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Hamiltonian Lattice Field Theory
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Book Synopsis Hamiltonian Lattice Field Theory by : Robert Zako
Download or read book Hamiltonian Lattice Field Theory written by Robert Zako and published by . This book was released on 1991 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Phases of Quantum Chromodynamics by : John B. Kogut
Download or read book The Phases of Quantum Chromodynamics written by John B. Kogut and published by Cambridge University Press. This book was released on 2003-12-24 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the physical phases of quantum chromodynamics (QCD) in ordinary environments and also in extreme environments of high temperatures and high baryon number. It introduces lattice gauge theory, covering fundamentals and important developments, and emphasises the application of QCD to the study of matter in extreme environments.
Book Synopsis Quantum Fields on a Lattice by : Istvan Montvay
Download or read book Quantum Fields on a Lattice written by Istvan Montvay and published by Cambridge University Press. This book was released on 1994 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a comprehensive and coherent account of the theory of quantum fields on a lattice.
Book Synopsis Lattice Gauge Theories: An Introduction by : Heinz J Rothe
Download or read book Lattice Gauge Theories: An Introduction written by Heinz J Rothe and published by World Scientific. This book was released on 1992-01-29 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces a large number of topics in lattice gauge theories, including analytical as well as numerical methods. It provides young physicists with the theoretical background and basic computational tools in order to be able to follow the extensive literature on the subject, and to carry out research on their own. Whenever possible, the basic ideas and technical inputs are demonstrated in simple examples, so as to avoid diverting the readers' attention from the main line of thought. Sufficient technical details are however given so that he can fill in the remaining details with the help of the cited literature without too much effort.This volume is designed for graduate students in theoretical elementary particle physics or statistical mechanics with a basic knowledge in Quantum Field Theory.
Book Synopsis Nuclear Lattice Effective Field Theory by : Timo A. Lähde
Download or read book Nuclear Lattice Effective Field Theory written by Timo A. Lähde and published by Springer. This book was released on 2019-05-07 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This primer begins with a brief introduction to the main ideas underlying Effective Field Theory (EFT) and describes how nuclear forces are obtained from first principles by introducing a Euclidean space-time lattice for chiral EFT. It subsequently develops the related technical aspects by addressing the two-nucleon problem on the lattice and clarifying how it fixes the numerical values of the low-energy constants of chiral EFT. In turn, the spherical wall method is introduced and used to show how improved lattice actions render higher-order corrections perturbative. The book also presents Monte Carlo algorithms used in actual calculations. In the last part of the book, the Euclidean time projection method is introduced and used to compute the ground-state properties of nuclei up to the mid-mass region. In this context, the construction of appropriate trial wave functions for the Euclidean time projection is discussed, as well as methods for determining the energies of the low-lying excitations and their spatial structure. In addition, the so-called adiabatic Hamiltonian, which allows nuclear reactions to be precisely calculated, is introduced using the example of alpha-alpha scattering. In closing, the book demonstrates how Nuclear Lattice EFT can be extended to studies of unphysical values of the fundamental parameters, using the triple-alpha process as a concrete example with implications for the anthropic view of the Universe. Nuclear Lattice Effective Field Theory offers a concise, self-contained, and introductory text suitable for self-study use by graduate students and newcomers to the field of modern computational techniques for atomic nuclei and nuclear reactions.
Book Synopsis Lattice Quantum Field Theory Of The Dirac And Gauge Fields: Selected Topics by : Belal Ehsan Baaquie
Download or read book Lattice Quantum Field Theory Of The Dirac And Gauge Fields: Selected Topics written by Belal Ehsan Baaquie and published by World Scientific. This book was released on 2020-07-30 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: Quantum Chromodynamics is the theory of strong interactions: a quantum field theory of colored gluons (Yang-Mills gauge fields) coupled to quarks (Dirac fermion fields). Lattice gauge theory is defined by discretizing spacetime into a four-dimensional lattice — and entails defining gauge fields and Dirac fermions on a lattice. The applications of lattice gauge theory are vast, from the study of high-energy theory and phenomenology to the numerical studies of quantum fields.Lattice Quantum Field Theory of the Dirac and Gauge Fields: Selected Topics examines the mathematical foundations of lattice gauge theory from first principles. It is indispensable for the study of Dirac and lattice gauge fields and lays the foundation for more advanced and specialized studies.
