related issues are also considered. The cosmological applications of these theories play a crucial role and are at the very heart of the book; in particular, the possibility to explain in a unified way the whole history of the evolution of the Universe: from primordial inflation to the present day accelerated expansion. Further, a description of the mathematical background underlying many of the physical theories considered above is provided. This includes the uses of zeta functions in physics, as in the regularization problems in QFT already mentioned, specifically in curved space-time, and in Casimir problems as.

Download or read book Cosmology the Quantum Vacuum and Zeta Functions written by Эмилио Элизалде and published by . This book was released on 2009 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Quantum Cosmology written by Remo Ruffini and published by World Scientific. This book was released on 1987 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This detailed survey comprises reprints on subjects related to the development of quantum cosmology. As an introduction, an overview is included.

Download or read book Local Zeta Regularization And The Scalar Casimir Effect A General Approach Based On Integral Kernels written by Pizzocchero Livio and published by World Scientific. This book was released on 2017-10-06 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Zeta regularization is a method to treat the divergent quantities appearing in several areas of mathematical physics and, in particular, in quantum field theory; it is based on the fascinating idea that a finite value can be ascribed to a formally divergent expression via analytic continuation with respect to a complex regulating parameter. This book provides a thorough overview of zeta regularization for the vacuum expectation values of the most relevant observables of a quantized, neutral scalar field in Minkowski spacetime; the field can be confined to a spatial domain, with suitable boundary conditions, and an external potential is possibly present. Zeta regularization is performed in this framework for both local and global observables, like the stress-energy tensor and the total energy; the analysis of their vacuum expectation values accounts for the Casimir physics of the system. The analytic continuation process required in this setting by zeta regularization is deeply linked to some integral kernels; these are determined by the fundamental elliptic operator appearing in the evolution equation for the quantum field. The book provides a systematic illustration of these connections, devised as a toolbox for explicit computations in specific configurations; many examples are presented. A comprehensive account is given of the existing literature on this subject, including the previous work of the authors. The book will be useful to anyone interested in a mathematically sound description of quantum vacuum effects, from graduate students to scientists working in this area. Contents: General Theory: Zeta Regularization for a Scalar FieldThe Zeta Regularized Stress-Energy VEV in Terms of Integral KernelsTotal Energy and Forces on the BoundarySome Variations of the Previous SchemesApplications: A Massless Field on the SegmentA Massless Field Between Parallel HyperplanesA Massive Field Constrained by Perpendicular HyperplanesA Massless Field in a Three-Dimensional WedgeA Scalar Field with a Harmonic Background PotentialA Massless Field Inside a Rectangular BoxAppendices: The "Improved" Stress-Energy TensorOn the Regularity of Some Integral KernelsA Contour Integral Representation for Mellin TransformsSome Identities for the Dirichlet Kernel in a Slab ConfigurationDerivation of Some Results on Boundary ForcesAn Explicit Expression for the Renormalized Dirichlet Kernel of Half-Integer Order Readership: Graduate students and researchers including academics in theoretical physics. Keywords: Quantum Field Theory;Zeta Regularization;Casimir Effect;Stress-Energy TensorReview: Key Features: Zeta regularization is used in a systematic way for both local and global aspects related to the vacuum state of a quantized field, marking a difference with respect to the existing literature, in which local aspects (say, the stress-energy tensor) do not receive the full attention they would deserve (especially, in the presence of boundary conditions)Explicit computations are carried out for several configurations, applying in a uniform way the general algorithmsGive a more intuitive approach to the subject by implementing the regularization using canonical quantization in a Lorentzian framework

Download or read book Ten Physical Applications of Spectral Zeta Functions written by Emilio Elizalde and published by Springer. This book was released on 2012-05-31 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: Zeta-function regularization is a powerful method in perturbation theory, and this book is a comprehensive guide for the student of this subject. Everything is explained in detail, in particular the mathematical difficulties and tricky points, and several applications are given to show how the procedure works in practice, for example in the Casimir effect, gravity and string theory, high-temperature phase transition, topological symmetry breaking, and non-commutative spacetime. The formulae, some of which are new, can be directly applied in creating physically meaningful, accurate numerical calculations. The book acts both as a basic introduction and a collection of exercises for those who want to apply this regularization procedure in practice. Thoroughly revised, updated and expanded, this new edition includes novel, explicit formulas on the general quadratic, the Chowla-Selberg series case, an interplay with the Hadamard calculus, and also features a fresh chapter on recent cosmological applications, including the calculation of the vacuum energy fluctuations at large scale in braneworld and other models.

