Download or read book Semiclassical Analysis of SU 2 Spin Networks written by Liang Yu and published by . This book was released on 2010 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Asymptotic Analysis of Spin Networks with Applications to Quantum Gravity written by Hal Mayi Haggard and published by . This book was released on 2011 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work initiates a study of the semiclassical limit of quantum gravity using a geometrical formulation of WKB theory and the Hamilton-Jacobi equation. Few conceptual principles are available to guide physicists in the construction of a quantum theory of gravity. Experimentally accessible signals are notoriously difficult to extract from existing proposals and one of the few reasonable constraints that we can impose is that the proposals agree with general relativity in the classical limit. Because general relativity is such a rich classical theory this is a non-trivial condition, one that has yet to be quantitatively achieved by any theory of quantum gravity. The main focus of the dissertation is on the semiclassics of $SU(2)$ spin networks. Spin networks play an important role in the loop gravity approach to quantum gravity, where they furnish a convenient and geometrically meaningful basis for the Hilbert space. Previous work on the semiclassics and asymptotics of spin networks have focused on a coherent state approach. Here we provide alternative methods based on geometrical Lagrangian manifolds. This new perspective is complementary; for example, calculation of amplitudes is very straightforward, and should open new research avenues. The thesis consists of two parts. In the first part, Foundations, we review the geometrical formulation of WKB theory and introduce the theory of spin networks from the beginning. These chapters make the tools and applications covered in this thesis readily accessible to new researchers and open the door to further cross-fertilization between researchers in semiclassics and loop gravity. In the second part, Applications, we focus on two applications of semiclassical theory to objects arising in loop gravity. In the loop approach to quantum gravity the geometry of space becomes discretized. Our first application is a derivation of the semiclassical spectrum and wavefunctions of the volume operator of a tetrahedral grain of space. A comparison of this spectrum with that found in loop gravity shows excellent agreement. This provides a simplified derivation of the quantization of space that strengthens earlier proposals along these lines. The second application is an asymptotic formula for the 9j-symbol including its amplitude, phase, and all of the phase adjustments. The 9j-symbol is a more complex spin network than has been treated at this level of detail before and arises as part of the vertex amplitude in spin foams, the loop gravity analog of the path integral approach to quantum gravity. More broadly this quantitative result provides further motivation for developing the asymptotics of higher 3nj-symbols; in the long term these asymptotics, which are accurate even for small quantum numbers, may furnish an effective computational tool for bridging loop gravity predictions to testable experiments.
Download or read book Computational Science and Its Applications ICCSA 2014 written by Beniamino Murgante and published by Springer. This book was released on 2014-07-03 with total page 869 pages. Available in PDF, EPUB and Kindle. Book excerpt: The six-volume set LNCS 8579-8584 constitutes the refereed proceedings of the 14th International Conference on Computational Science and Its Applications, ICCSA 2014, held in Guimarães, Portugal, in June/July 2014. The 347 revised papers presented in 30 workshops and a special track were carefully reviewed and selected from 1167 initial submissions. The 289 papers presented in the workshops cover various areas in computational science ranging from computational science technologies to specific areas of computational science such as computational geometry and security.
Download or read book Approaches to Quantum Gravity written by Daniele Oriti and published by Cambridge University Press. This book was released on 2009-03-05 with total page 605 pages. Available in PDF, EPUB and Kindle. Book excerpt: Containing contributions from leading researchers in this field, this book provides a complete overview of this field from the frontiers of theoretical physics research for graduate students and researchers. It introduces the most current approaches to this problem, and reviews their main achievements.
Download or read book Canonical Quantum Gravity Fundamentals And Recent Developments written by Francesco Cianfrani and published by World Scientific. This book was released on 2014-05-21 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to present a pedagogical and self-consistent treatment of the canonical approach to Quantum Gravity, starting from its original formulation to the most recent developments in the field.We start with an innovative and enlightening introduction to the formalism and concepts on which General Relativity has been built, giving all the information necessary in the later analysis. A brief sketch of the Standard Cosmological Model describing the Universe evolution is also given alongside the analysis of the inflationary mechanism. After deepening the fundamental properties of constrained dynamic systems, the Lagrangian approach to the Einsteinian Theory is presented in some detail, underlining the parallelism with non-Abelian gauge theories. Then, the basic concepts of the canonical approach to Quantum Mechanics are provided, focusing on all those formulations which are relevant for the Canonical Quantum Gravity problem. The Hamiltonian formulation of General Relativity and its constrained structure is then analyzed by comparing different formulations. The resulting quantum dynamics, described by the Wheeler-DeWitt equation, is fully discussed in order to outline its merits and limits. Afterwards, the reformulation of Canonical Quantum Gravity in terms of the Ashtekar-Barbero-Immirzi variables is faced by a detailed discussion of the resulting Loop Quantum Gravity Theory. Finally, we provide a consistent picture of canonical Quantum Cosmology by facing the main features of the Wheeler-DeWitt equation for the homogeneous Bianchi models and then by a detailed treatment of Loop Quantum Cosmology, including very recent developments.
Download or read book Classical and Quantum Cosmology written by Gianluca Calcagni and published by Springer. This book was released on 2017-01-06 with total page 854 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive textbook is devoted to classical and quantum cosmology, with particular emphasis on modern approaches to quantum gravity and string theory and on their observational imprint. It covers major challenges in theoretical physics such as the big bang and the cosmological constant problem. An extensive review of standard cosmology, the cosmic microwave background, inflation and dark energy sets the scene for the phenomenological application of all the main quantum-gravity and string-theory models of cosmology. Born of the author's teaching experience and commitment to bridging the gap between cosmologists and theoreticians working beyond the established laws of particle physics and general relativity, this is a unique text where quantum-gravity approaches and string theory are treated on an equal footing. As well as introducing cosmology to undergraduate and graduate students with its pedagogical presentation and the help of 45 solved exercises, this book, which includes an ambitious bibliography of about 3500 items, will serve as a valuable reference for lecturers and researchers.
Download or read book Cpt And Lorentz Symmetry Proceedings Of The 2nd Meeting written by V Alan Kostelecky and published by World Scientific. This book was released on 2002-02-20 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contents:CPT, SSB, Ether, and All That (Y Nambu)Sub-Millimeter Tests of the Gravitational Inverse Square Law (E G Adelberger)Test of CPT and Lorentz Invariance from Muonium Spectroscopy (D Kawall et al.)Study of CPT Violation at BELLE (Y Sakai)Tests of CPT and Lorentz Symmetry Using Hydrogen and Noble-Gas Masers (R L Walsworth)CPT and Lorentz Tests with Clocks in Space (N E Russell)CPT Results from KTeV (H Nguyen)Physical Instances of Noncommuting Coordinates (R Jackiw)Torsion Balance Tests of Spin Coupled Forces (B R Heckel)Prospects for Symmetry Breaking in String Theory (R Potting)Cold Antihydrogen and CPT (G Gabrielse et al.)and other papers Readership: Theoretical and experimental physicists with an interest in relativity and space-time symmetries. Keywords:
Download or read book Modern Canonical Quantum General Relativity written by Thomas Thiemann and published by Cambridge University Press. This book was released on 2008-11-13 with total page 739 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a complete treatise of the canonical quantisation of general relativity and the loop quantum gravity theory. Mathematical concepts are provided, so it can be read by graduate students with a basic knowledge of quantum field theory or general relativity.
Download or read book The Foundations of Spacetime Physics written by Antonio Vassallo and published by Taylor & Francis. This book was released on 2022-09-30 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an up-to-date overview of the foundations of spacetime physics. It features original essays written by world-class experts in the physics and philosophy of spacetime. The foundational questions regarding the origin and nature of spacetime are branching into new and exciting directions. These questions are not restricted to the quantum gravity program but also arise in the context of a well-established theory like general relativity. Against the background of these quick and diverse developments, this volume features a broad range of perspectives on spacetime. Part I focuses on the nature of spacetime in non-quantum theories, such as Newtonian mechanics and relativity. Part II explores some intriguing conceptual implications of developing a quantum theory of spacetime. The Foundations of Spacetime Physics is an essential resource for scholars and advanced students working in philosophy of physics, philosophy of science, and scientific metaphysics.
Download or read book Everything About Gravity Proceedings Of The Second Lecospa International Symposium written by Pisin Chen and published by World Scientific. This book was released on 2016-12-29 with total page 681 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings of the 2nd LeCosPA International Symposium, 'Everything about Gravity', collects 78 papers contributed by the symposium's Plenary Session and Parallel Session speakers. Organizers of the Parallel Sessions have in addition prepared summaries for their own sessions. The topics range from quasi-local energy in GR in the presence of gravitational radiations, a gauge theory perspective of gravity, naked black hole firewalls related to the black hole information loss paradox, a new theory of spacetime quantization, relations between the Schwinger effect and the Hawking radiation and Unruh effect, conformal frames in cosmology, surprises in nonrelativistic naturalness, inflation and tensor fluctuations, emergent spacetime for quantum gravity, understanding strongly coupled magnetism through holographic principle, the detections of dark matter, ultra-high energy cosmic neutrinos and cosmic rays, etc. Last but not least, the closing remark delivered by John Ellis raised the following question: Does cosmological inflation require a modification of Einstein's gravity?After 100 years of remarkable success of Einstein's general relativity, the development of a successful quantum theory of gravity has become a major goal in physics in the 21st century. This volume serves as a valuable reference for scientists who are interested in frontier research topics of gravity.
