Field Theory Disorder And Simulations

Author : Giorgio Parisi
Publisher : World Scientific
Page : 518 pages
File Size : 48,5 Mb
Release : 1992
Category : Science
ISBN : 9810213565

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Field Theory, Disorder and Simulations by Giorgio Parisi Pdf

This volume is a collection of lectures and selected papers by Giorgio Parisi on the subjects of Field Theory (perturbative expansions, nonperturbative phenomena and phase transitions), Disordered Systems (mainly spin glasses) and Computer Simulations (lattice gauge theories).The basic problems discussed in the Field Theory section concern the interplay between perturbation theory and nonperturbative phenomena which are present when one deals with infrared or ultraviolet divergences or with nonconvergent perturbative expansions. The section on Disordered Systems contains a complete discussion about the replica method and its probabilistic interpretation, and also includes a short paper on multifractals. In the Simulations section, there is a series of lectures devoted to the study of quantum chromodynamics and a review paper on simulations in complex systems.The works of Giorgio Parisi have repeatedly displayed a remarkable depth of originality and innovation, and have paved the way for new research in many areas. This personal selection of his lectures and papers, complete with an original introduction by him, undoubtedly serves as a vital reference book for physicists and mathematicians working in these fields.

Author : Giarczynski
Publisher : CRC Press
Page : 788 pages
File Size : 48,9 Mb
Release : 1987-06-22
Category : Mathematics
ISBN : 3718601214

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Gauge Field Theories Theoretical Studies and Computer Simulations by Giarczynski Pdf

Author : Jörg C. Lemm
Publisher : JHU Press
Page : 432 pages
File Size : 41,6 Mb
Release : 2003-07-08
Category : Science
ISBN : 9780801877971

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Bayesian Field Theory by Jörg C. Lemm Pdf

Ask a traditional mathematician the likely outcome of a coin-toss, and he will reply that no evidence exists on which to base such a prediction. Ask a Bayesian, and he will examine the coin, conclude that it was probably not tampered with, and predict five hundred heads in a thousand tosses; a subsequent experiment would then be used to refine this prediction. The Bayesian approach, in other words, permits the use of prior knowledge when testing a hypothesis. Long the province of mathematicians and statisticians, Bayesian methods are applied in this ground-breaking book to problems in cutting-edge physics. Joerg Lemm offers practical examples of Bayesian analysis for the physicist working in such areas as neural networks, artificial intelligence, and inverse problems in quantum theory. The book also includes nonparametric density estimation problems, including, as special cases, nonparametric regression and pattern recognition. Thought-provoking and sure to be controversial, Bayesian Field Theory will be of interest to physicists as well as to other specialists in the rapidly growing number of fields that make use of Bayesian methods.

Author : Yurij Holovatch
Publisher : World Scientific
Page : 294 pages
File Size : 51,7 Mb
Release : 2020-06-22
Category : Science
ISBN : 9789811216237

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Order, Disorder And Criticality: Advanced Problems Of Phase Transition Theory - Volume 6 by Yurij Holovatch Pdf

This book is the sixth volume of reviews on advanced problems of phase transitions and critical phenomena, with the first five volumes appearing in 2004, 2007, 2012, 2015, and 2018. It aims to provide an overview of those aspects of criticality and related topics that have attracted much attention due to the recent contributions. The six chapters discuss criticality of complex systems, where the new, emergent properties appear via collective behaviour of simple elements. Since all complex systems involve cooperative behaviour between many interconnected components, the field of phase transitions and critical phenomena provides a very natural conceptual and methodological framework for their study.As for the previous volumes, this book is based on the review lectures that were given in Lviv (Ukraine) at the 'Ising lectures' — a traditional annual workshop on phase transitions and critical phenomena which aims to bring together scientists working in the field of phase transitions with university students and those who are interested in the topic.The level of presentation makes the book readable both for professionals and the students in the field. On a larger scale, the book may contribute to promoting and deepening studies of phase transitions and critical phenomena.

