Download or read book Critical Properties of Greek Letter Phi 4 theories written by Hagen Kleinert and published by World Scientific. This book was released on 2001 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains in detail how to perform perturbation expansions in quantum field theory to high orders, and how to extract the critical properties of the theory from the resulting divergent power series. These properties are calculated for various second-order phase transitions of three-dimensional systems with high accuracy, in particular the critical exponents observable in experiments close to the phase transition.Beginning with an introduction to critical phenomena, this book develops the functional-integral description of quantum field theories, their perturbation expansions, and a method for finding recursively all Feynman diagrams to any order in the coupling strength. Algebraic computer programs are supplied on accompanying World Wide Web pages. The diagrams correspond to integrals in momentum space. They are evaluated in 4-î dimensions, where they possess pole terms in 1/î. The pole terms are collected into renormalization constants.The theory of the renormalization group is used to find the critical scaling laws. They contain critical exponents which are obtained from the renormalization constants in the form of power series. These are divergent, due to factorially growing expansion coefficients. The evaluation requires resummation procedures, which are performed in two ways: (1) using traditional methods based on Pad and Borel transformations, combined with analytic mappings; (2) using modern variational perturbation theory, where the results follow from a simple strong-coupling formula. As a crucial test of the accuracy of the methods, the critical exponent à governing the divergence of the specific heat of superfluid helium is shown to agree very well with the extremely precise experimental number found in the space shuttle orbiting the earth (whose data are displayed on the cover of the book).The phi4-theories investigated in this book contain any number N of fields in an O(N)-symmetric interaction, or in an interaction in which O(N)-symmetry is broken by a term of a cubic symmetry. The crossover behavior between the different symmetries is investigated. In addition, alternative ways of obtaining critical exponents of phi4-theories are sketched, such as variational perturbation expansions in three rather than 4-î dimensions, and improved ratio tests in high-temperature expansions of lattice models.
Download or read book Critical Properties Of Phi4 Theories written by Hagen Kleinert and published by World Scientific. This book was released on 2001-07-30 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains in detail how to perform perturbation expansions in quantum field theory to high orders, and how to extract the critical properties of the theory from the resulting divergent power series. These properties are calculated for various second-order phase transitions of three-dimensional systems with high accuracy, in particular the critical exponents observable in experiments close to the phase transition.Beginning with an introduction to critical phenomena, this book develops the functional-integral description of quantum field theories, their perturbation expansions, and a method for finding recursively all Feynman diagrams to any order in the coupling strength. Algebraic computer programs are supplied on accompanying World Wide Web pages. The diagrams correspond to integrals in momentum space. They are evaluated in 4-ε dimensions, where they possess pole terms in 1/ε. The pole terms are collected into renormalization constants.The theory of the renormalization group is used to find the critical scaling laws. They contain critical exponents which are obtained from the renormalization constants in the form of power series. These are divergent, due to factorially growing expansion coefficients. The evaluation requires resummation procedures, which are performed in two ways: (1) using traditional methods based on Padé and Borel transformations, combined with analytic mappings; (2) using modern variational perturbation theory, where the results follow from a simple strong-coupling formula. As a crucial test of the accuracy of the methods, the critical exponent α governing the divergence of the specific heat of superfluid helium is shown to agree very well with the extremely precise experimental number found in the space shuttle orbiting the earth (whose data are displayed on the cover of the book).The phi4-theories investigated in this book contain any number N of fields in an O(N)-symmetric interaction, or in an interaction in which O(N)-symmetry is broken by a term of a cubic symmetry. The crossover behavior between the different symmetries is investigated. In addition, alternative ways of obtaining critical exponents of phi4-theories are sketched, such as variational perturbation expansions in three rather than 4-ε dimensions, and improved ratio tests in high-temperature expansions of lattice models.
Download or read book String Theory and M Theory written by Katrin Becker and published by Cambridge University Press. This book was released on 2006-12-07 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt: String theory is one of the most exciting and challenging areas of modern theoretical physics. This book guides the reader from the basics of string theory to recent developments. It introduces the basics of perturbative string theory, world-sheet supersymmetry, space-time supersymmetry, conformal field theory and the heterotic string, before describing modern developments, including D-branes, string dualities and M-theory. It then covers string geometry and flux compactifications, applications to cosmology and particle physics, black holes in string theory and M-theory, and the microscopic origin of black-hole entropy. It concludes with Matrix theory, the AdS/CFT duality and its generalizations. This book is ideal for graduate students and researchers in modern string theory, and will make an excellent textbook for a one-year course on string theory. It contains over 120 exercises with solutions, and over 200 homework problems with solutions available on a password protected website for lecturers at www.cambridge.org/9780521860697.
Download or read book Critical Theory Today written by Lois Tyson and published by Routledge. This book was released on 2012-09-10 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: Critical Theory Today is the essential introduction to contemporary criticial theory. It provides clear, simple explanations and concrete examples of complex concepts, making a wide variety of commonly used critical theories accessible to novices without sacrificing any theoretical rigor or thoroughness. This new edition provides in-depth coverage of the most common approaches to literary analysis today: feminism, psychoanalysis, Marxism, reader-response theory, new criticism, structuralism and semiotics, deconstruction, new historicism, cultural criticism, lesbian/gay/queer theory, African American criticism, and postcolonial criticism. The chapters provide an extended explanation of each theory, using examples from everyday life, popular culture, and literary texts; a list of specific questions critics who use that theory ask about literary texts; an interpretation of F. Scott Fitzgerald's The Great Gatsby through the lens of each theory; a list of questions for further practice to guide readers in applying each theory to different literary works; and a bibliography of primary and secondary works for further reading.