Book Synopsis Chaos And Gauge Field Theory by : Tamas S Biro
Download or read book Chaos And Gauge Field Theory written by Tamas S Biro and published by World Scientific. This book was released on 1995-03-07 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces a rapidly growing new research area — the study of dynamical properties of elementary fields. The methods used in this field range from algebraic topology to parallel computer programming. The main aim of this research is to understand the behavior of elementary particles and fields under extreme circumstances, first of all at high temperature and energy density generated in the largest accelerators of the world and supposed to be present in the early evolution of our Universe shortly after the Big Bang.In particular, chaos is rediscovered in a new appearance in these studies: in gauge theories the well-known divergence of initially adjacent phase space trajectories leads over into a quasi-thermal distribution of energy with a saturated average distance of different field configurations. This particular behavior is due to the compactness of the gauge group.Generally this book is divided into two main parts: the first part mainly deals with the “classical” discovery of chaos in gauge field theory while the second part presents methods and research achievements in recent years. One chapter is devoted entirely to the presentation and discussion of computational problems. The major theme, returning again and again throughout the book, is of course the phenomenon with a thousand faces — chaos itself.This book is intended to be a research book which introduces the reader to a new research field, presenting the basic new ideas in detail but just briefly touching on the problems of other related fields, like perturbative or lattice gauge theory, or dissipative chaos. The terminology of these related fields are, however, used.Exercises are also included in this book. They deepen the reader's understanding of special issues and at the same time offer more information on related problems. For the convenience of the fast reader, solutions are presented right after the problems.
Book Synopsis Introduction to Quantum Fields on a Lattice by : Jan Smit
Download or read book Introduction to Quantum Fields on a Lattice written by Jan Smit and published by Cambridge University Press. This book was released on 2002-09-19 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description
Book Synopsis Condensed Matter Field Theory by : Alexander Altland
Download or read book Condensed Matter Field Theory written by Alexander Altland and published by Cambridge University Press. This book was released on 2010-03-11 with total page 785 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Quarks, Gluons and Lattices by : Michael Creutz
Download or read book Quarks, Gluons and Lattices written by Michael Creutz and published by Cambridge University Press. This book was released on 2023-01-31 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 1983 book, reissued as OA, introduces the lattice approach to QFT for elementary particle and solid state physicists.
Book Synopsis The Large N Expansion in Quantum Field Theory and Statistical Physics by : E. Brzin
Download or read book The Large N Expansion in Quantum Field Theory and Statistical Physics written by E. Brzin and published by World Scientific. This book was released on 1993 with total page 1154 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains an edited comprehensive collection of reprints on the subject of the large N limit as applied to a wide spectrum of problems in quantum field theory and statistical mechanics. The topics include (1) Spin Systems; (2) Large N Limit of Gauge Theories; (3) Two-Dimensional QCD; (4) Exact Results on Planar Perturbation Series and the Nature of the 1/N Series; (5) Schwinger-Dyson Equations Approach; (6) QCD Phenomenological Lagrangians and the Large N Limit; (7) Other Approaches to Large N: Eguchi-Kawai Model, Collective Fields and Numerical Methods; (8) Matrix Models; (9) Two-Dimensional Gravity and String Theory.
Book Synopsis Series Expansion Methods for Strongly Interacting Lattice Models by : Jaan Oitmaa
Download or read book Series Expansion Methods for Strongly Interacting Lattice Models written by Jaan Oitmaa and published by Cambridge University Press. This book was released on 2006-04-06 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive guide to series expansion methods for lattice models in theoretical physics.
Book Synopsis Quantum Field Theory by : Eduardo Fradkin
Download or read book Quantum Field Theory written by Eduardo Fradkin and published by Princeton University Press. This book was released on 2021-03-23 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Book Synopsis Lattice Methods for Quantum Chromodynamics by : Thomas DeGrand
Download or read book Lattice Methods for Quantum Chromodynamics written by Thomas DeGrand and published by World Scientific. This book was released on 2006 with total page 363 pages. Available in PDF, EPUB and Kindle. Book excerpt: At a time of robust worldwide debates on globalization, this compact volume shows: how successful each of the East Asian economies have been in harnessing globalization by appropriate and alternative means to catch up with the advanced economies; and what implications can be drawn to assess Chinese economic growth in context. The essays in this book include supporting notes to review effectively the highlights of the development of East Asia, over the six decades after World War II: why the region has performed so well economically relative to the rest of the developing world; which are the most challenging limitations to be addressed; and several sensational controversies in the development economics literature to be sensibly resolved.
