Renormalization Group And Fixed Points
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Renormalization Group And Fixed Points
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Author : Timothy J Hollowood
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-28
Renormalization Group And Fixed Points written by Timothy J Hollowood and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-28 with Science categories.
This Brief presents an introduction to the theory of the renormalization group in the context of quantum field theories of relevance to particle physics. Emphasis is placed on gaining a physical understanding of the running of the couplings. The Wilsonian version of the renormalization group is related to conventional perturbative calculations with dimensional regularization and minimal subtraction. An introduction is given to some of the remarkable renormalization group properties of supersymmetric theories.
Scaling And Renormalization In Statistical Physics
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Author : John Cardy
language : en
Publisher: Cambridge University Press
Release Date : 1996-04-26
Scaling And Renormalization In Statistical Physics written by John Cardy and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-04-26 with Science categories.
This text provides a thoroughly modern graduate-level introduction to the theory of critical behaviour. It begins with a brief review of phase transitions in simple systems, then goes on to introduce the core ideas of the renormalisation group.
Renormalization Group Fixed Points Near The Origin
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Author :
language : en
Publisher:
Release Date : 1975
Renormalization Group Fixed Points Near The Origin written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with categories.
Field Theory The Renormalization Group And Critical Phenomena Graphs To Computers 3rd Edition
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Author : Daniel J Amit
language : en
Publisher: World Scientific Publishing Company
Release Date : 2005-06-21
Field Theory The Renormalization Group And Critical Phenomena Graphs To Computers 3rd Edition written by Daniel J Amit and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-06-21 with Science categories.
This volume links field theory methods and concepts from particle physics with those in critical phenomena and statistical mechanics, the development starting from the latter point of view. Rigor and lengthy proofs are trimmed by using the phenomenological framework of graphs, power counting, etc., and field theoretic methods with emphasis on renormalization group techniques. Non-perturbative methods and numerical simulations are introduced in this new edition. Abundant references to research literature complement this matter-of-fact approach. The book introduces quantum field theory to those already grounded in the concepts of statistical mechanics and advanced quantum theory, with sufficient exercises in each chapter for use as a textbook in a one-semester graduate course.The following new chapters are included:I. Real Space MethodsII. Finite Size ScalingIII. Monte Carlo Methods. Numerical Field Theory
Field Theory The Renormalization Group And Critical Phenomena 2nd Edition
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Author : Daniel J Amit
language : en
Publisher: World Scientific Publishing Company
Release Date : 1984-08-31
Field Theory The Renormalization Group And Critical Phenomena 2nd Edition written by Daniel J Amit and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-08-31 with Critical phenomena (Physics) categories.
This volume links field theory methods and concepts from particle physics with those in critical phenomena and statistical mechanics, the development starting from the latter point of view. Rigor and lengthy proofs are trimmed by using the phenomenological framework of graphs, power counting, etc., and field theoretic methods with emphasis on renormalization group techniques. The book introduces quantum field theory to those already grounded in the concepts of statistical mechanics and advanced quantum theory, with sufficient exercises in each chapter for use as a textbook in a one-semester graduate course.
Renormalization Group Theory
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Author : Ulrich Köbler
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-04-29
Renormalization Group Theory written by Ulrich Köbler and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-04-29 with Technology & Engineering categories.
Spin wave theory of magnetism and BCS theory of superconductivity are typical theories of the time before renormalization group (RG) theory. The two theories consider atomistic interactions only and ignore the energy degrees of freedom of the continuous (infinite) solid. Since the pioneering work of Kenneth G. Wilson (Nobel Prize of physics in 1982) we know that the continuous solid is characterized by a particular symmetry: invariance with respect to transformations of the length scale. Associated with this symmetry are particular field particles with characteristic excitation spectra. In diamagnetic solids these are the well known Debye bosons. This book reviews experimental work on solid state physics of the last five decades and shows in a phenomenological way that the dynamics of ordered magnets and conventional superconductors is controlled by the field particles of the infinite solid and not by magnons and Cooper pairs, respectively. In the case of ordered magnets the relevant field particles are called GSW bosons after Goldstone, Salam and Weinberg and in the case of superconductors the relevant field particles are called SC bosons. One can imagine these bosons as magnetic density waves or charge density waves, respectively. Crossover from atomistic exchange interactions to the excitations of the infinite solid occurs because the GSW bosons have generally lower excitation energies than the atomistic magnons. According to the principle of relevance the dynamics is governed by the excitations with the lowest energy. The non relevant atomistic interactions with higher energy are practically unimportant for the dynamics.
