Quantum Fields On The Computer

Author : Michael Creutz
Publisher : World Scientific
Page : 448 pages
File Size : 49,9 Mb
Release : 1992
Category : Science
ISBN : 9810209401

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Quantum Fields on the Computer by Michael Creutz Pdf

This book provides an overview of recent progress in computer simulations of nonperturbative phenomena in quantum field theory, particularly in the context of the lattice approach. It is a collection of extensive self-contained reviews of various subtopics, including algorithms, spectroscopy, finite temperature physics, Yukawa and chiral theories, bounds on the Higgs meson mass, the renormalization group, and weak decays of hadrons.Physicists with some knowledge of lattice gauge ideas will find this book a useful and interesting source of information on the recent developments in the field.

Author : Carsten Schneider,Johannes Blümlein
Publisher : Springer Science & Business Media
Page : 411 pages
File Size : 53,5 Mb
Release : 2013-10-05
Category : Science
ISBN : 9783709116166

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Computer Algebra in Quantum Field Theory by Carsten Schneider,Johannes Blümlein Pdf

The book focuses on advanced computer algebra methods and special functions that have striking applications in the context of quantum field theory. It presents the state of the art and new methods for (infinite) multiple sums, multiple integrals, in particular Feynman integrals, difference and differential equations in the format of survey articles. The presented techniques emerge from interdisciplinary fields: mathematics, computer science and theoretical physics; the articles are written by mathematicians and physicists with the goal that both groups can learn from the other field, including most recent developments. Besides that, the collection of articles also serves as an up-to-date handbook of available algorithms/software that are commonly used or might be useful in the fields of mathematics, physics or other sciences.

Author : A. Zee
Publisher : Princeton University Press
Page : 608 pages
File Size : 42,6 Mb
Release : 2010-02-01
Category : Science
ISBN : 9781400835324

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Quantum Field Theory in a Nutshell by A. Zee Pdf

A fully updated edition of the classic text by acclaimed physicist A. Zee Since it was first published, Quantum Field Theory in a Nutshell has quickly established itself as the most accessible and comprehensive introduction to this profound and deeply fascinating area of theoretical physics. Now in this fully revised and expanded edition, A. Zee covers the latest advances while providing a solid conceptual foundation for students to build on, making this the most up-to-date and modern textbook on quantum field theory available. This expanded edition features several additional chapters, as well as an entirely new section describing recent developments in quantum field theory such as gravitational waves, the helicity spinor formalism, on-shell gluon scattering, recursion relations for amplitudes with complex momenta, and the hidden connection between Yang-Mills theory and Einstein gravity. Zee also provides added exercises, explanations, and examples, as well as detailed appendices, solutions to selected exercises, and suggestions for further reading. The most accessible and comprehensive introductory textbook available Features a fully revised, updated, and expanded text Covers the latest exciting advances in the field Includes new exercises Offers a one-of-a-kind resource for students and researchers Leading universities that have adopted this book include: Arizona State University Boston University Brandeis University Brown University California Institute of Technology Carnegie Mellon College of William & Mary Cornell Harvard University Massachusetts Institute of Technology Northwestern University Ohio State University Princeton University Purdue University - Main Campus Rensselaer Polytechnic Institute Rutgers University - New Brunswick Stanford University University of California - Berkeley University of Central Florida University of Chicago University of Michigan University of Montreal University of Notre Dame Vanderbilt University Virginia Tech University

Author : Istvan Montvay,Gernot Münster
Publisher : Cambridge University Press
Page : 512 pages
File Size : 45,6 Mb
Release : 1994
Category : Mathematics
ISBN : 0521599172

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Quantum Fields on a Lattice by Istvan Montvay,Gernot Münster Pdf

Presents a comprehensive and coherent account of the theory of quantum fields on a lattice.