Download or read book Towards New Milestones In Our Quest To Go Beyond The Standard Model Proceedings Of The International School Of Subnuclear Physics written by Antonino Zichichi and published by World Scientific. This book was released on 2007-11-07 with total page 457 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is a collection of lectures given by distinguished physicists from around the world, covering the most recent advances in theoretical physics and the latest results from current experimental facilities.Following one of the principal aims of the School — to encourage and promote young physicists to achieve recognition at an international level — the students who distinguished themselves for the excellence of their research were given the opportunity to publish their presentations in this volume.
Download or read book Literature 1992 Part 1 written by Astronomisches Recheninstitut and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 1456 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Astronomy and Astrophysics Abstracts" appearing twice a year has become oneof the fundamental publications in the fields of astronomy, astrophysics andneighbouring sciences. It is the most important English-language abstracting journal in the mentioned branches. The abstracts are classified under more than a hundred subject categories, thus permitting a quick survey of the whole extended material. The AAA is a valuable and important publication for all students and scientists working in the fields of astronomy and related sciences. As such it represents a necessary ingredient of any astronomical library all over the world.
Download or read book Covariant Loop Quantum Gravity written by Carlo Rovelli and published by Cambridge University Press. This book was released on 2015 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensible introduction to the most fascinating research in theoretical physics: advanced quantum gravity. Ideal for researchers and graduate students.
Download or read book Time and Timelessness in Fundamental Physics and Cosmology written by Silvia De Bianchi and published by Springer Nature. This book was released on with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Quantum Field Theory written by Asoke N Mitra and published by Hindustan Book Agency and Indian National Science Academy. This book was released on 2000-03-15 with total page 922 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume reflects the huge and multi-dimensional impact of quantum field theory on the evolution of physics in the 20th century. Dr. Asoke Mitra, editor for the volume and former student and colleague of Freeman Dyson, gathers here a selection of articles in the areas where the impact of QFT has been especially pronounced: from particle physics to string theory and extending to facets of astrophysics and the physics of condensed matter.
Download or read book Loop Quantum Gravity The First 30 Years written by Abhay Ashtekar and published by World Scientific. This book was released on 2017-03-16 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Written by young theoretical physicists who are experts in the field, this volume is meant both to provide an introduction to the field and to offer a review of the latest developments, not discussed in many other existing books, for senior researchers. It will also appeal to scientists who do not work directly on LQG but are interested in issues at the interface of general relativity and quantum physics.'CERN CourierThis volume presents a snapshot of the state-of-the-art in loop quantum gravity from the perspective of younger leading researchers. It takes the reader from the basics to recent advances, thereby bridging an important gap.The aim is two-fold — to provide a contemporary introduction to the entire field for students and post-docs, and to present an overview of the current status for more senior researchers. The contributions include the latest developments that are not discussed in existing books, particularly recent advances in quantum dynamics both in the Hamiltonian and sum over histories approaches; and applications to cosmology of the early universe and to the quantum aspects of black holes.
Download or read book Black Holes Gravitational Radiation and the Universe written by B.R. Iyer and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 581 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our esteemed colleague C. V. Vishveshwara, popularly known as Vishu, turned sixty on 6th March 1998. His colleagues and well wishers felt that it would be appropriate to celebrate the occasion by bringing out a volume in his honour. Those of us who have had the good fortune to know Vishu, know that he is unique, in a class by himself. Having been given the privilege to be the volume's editors, we felt that we should attempt something different in this endeavour. Vishu is one of the well known relativists from India whose pioneer ing contributions to the studies of black holes is universally recognised. He was a student of Charles Misner. His Ph. D. thesis on the stability of the Schwarzschild black hole, coordinate invariant characterisation of the sta tionary limit and event horizon for Kerr black holes and subsequent seminal work on quasi-normal modes of black holes have passed on to become the starting points for detailed mathematical investigations on the nature of black holes. He later worked on other aspects related to black holes and compact objects. Many of these topics have matured over the last thirty years. New facets have also developed and become current areas of vigorous research interest. No longer are black holes, ultracompact objects or event horizons mere idealisations of mathematical physicists but concrete entities that astrophysicists detect, measure and look for. Astrophysical evidence is mounting up steadily for black holes.
