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Author: Valya Mitrjushkin
Publisher: Springer Science & Business Media
ISBN: 940114124X
Category : Science
Languages : en
Pages : 377
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Book Description
Among the key problems in modern field theory are the formulation of chiral group theories on the lattice and the quantitative understanding of the quark confinement mechanism. The two topics are closely related by the fact that the chiral nature of the fermions as well as the confinement force are largely topological in origin. Recent advances in this field are here reviewed by some of the world's experts.
Author: Valya Mitrjushkin
Publisher: Springer Science & Business Media
ISBN: 940114124X
Category : Science
Languages : en
Pages : 377
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Book Description
Among the key problems in modern field theory are the formulation of chiral group theories on the lattice and the quantitative understanding of the quark confinement mechanism. The two topics are closely related by the fact that the chiral nature of the fermions as well as the confinement force are largely topological in origin. Recent advances in this field are here reviewed by some of the world's experts.
Author: Andreas Wipf
Publisher: Springer Nature
ISBN: 3030832635
Category : Science
Languages : en
Pages : 568
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Book Description
This new expanded second edition has been totally revised and corrected. The reader finds two complete new chapters. One covers the exact solution of the finite temperature Schwinger model with periodic boundary conditions. This simple model supports instanton solutions – similarly as QCD – and allows for a detailed discussion of topological sectors in gauge theories, the anomaly-induced breaking of chiral symmetry and the intriguing role of fermionic zero modes. The other new chapter is devoted to interacting fermions at finite fermion density and finite temperature. Such low-dimensional models are used to describe long-energy properties of Dirac-type materials in condensed matter physics. The large-N solutions of the Gross-Neveu, Nambu-Jona-Lasinio and Thirring models are presented in great detail, where N denotes the number of fermion flavors. Towards the end of the book corrections to the large-N solution and simulation results of a finite number of fermion flavors are presented. Further problems are added at the end of each chapter in order to guide the reader to a deeper understanding of the presented topics. This book is meant for advanced students and young researchers who want to acquire the necessary tools and experience to produce research results in the statistical approach to Quantum Field Theory.
Author: Artan Boriçi
Publisher: Springer Science & Business Media
ISBN: 3540285040
Category : Mathematics
Languages : en
Pages : 206
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Book Description
This book reports on progress in numerical methods for Lattice QCD with chiral fermions. It contains a set of pedagogical introductory articles written by experts from both the Applied Mathematics and Lattice Field Theory communities, together with detailed accounts of leading-edge algorithms for the simulation of overlap chiral fermions. Topics covered include: QCD simulations in the chiral regime; Evaluation and approximation of matrix functions; Krylov subspace methods for the iterative solution of linear systems; Eigenvalue solvers. These are complemented by a set of articles on closely related numerical and technical problems in Lattice field Theory.
Author: Xiang-Qian Luo
Publisher: World Scientific
ISBN: 9812811370
Category : Science
Languages : en
Pages : 320
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Book Description
Lattice field theory is the most reliable tool for investigating non-perturbative phenomena in particle physics. It has also become a cross-discipline, overlapping with other physical sciences and computer science. This book covers new developments in the area of algorithms, statistical physics, parallel computers and quantum computation, as well as recent advances concerning the standard model and beyond, the QCD vacuum, the glueball, hadron and quark masses, finite temperature and density, chiral fermions, SUSY, and heavy quark effective theory.
Author: Eric B Gregory
Publisher: World Scientific
ISBN: 9814491233
Category : Science
Languages : en
Pages : 320
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Book Description
Lattice field theory is the most reliable tool for investigating non-perturbative phenomena in particle physics. It has also become a cross-discipline, overlapping with other physical sciences and computer science. This book covers new developments in the area of algorithms, statistical physics, parallel computers and quantum computation, as well as recent advances concerning the standard model and beyond, the QCD vacuum, the glueball, hadron and quark masses, finite temperature and density, chiral fermions, SUSY, and heavy quark effective theory.
Author: Jeff Paul Greensite
Publisher: Springer Science & Business Media
ISBN: 9781402008733
Category : Science
Languages : en
Pages : 350
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Book Description
The problem of quark confinement is one of the classic unsolved problems of particle physics and is fundamental to our understanding of the physics of the strong interaction and the behaviour of non-Abelian gauge theories in general. The confinement problem is also are area in which concepts from topology and techniques of computational physics both find important applications. This volume contains a snapshot of current research in this field as of January 2002. Particular emphasis is placed on the role of topological field configurations such as centre vortices and monopoles in proposed confinement mechanisms. Other topics covered include colour superconductivity, instantons and chiral symmetry breaking, matrix models and the construction of chiral gauge theories. Readership: Research scientists and graduate students of high energy physics and nuclear physics.
Author: Gerhard Grensing
Publisher: World Scientific
ISBN: 9811237093
Category : Science
Languages : en
Pages : 1656
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Book Description
The book is devoted to the subject of quantum field theory. It is divided into two volumes. The first volume can serve as a textbook on main techniques and results of quantum field theory, while the second treats more recent developments, in particular the subject of quantum groups and noncommutative geometry, and their interrelation.The second edition is extended by additional material, mostly concerning the impact of noncommutative geometry on theories beyond the standard model of particle physics, especially the possible role of torsion in the context of the dark matter problem. Furthermore, the text includes a discussion of the Randall-Sundrum model and the Seiberg-Witten equations.
Author: Frithjof Karsch
Publisher: World Scientific
ISBN: 9814555363
Category :
Languages : en
Pages : 262
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Book Description
Novel Monte Carlo Algorithms for Fermionic Systems are badly needed in high energy and solid state physics. At this workshop the newest developments in this direction were presented, in particular those concerning multi-grid techniques, cluster algorithms and massively parallel implementations.
Author: Jean Potvin
Publisher: World Scientific
ISBN: 981455099X
Category :
Languages : en
Pages : 274
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Book Description
The proceedings contain the invited papers delivered at the 2nd IMACS International Conference on Computational Physics, held in St. Louis MO, USA, on October 6 - 9, 1993. The meeting was aimed at bringing together computational scientists and engineers of different disciplines for a fruitful exchange of information on methods, software and hardware. The topics covered include fluid mechanics, aerodynamics, material physics, condensed matter physics, neural networks, nonlinear dynamics, particle physics and others.
Author:
Publisher:
ISBN:
Category : Nuclear energy
Languages : en
Pages : 684
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Book Description