Author : Michio Kaku
Publisher : Unknown
Page : 812 pages
File Size : 44,6 Mb
Release : 1993
Category : Science
ISBN : UOM:39015059099138

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Quantum Field Theory by Michio Kaku Pdf

The rise of quantum electrodynamics (QED) made possible a number of excellent textbooks on quantum field theory in the 1960s. However, the rise of quantum chromodynamics (QCD) and the Standard Model has made it urgent to have a fully modern textbook for the 1990s and beyond. Building on the foundation of QED, Quantum Field Theory: A Modern Introduction presents a clear and comprehensive discussion of the gauge revolution and the theoretical and experimental evidence which makes the Standard Model the leading theory of subatomic phenomena. The book is divided into three parts: Part I, Fields and Renormalization, lays a solid foundation by presenting canonical quantization, Feynman rules and scattering matrices, and renormalization theory. Part II, Gauge Theory and the Standard Model, focuses on the Standard Model and discusses path integrals, gauge theory, spontaneous symmetry breaking, the renormalization group, and BPHZ quantization. Part III, Non-perturbative Methods and Unification, discusses more advanced methods which now form an essential part of field theory, such as critical phenomena, lattice gauge theory, instantons, supersymmetry, quantum gravity, supergravity, and superstrings.

Author : Jan Smit
Publisher : Cambridge University Press
Page : 285 pages
File Size : 43,6 Mb
Release : 2023-07-31
Category : Science
ISBN : 9781009402743

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Introduction to Quantum Fields on a Lattice by Jan Smit Pdf

Author : Hagen Kleinert
Publisher : World Scientific
Page : 1628 pages
File Size : 46,7 Mb
Release : 2016-05-30
Category : Science
ISBN : 9789814740920

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Particles and Quantum Fields by Hagen Kleinert Pdf

This is an introductory book on elementary particles and their interactions. It starts out with many-body Schrödinger theory and second quantization and leads, via its generalization, to relativistic fields of various spins and to gravity. The text begins with the best known quantum field theory so far, the quantum electrodynamics of photon and electrons (QED). It continues by developing the theory of strong interactions between the elementary constituents of matter (quarks). This is possible due to the property called asymptotic freedom. On the way one has to tackle the problem of removing various infinities by renormalization. The divergent sums of infinitely many diagrams are performed with the renormalization group or by variational perturbation theory (VPT). The latter is an outcome of the Feynman-Kleinert variational approach to path integrals discussed in two earlier books of the author, one representing a comprehensive treatise on path integrals, the other dealing with critial phenomena. Unlike ordinary perturbation theory, VPT produces uniformly convergent series which are valid from weak to strong couplings, where they describe critical phenomena. The present book develops the theory of effective actions which allow to treat quantum phenomena with classical formalism. For example, it derives the observed anomalous power laws of strongly interacting theories from an extremum of the action. Their fluctuations are not based on Gaussian distributions, as in the perturbative treatment of quantum field theories, or in asymptotically-free theories, but on deviations from the average which are much larger and which obey power-like distributions. Exactly solvable models are discussed and their physical properties are compared with those derived from general methods. In the last chapter we discuss the problem of quantizing the classical theory of gravity. Contents: FundamentalsField Formulation of Many-Body Quantum PhysicsInteracting Nonrelativistic ParticlesFree Relativistic Particles and FieldsClassical RadiationRelativistic Particles and Fields in External Electromagnetic PotentialQuantization of Relativistic Free FieldsContinuous Symmetries and Conservation Laws. Noether's TheoremScattering and Decay of ParticlesQuantum Field Theoretic Perturbation TheoryExtracting Finite Results from Perturbation Series. Regularization, RenormalizationQuantum ElectrodynamicsFormal Properties of Perturbation TheoryFunctional-Integral Representation of Quantum Field TheorySystematic Graphical Construction of Feynman DiagramsSpontaneous Symmetry BreakdownScalar Quantum ElectrodynamicsExactly Solvable O(N)-Symmetric ϕ4-Theory for Large NNonlinear σ-ModelThe Renormalization GroupCritical Properties of Nonlinear σ-ModelFunctional-Integral Calculation of Effective Action. Loop ExpansionExactly Solvable O(N)-Symmetric Four-Fermion Theory in 2+ε Dimensions Internal Symmetries of Strong InteractionsSymmetries Linking Internal and Spacetime PropertiesHadronization of Quark TheoriesWeak InteractionsNonabelian Gauge Theory of Strong InteractionsCosmology with General Curvature-Dependent LagrangianEinstein Gravity from Fluctuating Conformal GravityPurely Geometric Part of Dark Matter Readership: Students and researchers in theoretical physics.

Author : N. D. Birrell,P. C. W. Davies
Publisher : Cambridge University Press
Page : 362 pages
File Size : 45,8 Mb
Release : 1984-02-23
Category : Science
ISBN : 9781107392816

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Quantum Fields in Curved Space by N. D. Birrell,P. C. W. Davies Pdf

This book presents a comprehensive review of the subject of gravitational effects in quantum field theory. Although the treatment is general, special emphasis is given to the Hawking black hole evaporation effect, and to particle creation processes in the early universe. The last decade has witnessed a phenomenal growth in this subject. This is the first attempt to collect and unify the vast literature that has contributed to this development. All the major technical results are presented, and the theory is developed carefully from first principles. Here is everything that students or researchers will need to embark upon calculations involving quantum effects of gravity at the so-called one-loop approximation level.

Author : Laurent Baulieu,John Iliopoulos,Roland Seneor,Roland Sénéor
Publisher : Oxford University Press
Page : 951 pages
File Size : 46,9 Mb
Release : 2017
Category : Science
ISBN : 9780198788393

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From Classical to Quantum Fields by Laurent Baulieu,John Iliopoulos,Roland Seneor,Roland Sénéor Pdf

Quantum Field Theory has become the universal language of most modern theoretical physics. This introductory textbook shows how this beautiful theory offers the correct mathematical framework to describe and understand the fundamental interactions of elementary particles. The book begins with a brief reminder of basic classical field theories, electrodynamics and general relativity, as well as their symmetry properties, and proceeds with the principles of quantisation following Feynman's path integral approach. Special care is used at every step to illustrate the correct mathematical formulation of the underlying assumptions. Gauge theories and the problems encountered in their quantisation are discussed in detail. The last chapters contain a full description of the Standard Model of particle physics and the attempts to go beyond it, such as grand unified theories and supersymmetry. Written for advanced undergraduate and beginning graduate students in physics and mathematics, the book could also serve as a reference for active researchers in the field.

Author : Charles Nash
Publisher : Courier Corporation
Page : 240 pages
File Size : 45,9 Mb
Release : 2010-06-17
Category : Science
ISBN : 9780486477527

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Relativistic Quantum Fields by Charles Nash Pdf

"This graduate-level text contains statistical and quantitative techniques for performing calculations in quantum field theory. Topics include renormalization, functional differentiation and integration, and the Schwinger-Dyson equations; dimensional regularization; the gauge and infrared properties of quantum electrodynamics; and asymptotic behavior and renormalization group methods. Reference features include an appendix, bibliography, and index. 1978 edition"--

Author : Michael Stone
Publisher : Springer Science & Business Media
Page : 285 pages
File Size : 42,7 Mb
Release : 2012-12-06
Category : Science
ISBN : 9781461205074

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The Physics of Quantum Fields by Michael Stone Pdf

A gentle introduction to the physics of quantized fields and many-body physics. Based on courses taught at the University of Illinois, it concentrates on the basic conceptual issues that many students find difficult, and emphasizes the physical and visualizable aspects of the subject. While the text is intended for students with a wide range of interests, many of the examples are drawn from condensed matter physics because of the tangible character of such systems. The first part of the book uses the Hamiltonian operator language of traditional quantum mechanics to treat simple field theories and related topics, while the Feynman path integral is introduced in the second half where it is seen as indispensable for understanding the connection between renormalization and critical as well as non-perturbative phenomena.

