Problems on High Energy Physics and Field Theory
Author | : Sergeĭ Mikhaĭlovich Troshin |
Publisher | : |
Total Pages | : 320 |
Release | : 1991 |
Genre | : Gravitation |
ISBN | : |
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Author | : Sergeĭ Mikhaĭlovich Troshin |
Publisher | : |
Total Pages | : 320 |
Release | : 1991 |
Genre | : Gravitation |
ISBN | : |
Author | : G. L. Rcheulishvili |
Publisher | : |
Total Pages | : 312 |
Release | : 1995 |
Genre | : Gravitation |
ISBN | : |
Author | : Xiao-Gang Wen |
Publisher | : OUP Oxford |
Total Pages | : 520 |
Release | : 2004-06-04 |
Genre | : Science |
ISBN | : 0191523968 |
For most of the last century, condensed matter physics has been dominated by band theory and Landau's symmetry breaking theory. In the last twenty years, however, there has been the emergence of a new paradigm associated with fractionalisation, topological order, emergent gauge bosons and fermions, and string condensation. These new physical concepts are so fundamental that they may even influence our understanding of the origin of light and fermions in the universe. This book is a pedagogical and systematic introduction to the new concepts and quantum field theoretical methods (which have fuelled the rapid developments) in condensed matter physics. It discusses many basic notions in theoretical physics which underlie physical phenomena in nature. Topics covered are dissipative quantum systems, boson condensation, symmetry breaking and gapless excitations, phase transitions, Fermi liquids, spin density wave states, Fermi and fractional statistics, quantum Hall effects, topological and quantum order, spin liquids, and string condensation. Methods covered are the path integral, Green's functions, mean-field theory, effective theory, renormalization group, bosonization in one- and higher dimensions, non-linear sigma-model, quantum gauge theory, dualities, slave-boson theory, and exactly soluble models beyond one-dimension. This book is aimed at teaching graduate students and bringing them to the frontiers of research in condensed matter physics.
Author | : Leo G. Sapogin |
Publisher | : Infinite Study |
Total Pages | : 35 |
Release | : |
Genre | : Mathematics |
ISBN | : |
This article describes a model of Unitary Quantum Field theory where the particle is represented as a wave packet. The frequency dispersion equation is chosen so that the packet periodically appears and disappears without form changings. The envelope of the process is identified with a conventional wave function. Equation of such a field is nonlinear and relativistically invariant.
Author | : Eduardo Fradkin |
Publisher | : Princeton University Press |
Total Pages | : 760 |
Release | : 2021-03-23 |
Genre | : Science |
ISBN | : 0691189552 |
The only graduate-level textbook on quantum field theory that fully integrates perspectives from high-energy, condensed-matter, and statistical physics Quantum field theory was originally developed to describe quantum electrodynamics and other fundamental problems in high-energy physics, but today has become an invaluable conceptual and mathematical framework for addressing problems across physics, including in condensed-matter and statistical physics. With this expansion of applications has come a new and deeper understanding of quantum field theory—yet this perspective is still rarely reflected in teaching and textbooks on the subject. Developed from a year-long graduate course Eduardo Fradkin has taught for years to students of high-energy, condensed-matter, and statistical physics, this comprehensive textbook provides a fully "multicultural" approach to quantum field theory, covering the full breadth of its applications in one volume. Brings together perspectives from high-energy, condensed-matter, and statistical physics in both the main text and exercises Takes students from basic techniques to the frontiers of physics Pays special attention to the relation between measurements and propagators and the computation of cross sections and response functions Focuses on renormalization and the renormalization group, with an emphasis on fixed points, scale invariance, and their role in quantum field theory and phase transitions Other topics include non-perturbative phenomena, anomalies, and conformal invariance Features numerous examples and extensive problem sets Also serves as an invaluable resource for researchers
Author | : Alexander Altland |
Publisher | : Cambridge University Press |
Total Pages | : 785 |
Release | : 2010-03-11 |
Genre | : Science |
ISBN | : 0521769752 |
This primer is aimed at elevating graduate students of condensed matter theory to a level where they can engage in independent research. Topics covered include second quantisation, path and functional field integration, mean-field theory and collective phenomena.
Author | : James Glimm |
Publisher | : Springer Science & Business Media |
Total Pages | : 430 |
Release | : 1985-01-01 |
Genre | : Science |
ISBN | : 9780817632755 |
This volume contains a selection of expository articles on quantum field theory and statistical mechanics by James Glimm and Arthur Jaffe. They include a solution of the original interacting quantum field equations and a description of the physics which these equations contain. Quantum fields were proposed in the late 1920s as the natural framework which combines quantum theory with relativ ity. They have survived ever since. The mathematical description for quantum theory starts with a Hilbert space H of state vectors. Quantum fields are linear operators on this space, which satisfy nonlinear wave equations of fundamental physics, including coupled Dirac, Max well and Yang-Mills equations. The field operators are restricted to satisfy a "locality" requirement that they commute (or anti-commute in the case of fer mions) at space-like separated points. This condition is compatible with finite propagation speed, and hence with special relativity. Asymptotically, these fields converge for large time to linear fields describing free particles. Using these ideas a scattering theory had been developed, based on the existence of local quantum fields.
Author | : C. P. Burgess |
Publisher | : Cambridge University Press |
Total Pages | : 665 |
Release | : 2020-12-10 |
Genre | : Science |
ISBN | : 0521195470 |
This advanced, accessible textbook on effective field theories uses worked examples to bring this important topic to a wider audience.
Author | : Erick J. Weinberg |
Publisher | : Cambridge University Press |
Total Pages | : 341 |
Release | : 2012-08-16 |
Genre | : Science |
ISBN | : 0521114632 |
An overview of classical solutions and their consequences in quantum field theory, high energy physics and cosmology for graduates and researchers.
Author | : Donald H. Perkins |
Publisher | : Cambridge University Press |
Total Pages | : 454 |
Release | : 2000-04-13 |
Genre | : Science |
ISBN | : 1139643371 |
This highly-regarded text provides a comprehensive introduction to modern particle physics. Extensively rewritten and updated, this 4th edition includes developments in elementary particle physics, as well as its connections with cosmology and astrophysics. As in previous editions, the balance between experiment and theory is continually emphasised. The stress is on the phenomenological approach and basic theoretical concepts rather than rigorous mathematical detail. Short descriptions are given of some of the key experiments in the field, and how they have influenced our thinking. Although most of the material is presented in the context of the Standard Model of quarks and leptons, the shortcomings of this model and new physics beyond its compass (such as supersymmetry, neutrino mass and oscillations, GUTs and superstrings) are also discussed. The text includes many problems and a detailed and annotated further reading list.