Download or read book Selected Topics On The General Properties Of Quantum Field Theory Lecture Notes written by Franco Strocchi and published by World Scientific. This book was released on 1993-11-30 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a readable account of the foundations of QFT, in particular of the Euclidean formulation with emphasis on the interplay between physical requirements and mathematical structures. The general structures underlying the conventional local (renormalizable) formulation of gauge QFT are discussed also on the basis of simple models. The mechanism of confinement, non-trivial topology and θ-vacua, chiral symmetry breaking and solution of the U(1) problem are clarified through a careful analysis of the Schwinger model, which settles unclear or debated points.
Download or read book Selected Topics on the General Properties of Quantum Field Theory written by F. Strocchi and published by World Scientific. This book was released on 1993 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a readable account of the foundations of QFT, in particular of the Euclidean formulation with emphasis on the interplay between physical requirements and mathematical structures. The general structures underlying the conventional local (renormalizable) formulation of gauge QFT are discussed also on the basis of simple models. The mechanism of confinement, non-trivial topology and ?-vacua, chiral symmetry breaking and solution of the U(1) problem are clarified through a careful analysis of the Schwinger model, which settles unclear or debated points.
Download or read book Quantum Field Theory I Basics in Mathematics and Physics written by Eberhard Zeidler and published by Springer Science & Business Media. This book was released on 2007-04-18 with total page 1060 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of a modern introduction to quantum field theory which addresses both mathematicians and physicists, at levels ranging from advanced undergraduate students to professional scientists. The book bridges the acknowledged gap between the different languages used by mathematicians and physicists. For students of mathematics the author shows that detailed knowledge of the physical background helps to motivate the mathematical subjects and to discover interesting interrelationships between quite different mathematical topics. For students of physics, fairly advanced mathematics is presented, which goes beyond the usual curriculum in physics.
Download or read book Quantum Field Theory and Beyond written by Erhard Seiler and published by World Scientific. This book was released on 2008 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a collection of essays written in honor of Wolfhart Zimmermann''s 80th birthday, most of them based on talks presented at a symposium in his honor.The book shows the unifying force of a subject (Quantum Field Theory) and a person (Zimmermann). It ranges from fundamental questions in quantum physics over applications to particle physics and noncommutative geometry to the latest developments in many body theory and dynamical systems. These key ideas are elucidated by worldwide-recognized experts including Faddeev, Becchi, Buchholz, Lowenstein and Salmhofer.Readers seeking examples on how a subject has evolved, diversified and deepened over the course of several decades and how a single person can influence this process can find here a perfect illustration. Altogether, readers are treated to a high-brow intellectual adventure.
Download or read book Rigorous Quantum Field Theory written by Anne Boutet de Monvel and published by Springer Science & Business Media. This book was released on 2006-12-15 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Jacques Bros has greatly advanced our present understanding of rigorous quantum field theory through numerous contributions; this book arose from an international symposium held in honour of Bros on the occasion of his 70th birthday. Key topics in this volume include: Analytic structures of Quantum Field Theory (QFT), renormalization group methods, gauge QFT, stability properties and extension of the axiomatic framework, QFT on models of curved spacetimes, QFT on noncommutative Minkowski spacetime.
Download or read book Quantum Theory as an Emergent Phenomenon written by Stephen L. Adler and published by Cambridge University Press. This book was released on 2004-08-26 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum mechanics is our most successful physical theory. However, it raises conceptual issues that have perplexed physicists and philosophers of science for decades. This 2004 book develops an approach, based on the proposal that quantum theory is not a complete, final theory, but is in fact an emergent phenomenon arising from a deeper level of dynamics. The dynamics at this deeper level are taken to be an extension of classical dynamics to non-commuting matrix variables, with cyclic permutation inside a trace used as the basic calculational tool. With plausible assumptions, quantum theory is shown to emerge as the statistical thermodynamics of this underlying theory, with the canonical commutation/anticommutation relations derived from a generalized equipartition theorem. Brownian motion corrections to this thermodynamics are argued to lead to state vector reduction and to the probabilistic interpretation of quantum theory, making contact with phenomenological proposals for stochastic modifications to Schrödinger dynamics.