Author : Mikhail A. Shifman
Publisher : World Scientific
Page : 422 pages
File Size : 44,9 Mb
Release : 1999
Category : Field theory
ISBN : 9810239505

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ITEP Lectures on Particle Physics and Field Theory by Mikhail A. Shifman Pdf

Author : Mikhail A. Shifman
Publisher : World Scientific
Page : 919 pages
File Size : 48,5 Mb
Release : 1999
Category : Science
ISBN : 9789810226404

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ITEP Lectures in Particle Physics and Field Theory by Mikhail A. Shifman Pdf

For almost two decades Prof. Shifman, a clear and pedagogical expositor, has been giving review lectures on frontier topics in theoretical high energy physics. This two-volume book is a collection of some of the best of those lectures. The lectures written in the 1980's and early 1990's have been revised and updated specifically for this publication. The lectures in this book are intended for beginners - graduate students and young researchers - who are about to delve into the intricacies of the theory. They were used by the author in his course ';Advanced Modern Field Theory and Its Applications';, given in the academic year 1994/95 at the University of Minnesota.A wide range of key topics is covered. In Volume 1, the first two chapters are devoted to quantum chromodynamics as the theory of hadrons. The author gives an in-depth discussion of a variety ofpowerful methods based on Wilson's operator product expansion. Chapter 3 (written together with V Novikov, A Vainshtein, and V Zakharov) is the most systematic and pedagogical presentation of instantons in the gauge theories one can find in the literature. Chapter 4 introduces supersymmetry. Chapter 5, concluding this volume, reviews the fascinating dynamics of supersymmetric gauge theories in the strong coupling regime. Chapter 6, which opens Volume 2, is a culmination of the supersymmetric theme. It gives a state-of-the-art description of the breakthrough developments in supersymmetric gauge theories. It has been written specifically for this book by A Vainshtein and the author. Chapter 7 is designed as a primer of two-dimensional conformal field theory, which constitutes the basis of modern string theory. Chapter 8, the last, presents remarkable new findings in quantum mechanics. Every chapter contains exercises and a list of recommended literature.Prof. Shifman has been an active participant and significant contributor in the development of the ideas presented in this book. This accounts for the historical remarks and digressions interspersed in the book, enhancing its pedagogical role. The book will serve as a comprehensive reference and textbook for all graduate students and researchers interested in modern particle physics. It will also be a useful guide for lecturers.

Author : H. V. Klapdor-Kleingrothaus
Publisher : CRC Press
Page : 734 pages
File Size : 51,6 Mb
Release : 2003-11-01
Category : Science
ISBN : 9781482289589

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Beyond the Desert 2002 by H. V. Klapdor-Kleingrothaus Pdf

Containing the Proceedings of the Third International Conference on Physics Beyond the Standard Model, this book reports the latest experimental and theoretical results and ideas in this exciting field, at the interface between particle physics, astrophysics, and nuclear physics. Taken as a whole, this book presents an overview of the current statu

Author : S. Jain
Publisher : World Scientific
Page : 196 pages
File Size : 49,6 Mb
Release : 1992-04-01
Category : Science
ISBN : 9810236891

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Monte Carlo Simulations of Disordered Systems by S. Jain Pdf

This book covers the techniques of computer simulations of disordered systems. It describes how one performs Monte Carlo simulations in condensed matter physics and deals with spin-glasses, percolating networks and the random field Ising model. Other methods mentioned are molecular dynamics and Brownian dynamics. Use of flow-diagrams enables the reader to grasp both the problem and its solution more readily. The book deals with highly complicated problems at a relatively simple level and will be most useful for advanced undergraduate and other courses in computational modelling.

Author : Anonim
Publisher : Unknown
Page : 570 pages
File Size : 44,9 Mb
Release : 1993
Category : Particles (Nuclear physics)
ISBN : PSU:000052636370

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High Energy Physics Index by Anonim Pdf

Author : Heinz J Rothe
Publisher : World Scientific Publishing Company
Page : 528 pages
File Size : 41,8 Mb
Release : 1997-06-09
Category : Electronic
ISBN : 9789813105041

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Lattice Gauge Theories by Heinz J Rothe Pdf

This book introduces the reader to an area of elementary particle physics which has been the subject of intensive research in the past two decades. It provides graduate students with the basic theoretical background on quantum gauge field theories formulated on a space-time lattice, and with the computational tools for carrying out research in this field. The book is a substantially extended version of the first edition which appeared in 1992. Much effort has been invested to present the material in a transparent way, and in exemplifying subtle points in simple models. The material covered should enable the reader to follow the vast literature on the subject without too much difficulties. Hopefully the book will motivate young physicists to carry out research in this area of elementary particle physics. Request Inspection Copy

Author : T Muta
Publisher : World Scientific Publishing Company
Page : 424 pages
File Size : 53,9 Mb
Release : 1998-06-06
Category : Science
ISBN : 9789813105003

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Foundations of Quantum Chromodynamics by T Muta Pdf

This volume develops the techniques of perturbative QCD in great pedagogical detail starting with field theory. Aside from extensive treatments of the renormalization group technique, the operator product expansion formalism and their applications to short-distance reactions, this book provides a comprehensive introduction to gauge theories. Examples and exercises are provided to amplify the discussions on important topics. This is an ideal textbook on the subject of quantum chromodynamics and is essential for researchers and graduate students in high energy physics, nuclear physics and mathematical physics.