Download or read book 2012 written by and published by Walter de Gruyter. This book was released on 2013-03-01 with total page 3064 pages. Available in PDF, EPUB and Kindle. Book excerpt: Particularly in the humanities and social sciences, festschrifts are a popular forum for discussion. The IJBF provides quick and easy general access to these important resources for scholars and students. The festschrifts are located in state and regional libraries and their bibliographic details are recorded. Since 1983, more than 659,000 articles from more than 30,500 festschrifts, published between 1977 and 2011, have been catalogued.

Download or read book Quantum Gravity Quantum Cosmology and Lorentzian Geometries written by Giampiero Esposito and published by Springer Science & Business Media. This book was released on 2009-02-13 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is aimed at theoretical and mathematical physicists and mathematicians interested in modern gravitational physics. I have thus tried to use language familiar to readers working on classical and quantum gravity, paying attention both to difficult calculations and to existence theorems, and discussing in detail the current literature. The first aim of the book is to describe recent work on the problem of boundary conditions in one-loop quantum cosmology. The motivation of this research was to under stand whether supersymmetric theories are one-loop finite in the presence of boundaries, with application to the boundary-value problemsoccurring in quantum cosmology. Indeed, higher-loop calculations in the absence of boundaries are already available in the litera ture, showing that supergravity is not finite. I believe, however, that one-loop calculations in the presence of boundaries are more fundamental, in that they provide a more direct check of the inconsistency of supersymmetric quantum cosmology from the perturbative point of view. It therefore appears that higher-order calculations are not strictly needed, if the one-loop test already yields negative results. Even though the question is not yet settled, this research has led to many interesting, new applications of areas of theoretical and mathematical physics such as twistor theory in flat space, self-adjointness theory, the generalized Riemann zeta-function, and the theory of boundary counterterms in super gravity. I have also compared in detail my work with results by other authors, explaining, whenever possible, the origin of different results, the limits of my work and the unsolved problems.

Download or read book Quantum Cosmology The Supersymmetric Perspective Vol 2 written by Paulo Vargas Moniz and published by Springer. This book was released on 2010-04-02 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: We read in order to know we are not alone, I once heard, and perhaps it could also be suggested that we write in order not to be alone, to endorse, to promote continuity. The idea for this book took about 10 years to materialize, and it is the author’s hope that its content will constitute the beginning of further explorations beyond current horizons. More speci cally, this book appeals to the reader to engage upon and persevere with a journey, moving through the less well explored territories in the evolution of the very early universe, and pushing towards new landscapes. P- haps, during or after consulting this book, this attitude and this willingness will be embraced by someone, somewhere, and this person will go on to enrich our quantum cosmological description of the early universe, by means of a clearer supersymm- ric perspective. It is to these creative and inquisitive ‘young minds’ that the book is addressed. The reader will not therefore nd in this book all the answers to all the problems regarding a supersymmetric and quantum description of the early universe, and this remark is substantiated in the book by a list of unresolved and challenging problems, itself incomplete.

Download or read book Quantum Vacuum Structure and Cosmology written by and published by . This book was released on 2011 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contemporary physics faces three great riddles that lie at the intersection of quantum theory, particle physics and cosmology. They are: (1) The expansion of the universe is accelerating - an extra factor of two appears in the size; (2) Zero-point fluctuations do not gravitate - a matter of 120 orders of magnitude; and (3) The 'True' quantum vacuum state does not gravitate. The latter two are explicitly problems related to the interpretation and the physical role and relation of the quantum vacuum with and in general relativity. Their resolution may require a major advance in our formulation and understanding of a common unified approach to quantum physics and gravity. To achieve this goal we must develop an experimental basis and much of the discussion we present is devoted to this task. In the following, we examine the observations and the theory contributing to the current framework comprising these riddles. We consider an interpretation of the first riddle within the context of the universe's quantum vacuum state, and propose an experimental concept to probe the vacuum state of the universe.