Download or read book ITEP Lectures on Particle Physics and Field Theory written by Mikhail A. Shifman and published by World Scientific. This book was released on 1999 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book ITEP Lectures in Particle Physics and Field Theory written by Mikhail A. Shifman and published by World Scientific. This book was released on 1999 with total page 919 pages. Available in PDF, EPUB and Kindle. Book excerpt: For almost two decades Prof. Shifman, a clear and pedagogical expositor, has been giving review lectures on frontier topics in theoretical high energy physics. This two-volume book is a collection of some of the best of those lectures. The lectures written in the 1980's and early 1990's have been revised and updated specifically for this publication. The lectures in this book are intended for beginners - graduate students and young researchers - who are about to delve into the intricacies of the theory. They were used by the author in his course ';Advanced Modern Field Theory and Its Applications';, given in the academic year 1994/95 at the University of Minnesota.A wide range of key topics is covered. In Volume 1, the first two chapters are devoted to quantum chromodynamics as the theory of hadrons. The author gives an in-depth discussion of a variety ofpowerful methods based on Wilson's operator product expansion. Chapter 3 (written together with V Novikov, A Vainshtein, and V Zakharov) is the most systematic and pedagogical presentation of instantons in the gauge theories one can find in the literature. Chapter 4 introduces supersymmetry. Chapter 5, concluding this volume, reviews the fascinating dynamics of supersymmetric gauge theories in the strong coupling regime. Chapter 6, which opens Volume 2, is a culmination of the supersymmetric theme. It gives a state-of-the-art description of the breakthrough developments in supersymmetric gauge theories. It has been written specifically for this book by A Vainshtein and the author. Chapter 7 is designed as a primer of two-dimensional conformal field theory, which constitutes the basis of modern string theory. Chapter 8, the last, presents remarkable new findings in quantum mechanics. Every chapter contains exercises and a list of recommended literature.Prof. Shifman has been an active participant and significant contributor in the development of the ideas presented in this book. This accounts for the historical remarks and digressions interspersed in the book, enhancing its pedagogical role. The book will serve as a comprehensive reference and textbook for all graduate students and researchers interested in modern particle physics. It will also be a useful guide for lecturers.
Download or read book Foundations Of Quantum Chromodynamics An Introduction To Perturbative Methods In Gauge Theories 2nd Edition written by Taizo Muta and published by World Scientific Publishing Company. This book was released on 1998-06-06 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume develops the techniques of perturbative QCD in great pedagogical detail starting with field theory. Aside from extensive treatments of the renormalization group technique, the operator product expansion formalism and their applications to short-distance reactions, this book provides a comprehensive introduction to gauge theories. Examples and exercises are provided to amplify the discussions on important topics. This is an ideal textbook on the subject of quantum chromodynamics and is essential for researchers and graduate students in high energy physics, nuclear physics and mathematical physics.
Download or read book L vy Processes written by Ole E Barndorff-Nielsen and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Lévy process is a continuous-time analogue of a random walk, and as such, is at the cradle of modern theories of stochastic processes. Martingales, Markov processes, and diffusions are extensions and generalizations of these processes. In the past, representatives of the Lévy class were considered most useful for applications to either Brownian motion or the Poisson process. Nowadays the need for modeling jumps, bursts, extremes and other irregular behavior of phenomena in nature and society has led to a renaissance of the theory of general Lévy processes. Researchers and practitioners in fields as diverse as physics, meteorology, statistics, insurance, and finance have rediscovered the simplicity of Lévy processes and their enormous flexibility in modeling tails, dependence and path behavior. This volume, with an excellent introductory preface, describes the state-of-the-art of this rapidly evolving subject with special emphasis on the non-Brownian world. Leading experts present surveys of recent developments, or focus on some most promising applications. Despite its special character, every topic is aimed at the non- specialist, keen on learning about the new exciting face of a rather aged class of processes. An extensive bibliography at the end of each article makes this an invaluable comprehensive reference text. For the researcher and graduate student, every article contains open problems and points out directions for futurearch. The accessible nature of the work makes this an ideal introductory text for graduate seminars in applied probability, stochastic processes, physics, finance, and telecommunications, and a unique guide to the world of Lévy processes.
Download or read book Stochastic Partial Differential Equations and Applications written by Giuseppe Da Prato and published by CRC Press. This book was released on 2002-04-05 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the proceedings of the International Conference on Stochastic Partial Differential Equations and Applications-V held in Trento, Italy, this illuminating reference presents applications in filtering theory, stochastic quantization, quantum probability, and mathematical finance and identifies paths for future research in the field. Stochastic Partial Differential Equations and Applications analyzes recent developments in the study of quantum random fields, control theory, white noise, and fluid dynamics. It presents precise conditions for nontrivial and well-defined scattering, new Gaussian noise terms, models depicting the asymptotic behavior of evolution equations, and solutions to filtering dilemmas in signal processing. With contributions from more than 40 leading experts in the field, Stochastic Partial Differential Equations and Applications is an excellent resource for pure and applied mathematicians; numerical analysts; mathematical physicists; geometers; economists; probabilists; computer scientists; control, electrical, and electronics engineers; and upper-level undergraduate and graduate students in these disciplines.
Download or read book Introduction to Effective Field Theory written by C. P. Burgess and published by Cambridge University Press. This book was released on 2020-12-10 with total page 665 pages. Available in PDF, EPUB and Kindle. Book excerpt: This advanced, accessible textbook on effective field theories uses worked examples to bring this important topic to a wider audience.