Author : Chris J Isham
Publisher : World Scientific Publishing Company
Page : 304 pages
File Size : 41,7 Mb
Release : 1999-03-19
Category : Science
ISBN : 9789813102965

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Modern Differential Geometry for Physicists by Chris J Isham Pdf

This edition of the invaluable text Modern Differential Geometry for Physicists contains an additional chapter that introduces some of the basic ideas of general topology needed in differential geometry. A number of small corrections and additions have also been made. These lecture notes are the content of an introductory course on modern, coordinate-free differential geometry which is taken by first-year theoretical physics PhD students, or by students attending the one-year MSc course “Quantum Fields and Fundamental Forces” at Imperial College. The book is concerned entirely with mathematics proper, although the emphasis and detailed topics have been chosen bearing in mind the way in which differential geometry is applied these days to modern theoretical physics. This includes not only the traditional area of general relativity but also the theory of Yang-Mills fields, nonlinear sigma models and other types of nonlinear field systems that feature in modern quantum field theory. The volume is divided into four parts: (i) introduction to general topology; (ii) introductory coordinate-free differential geometry; (iii) geometrical aspects of the theory of Lie groups and Lie group actions on manifolds; (iv) introduction to the theory of fibre bundles. In the introduction to differential geometry the author lays considerable stress on the basic ideas of “tangent space structure”, which he develops from several different points of view — some geometrical, others more algebraic. This is done with awareness of the difficulty which physics graduate students often experience when being exposed for the first time to the rather abstract ideas of differential geometry.

Author : Slava Rychkov
Publisher : Springer Nature
Page : 71 pages
File Size : 46,8 Mb
Release : 2023-10-09
Category : Science
ISBN : 9783031420009

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Lectures on the Random Field Ising Model by Slava Rychkov Pdf

This book is about the Random Field Ising Model (RFIM) – a paradigmatic spin model featuring a frozen disordering field. The focus is on the second-order phase transition between the paramagnetic and ferromagnetic phases, and the associated critical exponents. The book starts by summarizing the current knowledge about the RFIM from experiments, numerical simulations and rigorous mathematical results. It then reviews the classic theoretical works from the 1970’s which suggested a property of dimensional reduction – that the RFIM critical exponents should be the same as for the ordinary, non-disordered, Ising model of lower dimensionality, and related this an emergent Parisi-Sourlas supersymmetry. As is now known, these remarkable properties only hold when the spatial dimensionality of the model is larger than a critical dimension. The book presents a method to estimate the critical dimension, using standard tools such as the replica trick and perturbative renormalization group, whose result is in agreement with the numerical simulations. Some more elementary steps in the derivations are left as exercises for the readers. This book is of interest to researchers, PhD students and advanced master students specializing in statistical field theory.

Author : Markus Loecher
Publisher : World Scientific
Page : 253 pages
File Size : 49,9 Mb
Release : 2003
Category : Technology & Engineering
ISBN : 9789810246761

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Noise Sustained Patterns by Markus Loecher Pdf

This book investigates the impact of noise upon the emergence and sustenance of patterns. ?Patterns? loosely refers to coherent spatial structures, including fronts, as well as temporal patterns. The crucial role of nonlinearities is highlighted and expanded upon in the context of dynamical system frameworks. The author's familiarity with chaos theory, statistical physics and nonlinear science is reflected in the highly interdisciplinary character of the text. Model equations and experiments taken from fluid dynamics, semiconductor devices, biophysics and statistical mechanics complement theoretical concepts.It should be of great value to researchers and graduate students who desire a quick introduction to the subject. Excursions into emerging fields such as traffic flow simulations and game theory serve to broaden the scope and to encourage the exploration of sundry topics.

Author : Hall Graham S
Publisher : World Scientific
Page : 440 pages
File Size : 49,5 Mb
Release : 2004-04-27
Category : Science
ISBN : 9789814505314

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Symmetries And Curvature Structure In General Relativity by Hall Graham S Pdf

This is a text on classical general relativity from a geometrical viewpoint. Introductory chapters are provided on algebra, topology and manifold theory, together with a chapter on the basic ideas of space-time manifolds and Einstein's theory. There is a detailed account of algebraic structures and tensor classification in general relativity and also of the relationships between the metric, connection and curvature structures on space-times. The latter includes chapters on holonomy and sectional curvature. An extensive study is presented of symmetries in general relativity, including isometries, homotheties, conformal symmetries and affine, projective and curvature collineations. Several general properties of such symmetries are studied and a preparatory section on transformation groups and on the properties of Lie algebras of vector fields on manifolds is provided.