Download or read book Euclidean Quantum Gravity on Manifolds with Boundary written by Giampiero Esposito and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book reflects our own struggle to understand the semiclassical behaviour of quantized fields in the presence of boundaries. Along many years, motivated by the problems of quantum cosmology and quantum field theory, we have studied in detail the one-loop properties of massless spin-l/2 fields, Euclidean Maxwell the ory, gravitino potentials and Euclidean quantum gravity. Hence our book begins with a review of the physical and mathematical motivations for studying physical theories in the presence of boundaries, with emphasis on electrostatics, vacuum v Maxwell theory and quantum cosmology. We then study the Feynman propagator in Minkowski space-time and in curved space-time. In the latter case, the corre sponding Schwinger-DeWitt asymptotic expansion is given. The following chapters are devoted to the standard theory of the effective action and the geometric im provement due to Vilkovisky, the manifestly covariant quantization of gauge fields, zeta-function regularization in mathematics and in quantum field theory, and the problem of boundary conditions in one-loop quantum theory. For this purpose, we study in detail Dirichlet, Neumann and Robin boundary conditions for scalar fields, local and non-local boundary conditions for massless spin-l/2 fields, mixed boundary conditions for gauge fields and gravitation. This is the content of Part I. Part II presents our investigations of Euclidean Maxwell theory, simple super gravity and Euclidean quantum gravity.

Download or read book Cosmological and Black Hole Apparent Horizons written by Valerio Faraoni and published by Springer. This book was released on 2015-07-01 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book overviews the extensive literature on apparent cosmological and black hole horizons. In theoretical gravity, dynamical situations such as gravitational collapse, black hole evaporation, and black holes interacting with non-trivial environments, as well as the attempts to model gravitational waves occurring in highly dynamical astrophysical processes, require that the concept of event horizon be generalized. Inequivalent notions of horizon abound in the technical literature and are discussed in this manuscript. The book begins with a quick review of basic material in the first one and a half chapters, establishing a unified notation. Chapter 2 reminds the reader of the basic tools used in the analysis of horizons and reviews the various definitions of horizons appearing in the literature. Cosmological horizons are the playground in which one should take baby steps in understanding horizon physics. Chapter 3 analyzes cosmological horizons, their proposed thermodynamics, and several coordinate systems. The remaining chapters discuss analytical solutions of the field equations of General Relativity, scalar-tensor, and f(R) gravity which exhibit time-varying apparent horizons and horizons which appear and/or disappear in pairs. An extensive bibliography enriches the volume. The intended audience is master and PhD level students and researchers in theoretical physics with knowledge of standard gravity.

Download or read book Primordial Cosmology written by Giovanni Montani and published by World Scientific. This book was released on 2011-01-03 with total page 617 pages. Available in PDF, EPUB and Kindle. Book excerpt: Primordial Cosmology deals with one of the most puzzling and fascinating topics debated in modern physics — the nature of the Big Bang singularity. The authors provide a self-consistent and complete treatment of the very early Universe dynamics, passing through a concise discussion of the Standard Cosmological Model, a precise characterization of the role played by the theory of inflation, up to a detailed analysis of the anisotropic and inhomogeneous cosmological models. The most peculiar feature of this book is its uniqueness in treating advanced topics of quantum cosmology with a well-traced link to more canonical and pedagogical notions of fundamental cosmology.This book traces clearly the backward temporal evolution of the Universe, starting with the Robertson-Walker geometry and ending with the recent results of loop quantum cosmology in view of the Big Bounce. The reader is accompanied in this journey by an initial technical presentation which, thanks to the fundamental tools given earlier in the book, never seems heavy or obscure.

Download or read book From Newton Einstein to GOD written by Leong Ying and published by Greenleaf Book Group. This book was released on 2015-01-13 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: From Newton, Einstein to GOD is a poetic memoir that follows the amazing life of Leong Ying, beginning with his birth into poverty in 1961 in the former British colony of Singapore. After a short time, his family is able to make their way to England. There, as a child with prophetic abilities and a penchant for daydreaming, Ying turns away from his spirituality and toward the logic of science, ultimately earning a graduate degree in nuclear physics. Shortly thereafter, Ying immigrates to the United States and, for a time, chases what he sees as the declining American dream. In this new land, the duality of Ying’s life comes into focus, and he uses science—which he’d formerly applied to deny the existence of God—to reveal the “ultimate godly secrets.” In doing so, he discovers the Twin Universe, a grand cosmic cycle that will lead us into a new phase, one that will have a dramatic influence on the existence and evolution of humankind and our humanity to come. Through his unique writing style, Ying’s philosophy and ideas come vividly to life. Interspersed with photographs from his youth and adulthood, each page is a unique dance between words and images that will inspire and enlighten.