Download or read book 50 Years of Yang Mills Theory written by G. 't Hooft and published by World Scientific. This book was released on 2005 with total page 498 pages. Available in PDF, EPUB and Kindle. Book excerpt: On the 50th anniversary of YangOCoMills theory, this invaluable volume looks back at the developments and achievements in elementary particle physics that ensued from that beautiful idea. During the last five decades, Yang-Mills theory, which is undeniably the most important cornerstone of theoretical physics, has expanded widely. It has been investigated from many perspectives, and many new and unexpected features have been uncovered from this theory. In recent decades, apart from high energy physics, the theory has been actively applied in other branches of physics, such as statistical physics, condensed matter physics, nonlinear systems, etc. This makes the theory an indispensable topic for all who are involved in physics. An international team of experts, each of whom has left his mark on the developments of this remarkable theory, contribute essays or more detailed technical accounts to this volume. These articles highlight the new discoveries from the respective authorsOCO perspectives. The distinguished contributors are: S Adler, F A Bais, C Becchi, M Creutz, A De Rjula, B S DeWitt, F Englert, L D Faddeev, P Hasenfratz, R Jackiw, A Polyakov, V N Popov, R Stora, P van Baal, P van Nieuwenhuizen, S Weinberg, F Wilczek, E Witten, C N Yang. Included in each article are introductory and explanatory remarks by the editor, G OCOt Hooft, who is himself a major player in the development of Yang-Mills theory."
Download or read book Quantum Gravity Proceedings Of The Sixth Moscow Quantum Gravity Seminar written by V A Berezin and published by World Scientific. This book was released on 1998-03-09 with total page 666 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Sixth Moscow Quantum Gravity Seminar was a continuation of the series of seminars which has played an important role in the consolidation of the international quantum gravity community and which has greatly affected the development of the field. As well as papers presented at the conference, this proceedings volume includes the papers of invited speakers who were unable to attend the seminar itself.
Download or read book Lattice Gauge Theories An Introduction Second Edition written by Heinz J Rothe and published by World Scientific Publishing Company. This book was released on 1997-06-09 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the reader to an area of elementary particle physics which has been the subject of intensive research in the past two decades. It provides graduate students with the basic theoretical background on quantum gauge field theories formulated on a space-time lattice, and with the computational tools for carrying out research in this field. The book is a substantially extended version of the first edition which appeared in 1992. Much effort has been invested to present the material in a transparent way, and in exemplifying subtle points in simple models. The material covered should enable the reader to follow the vast literature on the subject without too much difficulties. Hopefully the book will motivate young physicists to carry out research in this area of elementary particle physics.
Download or read book Symmetries And Curvature Structure In General Relativity written by Graham S Hall and published by World Scientific. This book was released on 2004-04-27 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a text on classical general relativity from a geometrical viewpoint. Introductory chapters are provided on algebra, topology and manifold theory, together with a chapter on the basic ideas of space-time manifolds and Einstein's theory. There is a detailed account of algebraic structures and tensor classification in general relativity and also of the relationships between the metric, connection and curvature structures on space-times. The latter includes chapters on holonomy and sectional curvature. An extensive study is presented of symmetries in general relativity, including isometries, homotheties, conformal symmetries and affine, projective and curvature collineations. Several general properties of such symmetries are studied and a preparatory section on transformation groups and on the properties of Lie algebras of vector fields on manifolds is provided.
Download or read book The Elementary Process of Bremsstrahlung written by Eberhard Haug and published by World Scientific. This book was released on 2004 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ch. 1. Introduction. 1.1. General introduction. 1.2. Short historical note. 1.3. Notations and definitions -- ch. 2. Classical and semiclassical considerations on the bremsstrahlung process. 2.1. Electron-nucleus bremsstrahlung. 2.2. Electron-electron bremsstrahlung. 2.3. Weizsäcker-Williams method of virtual quanta -- ch. 3. Theory of the elementary process of electron-nucleus bremsstrahlung. 3.1. Introduction. 3.2. Bremsstrahlung cross section. 3.3. Born approximation (Bethe-Heitler formula). 3.4. Approximations with the Sommerfeld-Maue wave function. 3.5. Calculation using relativistic partial-wave expansions. 3.6. Spin-dependent cross section and bremsstrahlung asymmetry. 3.7. Bremsstrahlung polarization. 3.8. Radiative corrections to bremsstrahlung -- ch. 4. Experiments on the elementary process of electron-nucleus bremsstrahlung. 4.1. Survey of experimental devices. 4.2. Electron-photon coincidence experiments without regard to polarization variables. 4.3. Electron-photon coincidence experiments including polarization variables. 4.4. Tagged photons -- ch. 5. Theory of the elementary process of electron-electron bremsstrahlung. 5.1. Introduction. 5.2. Kinematics. 5.3. Cross section. 5.4. Bremsstrahlung in the field of bound electrons -- ch. 6. Experiments on the elementary process of electron-electron bremsstrahlung. 6.1. Electron-photon coincidence experiments without regard to polarization variables. 6.2. Electron-photon coincidence experiments including polarization variables -- ch. 7. Some remarks on integrated cross sections and further bremsstrahlung processes. 7.1. Integrated cross sections. 7.2. Positron-nucleus bremsstrahlung. 7.3. Electron-positron bremsstrahlung. 7.4. Two-photon bremsstrahlung. 7.5. Polarization bremsstrahlung. 7.6. Crystalline targets: coherent bremsstrahlung. 7.7. Bremsstrahlung from heavy particles. 7.8. Bremsstrahlung in nuclear decays. 7.9. Bremsstrahlung in magnetic fields. 7.10. Stimulated bremsstrahlung