Renormalization Group 91 Proceedings Of The 2nd International Conference
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Author : Dmitri V Shirkov
language : en
Publisher: World Scientific
Release Date : 1992-04-30
Renormalization Group 91 Proceedings Of The 2nd International Conference written by Dmitri V Shirkov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-04-30 with categories.
The papers included here deal with the many faces of renormalization group formalism as it is used in different branches of theoretical physics. The subjects covered emphasize various applications to the theory of turbulence, chaos, quantum chaos in dynamical systems, spin systems and vector models. Also discussed are applications to related topics such as quantum field theory and chromodynamics, high temperature superconductivity and plasma physics.
Elements Of Phase Transitions And Critical Phenomena
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Author : Hidetoshi Nishimori
language : en
Publisher: Oxford University Press
Release Date : 2011
Elements Of Phase Transitions And Critical Phenomena written by Hidetoshi Nishimori and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Science categories.
Phase transitions and critical phenomena have consistently been among the principal subjects of active studies in statistical physics. The simple act of transforming one state of matter or phase into another, for instance by changing the temperature, has always captivated the curious mind. This book provides an introductory account on the theory of phase transitions and critical phenomena, a subject now recognized to be indispensable for students and researchers from many fields of physics and related disciplines. The first five chapters are very basic and quintessential, and cover standard topics such as mean-field theories, the renormalization group and scaling, universality, and statistical field theory methods. The remaining chapters develop more advanced concepts, including conformal field theory, the Kosterlitz-Thouless transition, the effects of randomness, percolation, exactly solvable models, series expansions, duality transformations, and numerical techniques. Moreover, a comprehensive series of appendices expand and clarify several issues not developed in the main text. The important role played by symmetry and topology in understanding the competition between phases and the resulting emergent collective behaviour, giving rise to rigidity and soft elementary excitations, is stressed throughout the book. Serious attempts have been directed toward a self-contained modular approach so that the reader does not have to refer to other sources for supplementary information. Accordingly, most of the concepts and calculations are described in detail, sometimes with additional/auxiliary descriptions given in appendices and exercises. The latter are presented as the topics develop with solutions found at the end of the book, thus giving the text a self-learning character.
An Invitation To Quantum Field Theory
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Author : Luis Alvarez-Gaumé
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-11-26
An Invitation To Quantum Field Theory written by Luis Alvarez-Gaumé and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-11-26 with Science categories.
This book provides an introduction to Quantum Field Theory (QFT) at an elementary level—with only special relativity, electromagnetism and quantum mechanics as prerequisites. For this fresh approach to teaching QFT, based on numerous lectures and courses given by the authors, a representative sample of topics has been selected containing some of the more innovative, challenging or subtle concepts. They are presented with a minimum of technical details, the discussion of the main ideas being more important than the presentation of the typically very technical mathematical details necessary to obtain the final results. Special attention is given to the realization of symmetries in particle physics: global and local symmetries, explicit, spontaneously broken, and anomalous continuous symmetries, as well as discrete symmetries. Beyond providing an overview of the standard model of the strong, weak and electromagnetic interactions and the current understanding of the origin of mass, the text enumerates the general features of renormalization theory as well as providing a cursory description of effective field theories and the problem of naturalness in physics. Among the more advanced topics the reader will find are an outline of the first principles derivation of the CPT theorem and the spin-statistics connection. As indicated by the title, the main aim of this text is to motivate the reader to study QFT by providing a self-contained and approachable introduction to the most exciting and challenging aspects of this successful theoretical framework.
Quantum Field Theory For Economics And Finance
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Author : B. E. Baaquie
language : en
Publisher: Cambridge University Press
Release Date : 2018-08-23
Quantum Field Theory For Economics And Finance written by B. E. Baaquie and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-23 with Business & Economics categories.
This book provides an introduction to how the mathematical tools from quantum field theory can be applied to economics and finance. Providing a range of quantum mathematical techniques for designing financial instruments, it demonstrates how a range of topics have quantum mechanical formulations, from asset pricing to interest rates.