Author : Michael Kachelriess
Publisher : Oxford University Press
Page : 546 pages
File Size : 47,8 Mb
Release : 2018
Category : Science
ISBN : 9780198802877

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Quantum Fields by Michael Kachelriess Pdf

Coherent approach leading to a more comprehensive understanding of quantum field theory and cosmology. Includes discussion of a variety of applications, has numerous worked examples and problems, and is self-contained and suitable for self study.--

Author : Pierre Deligne,Pavel Etingof,Daniel S. Freed,Lisa C. Jeffrey,David Kazhdan,John W. Morgan,David R. Morrison,Edward Witten
Publisher : American Mathematical Society
Page : 801 pages
File Size : 51,5 Mb
Release : 1999-10-25
Category : Mathematics
ISBN : 9780821820131

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Quantum Fields and Strings: A Course for Mathematicians by Pierre Deligne,Pavel Etingof,Daniel S. Freed,Lisa C. Jeffrey,David Kazhdan,John W. Morgan,David R. Morrison,Edward Witten Pdf

A run-away bestseller from the moment it hit the market in late 1999. This impressive, thick softcover offers mathematicians and mathematical physicists the opportunity to learn about the beautiful and difficult subjects of quantum field theory and string theory. Cover features an intriguing cartoon that will bring a smile to its intended audience.

Author : Andrei A Bytsenko,Guido Cognola,Emilio Elizalde,Valter Moretti,Sergio Zerbini
Publisher : World Scientific
Page : 368 pages
File Size : 51,9 Mb
Release : 2003-10-14
Category : Science
ISBN : 9789814486033

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Analytic Aspects Of Quantum Fields by Andrei A Bytsenko,Guido Cognola,Emilio Elizalde,Valter Moretti,Sergio Zerbini Pdf

One of the aims of this book is to explain in a basic manner the seemingly difficult issues of mathematical structure using some specific examples as a guide. In each of the cases considered, a comprehensible physical problem is approached, to which the corresponding mathematical scheme is applied, its usefulness being duly demonstrated. The authors try to fill the gap that always exists between the physics of quantum field theories and the mathematical methods best suited for its formulation, which are increasingly demanding on the mathematical ability of the physicist.

Author : John Donoghue,Lorenzo Sorbo
Publisher : Princeton University Press
Page : 160 pages
File Size : 45,8 Mb
Release : 2022-03-08
Category : Science
ISBN : 9780691223483

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A Prelude to Quantum Field Theory by John Donoghue,Lorenzo Sorbo Pdf

"A Prelude to Quantum Field Theory offers a short introduction to quantum field theory (QFT), a powerful framework for understanding particle behavior that is an essential tool across many subfields of physics. A subject that is typically taught at the graduate level in most physics departments, quantum field theory is a unification of standard quantum theories and special relativity, which depicts all particles as "excitations" that arise in underlying fields. It extends quantum mechanics, the modern theory of one or few particles, in a way that is useful for the analysis of many-particle systems in the real world. As it requires a different style of thinking from quantum mechanics, which is typically the undergraduate physics student's first encounter with the quantum world, many beginners struggle with the transition to quantum field theory, especially when working with traditional textbooks. Existing books on the subject often tend to be large, sophisticated, and complete; and an overwhelming wealth of information and technical detail makes it difficult for the novice to discern what is most important. This book is a concise, friendly entrée for QFT-beginners, guiding the reader from the style of quantum mechanical thinking to that of QFT, and distilling the key ideas without a welter of unnecessary detail. In contrast with standard texts, which are predominantly particle physics-centric, this book is designed to be "subfield-neutral" - usable by students of any background and interest, and easily adaptable in a course setting according to instructors' preferences. The authors' conviction is that QFT is a core element of physics that should be understood by all PhD physicists-but that developing an appreciation for it does not require digesting a large, encyclopedic volume"--