Download or read book Thirteenth Marcel Grossmann Meeting The On Recent Developments In Theoretical And Experimental General Relativity Astrophysics And Relativistic Field Theories Proceedings Of The Mg13 Meeting On General Relativity In 3 Volumes written by Remo Ruffini and published by World Scientific. This book was released on 2015-01-26 with total page 2807 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Marcel Grossmann Meetings seek to further the development of the foundations and applications of Einstein's general relativity by promoting theoretical understanding in the relevant fields of physics, mathematics, astronomy and astrophysics and to direct future technological, observational, and experimental efforts. The meetings discuss recent developments in classical and quantum aspects of gravity, and in cosmology and relativistic astrophysics, with major emphasis on mathematical foundations and physical predictions, having the main objective of gathering scientists from diverse backgrounds for deepening our understanding of spacetime structure and reviewing the current state of the art in the theory, observations and experiments pertinent to relativistic gravitation. The range of topics is broad, going from the more abstract classical theory, quantum gravity, branes and strings, to more concrete relativistic astrophysics observations and modeling.The three volumes of the proceedings of MG13 give a broad view of all aspects of gravitational physics and astrophysics, from mathematical issues to recent observations and experiments. The scientific program of the meeting included 33 morning plenary talks during 6 days, and 75 parallel sessions over 4 afternoons. Volume A contains plenary and review talks ranging from the mathematical foundations of classical and quantum gravitational theories including recent developments in string/brane theories, to precision tests of general relativity including progress towards the detection of gravitational waves, and from supernova cosmology to relativistic astrophysics including such topics as gamma ray bursts, black hole physics both in our galaxy and in active galactic nuclei in other galaxies, and neutron star and pulsar astrophysics. Volumes B and C include parallel sessions which touch on dark matter, neutrinos, X-ray sources, astrophysical black holes, neutron stars, binary systems, radiative transfer, accretion disks, quasors, gamma ray bursts, supernovas, alternative gravitational theories, perturbations of collapsed objects, analog models, black hole thermodynamics, numerical relativity, gravitational lensing, large scale structure, observational cosmology, early universe models and cosmic microwave background anisotropies, inhomogeneous cosmology, inflation, global structure, singularities, chaos, Einstein-Maxwell systems, wormholes, exact solutions of Einstein's equations, gravitational waves, gravitational wave detectors and data analysis, precision gravitational measurements, quantum gravity and loop quantum gravity, quantum cosmology, strings and branes, self-gravitating systems, gamma ray astronomy, and cosmic rays and the history of general relativity.

Download or read book The Future of Theoretical Physics and Cosmology written by G. W. Gibbons and published by Cambridge University Press. This book was released on 2003-10-23 with total page 924 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on lectures given in honour of Stephen Hawking's sixtieth birthday, this book comprises contributions from some of the world's leading theoretical physicists. It begins with a section containing chapters by successful scientific popularisers, bringing to life both Hawking's work and other exciting developments in physics. The book then goes on to provide a critical evaluation of advanced subjects in modern cosmology and theoretical physics. Topics covered include the origin of the universe, warped spacetime, cosmological singularities, quantum gravity, black holes, string theory, quantum cosmology and inflation. As well as providing a fascinating overview of the wide variety of subject areas to which Stephen Hawking has contributed, this book represents an important assessment of prospects for the future of fundamental physics and cosmology.

Download or read book Quantum Physics Chaos Theory and Cosmology written by M. Namiki and published by American Institute of Physics. This book was released on 1996 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The papers in this book -- contributed by such well-known figures as J. A. Wheeler, K. Thorne, and I. Prigogine -- investigate the uncharted territory at the boundary between relativity and quantum theory, where researchers are working hard to find some common ground for these two pillars of modern science. Also discussed are the latest experimental results that help guide the search for quantum gravity and quantum chaos. The unifying principle for the book lies in the cosmological implications arising from this research, which is conducted at the outer limits of physics." "Contents" The papers in this book -- contributed by such well-known figures as J. A. Wheeler, K. Thorne, and I. Prigogine -- investigate the uncharted territory at the boundary between relativity and quantum theory, where researchers are working hard to find some common ground for these two pillars of modern science. Also discussed are the latest experimental results that help guide the search for quantum gravity and quantum chaos. The unifying principle for the book lies in the cosmological implications arising from this research, which is conducted at the outer limits of physics.