Book Synopsis The Effective Crystal Field Potential by : J. Mulak
Download or read book The Effective Crystal Field Potential written by J. Mulak and published by Elsevier. This book was released on 2000-06-22 with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt: As it results from the very nature of things, the spherical symmetry of the surrounding of a site in a crystal lattice or an atom in a molecule can never occur. Therefore, the eigenfunctions and eigenvalues of any bound ion or atom have to differ from those of spherically symmetric respective free ions. In this way, the most simplified concept of the crystal field effect or ligand field effect in the case of individual molecules can be introduced. The conventional notion of the crystal field potential is narrowed to its non-spherical part only through ignoring the dominating spherical part which produces only a uniform energy shift of gravity centres of the free ion terms. It is well understood that the non-spherical part of the effective potential "seen" by open-shell electrons localized on a metal ion plays an essential role in most observed properties. Light adsorption, electron paramagnetic resonance, inelastic neutron scattering and basic characteristics derived from magnetic and thermal measurements, are only examples of a much wider class of experimental results dependent on it. The influence is discerned in all kinds of materials containing unpaired localized electrons: ionic crystals, semiconductors and metallic compounds including materials as intriguing as high-Tc superconductors, or heavy fermion systems. It is evident from the above that we deal with a widespread effect relative to all free ion terms except those which can stand the lowered symmetry, e.g. S-terms. Despite the universality of the phenomenon, the available handbooks on solid state physics pay only marginal attention to it, merely making mention of its occurrence. Present understanding of the origins of the crystal field potential differs essentially from the pioneering electrostatic picture postulated in the twenties. The considerable development of the theory that has been put forward since then can be traced in many regular articles scattered throughout the literature. The last two decades have left their impression as well but, to the authors' best knowledge, this period has not been closed with a more extended review. This has also motivated us to compile the main achievements in the field in the form of a book.
Book Synopsis Lectures on Field Theory and Topology by : Daniel S. Freed
Download or read book Lectures on Field Theory and Topology written by Daniel S. Freed and published by American Mathematical Soc.. This book was released on 2019-08-23 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: These lectures recount an application of stable homotopy theory to a concrete problem in low energy physics: the classification of special phases of matter. While the joint work of the author and Michael Hopkins is a focal point, a general geometric frame of reference on quantum field theory is emphasized. Early lectures describe the geometric axiom systems introduced by Graeme Segal and Michael Atiyah in the late 1980s, as well as subsequent extensions. This material provides an entry point for mathematicians to delve into quantum field theory. Classification theorems in low dimensions are proved to illustrate the framework. The later lectures turn to more specialized topics in field theory, including the relationship between invertible field theories and stable homotopy theory, extended unitarity, anomalies, and relativistic free fermion systems. The accompanying mathematical explanations touch upon (higher) category theory, duals to the sphere spectrum, equivariant spectra, differential cohomology, and Dirac operators. The outcome of computations made using the Adams spectral sequence is presented and compared to results in the condensed matter literature obtained by very different means. The general perspectives and specific applications fuse into a compelling story at the interface of contemporary mathematics and theoretical physics.
Book Synopsis An Introduction To Quantum Field Theory by : Michael E. Peskin
Download or read book An Introduction To Quantum Field Theory written by Michael E. Peskin and published by CRC Press. This book was released on 2018-05-04 with total page 866 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Quantum Field Theory is a textbook intended for the graduate physics course covering relativistic quantum mechanics, quantum electrodynamics, and Feynman diagrams. The authors make these subjects accessible through carefully worked examples illustrating the technical aspects of the subject, and intuitive explanations of what is going on behind the mathematics. After presenting the basics of quantum electrodynamics, the authors discuss the theory of renormalization and its relation to statistical mechanics, and introduce the renormalization group. This discussion sets the stage for a discussion of the physical principles that underlie the fundamental interactions of elementary particle physics and their description by gauge field theories.