Field Theory, Disorder and Simulations
Field Theory, Disorder and Simulations

Author: Giorgio Parisi

Publisher: World Scientific

Published: 1992

Total Pages: 518

ISBN-13: 9789810213565

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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.

Condensed Matter Field Theory
Condensed Matter Field Theory

Author: Alexander Altland

Publisher: Cambridge University Press

Published: 2010-03-11

Total Pages: 785

ISBN-13: 0521769752

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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.

Quantum Field Theory in Condensed Matter Physics
Quantum Field Theory in Condensed Matter Physics

Author: Alexei M. Tsvelik

Publisher: Cambridge University Press

Published: 2007-01-18

Total Pages: 361

ISBN-13: 1139440500

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This book is a course in modern quantum field theory as seen through the eyes of a theorist working in condensed matter physics. It contains a gentle introduction to the subject and therefore can be used even by graduate students. The introductory parts include a derivation of the path integral representation, Feynman diagrams and elements of the theory of metals including a discussion of Landau–Fermi liquid theory. In later chapters the discussion gradually turns to more advanced methods used in the theory of strongly correlated systems. The book contains a thorough exposition of such non-perturbative techniques as 1/N-expansion, bosonization (Abelian and non-Abelian), conformal field theory and theory of integrable systems. The book is intended for graduate students, postdoctoral associates and independent researchers working in condensed matter physics.

Computing In High Energy Physics: Chep '95 - Proceedings Of The International Conference
Computing In High Energy Physics: Chep '95 - Proceedings Of The International Conference

Author: Ronald Shellard

Publisher: World Scientific

Published: 1996-10-24

Total Pages: 1006

ISBN-13: 9813142235

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CHEP (Computing in High Energy Physics) is the largest international meeting of the communities of High Energy Physics, Computing Science and the Computing Industry. The sixth conference in this series was held in Rio de Janeiro, Brazil in September 1995. The focus of the conference was “Computing for the next Millennium”. High Energy Physics is at a point where major changes in the way data acquisition and computing problems are addressed will be called for in the high energy physics programs of the year 2000 and beyond. The conference covered a wide spectrum of topics including Data Access, Storage, and Analysis; Data Acquisition and Triggering; Worldwide Collaboration and Networking; Tools, Languages, and Software Development Environments; and special purpose processing systems.The papers presented both recent progress and radical approaches to computing problems as candidates for the basis of future computing in the field of high energy physics.

Lectures on the Random Field Ising Model
Lectures on the Random Field Ising Model

Author: Slava Rychkov

Publisher: Springer Nature

Published: 2023-10-09

Total Pages: 71

ISBN-13: 3031420004

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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.

Particles And Nuclei (Panic'96): Proceedings Of The 14th International Conference
Particles And Nuclei (Panic'96): Proceedings Of The 14th International Conference

Author: Carl Carlson

Publisher: World Scientific

Published: 1997-02-21

Total Pages: 787

ISBN-13: 981454664X

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This book is devoted to phenomena that are of interest to both particle and nuclear physicists. The topics include nucleon structure (including spin structure), electron, neutrino, and hadron scattering from nucleons and nuclei, strange matter, the standard model, theory of nucleons and nuclei from both the QCD and nucleon-meson viewpoints, new experimental techniques, and new facilities.

Lattice 91
Lattice 91

Author: M. Fukugita

Publisher: Elsevier

Published: 2016-06-03

Total Pages: 699

ISBN-13: 1483278050

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Lattice 91 covers the proceedings of the International Symposium on Lattice Field Theory held in Tsukuba, Japan on 5-9 November 1991. The book focuses on quantum chromodynamics, Higgs-fermion theories, QED, lattice quantum gravity and random surfaces, spin systems related to field theory, simulation algorithms, and dedicated computers. The selection first offers information on the QCD spectrum and phase diagram on the lattice and QCD at finite density, including phase structure of QCD, Monte-Carlo simulations with dynamical fermions, and quenched approximation. The book then tackles weak matrix elements, simulation of heavy quarks, and sphaleron induced baryon number non-conservation. The text reviews quantum gravity and random surfaces, recent analytic progress in finite size effects, and parallel QCD machines. Discussions focus on two-dimensional quantum gravity, signatures of resonance in finite volume, first order transitions, and determination of the running coupling. The publication also ponders on hadronic forces from the lattice, universality of the confinement string in multiple potentials, and confinement and saddle-point configurations. The selection is highly recommended for readers interested in the lattice field theory.

Fluctuating geometries in statistical mechanics and field theory
Fluctuating geometries in statistical mechanics and field theory

Author: François David

Publisher: Elsevier Publishing Company

Published: 1996

Total Pages: 1136

ISBN-13:

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Hardbound. This session of was organized with two principal purposes. Firstly to introduce a common language and culture to a mixed audience, composed of field theorists, string theorists, condensed matter physicists and statistical mechanicians. Secondly, to expose young researchers to the recent advances in various areas of theoretical physics, where the concepts of extended objects, geometry and fluctuations are currently playing an important role.Courses included an introduction to the problem of random paths in disordered media; theoretical and numerical approaches to quantized geometries, from random paths to surfaces/strings to four-dimensional gravity; physics of amphiphilic membranes and the models of random surfaces used to describe them; defects in various physical systems; recent developments on the formulation of two-dimensional gauge theories as string theories. Problems of condensed matter physics were surveyed and a seminar on the renor

Constitutions of Matter
Constitutions of Matter

Author: Martin H. Krieger

Publisher: University of Chicago Press

Published: 1998-04-28

Total Pages: 372

ISBN-13: 9780226453057

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Krieger's lucid discussions will help students of physics and applied mathematics appreciate the larger physical issues behind the mathematical details of modern physics. Historians and philosophers of science will gain deeper insights into how theoretical physicists do science, while technically advanced general readers will get a rare, behind-the-scenes glimpse into the world of modern physics.