Download or read book Quantities Units and Symbols in Physical Chemistry written by International Union of Pure and Applied Chemistry. Physical and Biophysical Chemistry Division and published by Royal Society of Chemistry. This book was released on 2007 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Prepared by the IUPAC Physical Chemistry Division this definitive manual, now in its third edition, is designed to improve the exchange of scientific information among the readers in different disciplines and across different nations. This book has been systematically brought up to date and new sections added to reflect the increasing volume of scientific literature and terminology and expressions being used. The Third Edition reflects the experience of the contributors with the previous editions and the comments and feedback have been integrated into this essential resource. This edition has been compiled in machine-readable form and will be available online.
Download or read book Principia Mathematica written by Alfred North Whitehead and published by . This book was released on 1910 with total page 688 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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Download or read book Classical Theory of Gauge Fields written by Valery Rubakov and published by Princeton University Press. This book was released on 2009-02-09 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a highly regarded lecture course at Moscow State University, this is a clear and systematic introduction to gauge field theory. It is unique in providing the means to master gauge field theory prior to the advanced study of quantum mechanics. Though gauge field theory is typically included in courses on quantum field theory, many of its ideas and results can be understood at the classical or semi-classical level. Accordingly, this book is organized so that its early chapters require no special knowledge of quantum mechanics. Aspects of gauge field theory relying on quantum mechanics are introduced only later and in a graduated fashion--making the text ideal for students studying gauge field theory and quantum mechanics simultaneously. The book begins with the basic concepts on which gauge field theory is built. It introduces gauge-invariant Lagrangians and describes the spectra of linear perturbations, including perturbations above nontrivial ground states. The second part focuses on the construction and interpretation of classical solutions that exist entirely due to the nonlinearity of field equations: solitons, bounces, instantons, and sphalerons. The third section considers some of the interesting effects that appear due to interactions of fermions with topological scalar and gauge fields. Mathematical digressions and numerous problems are included throughout. An appendix sketches the role of instantons as saddle points of Euclidean functional integral and related topics. Perfectly suited as an advanced undergraduate or beginning graduate text, this book is an excellent starting point for anyone seeking to understand gauge fields.
Download or read book Many Body Quantum Theory in Condensed Matter Physics written by Henrik Bruus and published by Oxford University Press. This book was released on 2004-09-02 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is an introduction to quantum field theory applied to condensed matter physics. The topics cover modern applications in electron systems and electronic properties of mesoscopic systems and nanosystems. The textbook is developed for a graduate or advanced undergraduate course with exercises which aim at giving students the ability to confront real problems.
Download or read book Schaum s Outline of Fluid Mechanics and Hydraulics 4th Edition written by Cheng Liu and published by McGraw Hill Professional. This book was released on 2013-11-08 with total page 1175 pages. Available in PDF, EPUB and Kindle. Book excerpt: Study faster, learn better, and get top grades! Here is the ideal review for your fluid mechanics and hydraulics course More than 40 million students have trusted Schaum’s Outlines for their expert knowledge and helpful solved problems. Written by a renowned expert in this field, Schaum's Outline of Fluid Mechanics and Hydraulics covers what you need to know for your course and, more important, your exams. Step-by-step, the author walks you through coming up with solutions to exercises in this topic. Features: 622 fully solved problems Links to online instruction videos Practical examples of proofs of theorems and derivations of formulas Chapters on fluid statics and the flow of compressible fluids Detailed explanations of free-body analysis, vector diagrams, the principles of work and energy and impulse-momentum, and Newton’s laws of motion Helpful material for the following courses: Introduction to Fluid Dynamics; Introduction to Hydraulics; Fluid Mechanics; Statics and Mechanics of Materials
Download or read book Webster s Collegiate Dictionary written by Noah Webster and published by . This book was released on 1896 with total page 1132 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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Download or read book The Literary Gazette and Journal of Belles Lettres Arts Sciences written by and published by . This book was released on 1823 with total page 844 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book International Encyclopedia of Chemical Science written by A.F. Clifford and published by Princeton, N.J. : Van Nostrand. This book was released on 1964 with total page 1358 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The British Quarterly Review written by Henry Allon and published by . This book was released on 1845 with total page 624 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book How Is Quantum Field Theory Possible written by Sunny Y Auyang and published by Oxford University Press. This book was released on 1995-07-27 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: How can we know the microscopic world without a measurement theory? What are the general conditions of the world that make possible such knowledge? What are the presuppositions of physical theories? This book includes an analysis of quantum field theory, and quantum mechanics and interacting systems are addressed in a unified framework.
Download or read book The London Literary Gazette and Journal of Belles Lettres Arts Sciences Etc written by and published by . This book was released on 1823 with total page 862 pages. Available in PDF, EPUB and Kindle. Book excerpt:
