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Hamiltonian Lattice Field Theory


Hamiltonian Lattice Field Theory
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Hamiltonian Lattice Field Theory


Hamiltonian Lattice Field Theory
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Author : Robert Zako
language : en
Publisher:
Release Date : 1991

Hamiltonian Lattice Field Theory written by Robert Zako and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.




The Phases Of Quantum Chromodynamics


The Phases Of Quantum Chromodynamics
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Author : John B. Kogut
language : en
Publisher: Cambridge University Press
Release Date : 2010-06-10

The Phases Of Quantum Chromodynamics written by John B. Kogut 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 2010-06-10 with Science categories.


This book discusses the physical phases of Quantum Chromodynamics (QCD) in ordinary environments, as well as in extreme environments with high temperatures and high baryon numbers. Under such extreme conditions, new phases are thought to exist: the quark-gluon plasma and color superconductivity. After introducing lattice gauge theory, John Kogut and Mikhail Stephanov emphasize the application of QCD to the study of matter in extreme environments through a host of methods. These include lattice gauge theory, lower dimensional model field theories and effective Lagrangians.



Lattice Quantum Field Theory Of The Dirac And Gauge Fields Selected Topics


Lattice Quantum Field Theory Of The Dirac And Gauge Fields Selected Topics
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Author : Belal Ehsan Baaquie
language : en
Publisher: World Scientific
Release Date : 2020-07-30

Lattice Quantum Field Theory Of The Dirac And Gauge Fields Selected Topics written by Belal Ehsan Baaquie and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-30 with Science categories.


Quantum Chromodynamics is the theory of strong interactions: a quantum field theory of colored gluons (Yang-Mills gauge fields) coupled to quarks (Dirac fermion fields). Lattice gauge theory is defined by discretizing spacetime into a four-dimensional lattice — and entails defining gauge fields and Dirac fermions on a lattice. The applications of lattice gauge theory are vast, from the study of high-energy theory and phenomenology to the numerical studies of quantum fields.Lattice Quantum Field Theory of the Dirac and Gauge Fields: Selected Topics examines the mathematical foundations of lattice gauge theory from first principles. It is indispensable for the study of Dirac and lattice gauge fields and lays the foundation for more advanced and specialized studies.



Hamiltonian Lattice Field Theory


Hamiltonian Lattice Field Theory
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Author :
language : en
Publisher:
Release Date : 1991

Hamiltonian Lattice Field Theory written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with categories.


I develop a variational method for systematic numerical computation of physical quantities -- bound state energies and scattering amplitudes -- in quantum field theory. An infinite-volume, continuum theory is approximated by a theory on a finite spatial lattice, which is amenable to numerical computation. I present an algorithm for computing approximate energy eigenvalues and eigenstates in the lattice theory and for bounding the resulting errors. I also show how to select basis states and choose variational parameters in order to minimize errors. The algorithm is based on the Rayleigh-Ritz principle and Kato's generalizations of Temple's formula. The algorithm could be adapted to systems such as atoms and molecules. I show how to compute Green's functions from energy eigenvalues and eigenstates in the lattice theory, and relate these to physical (renormalized) coupling constants, bound state energies and Green's functions. Thus one can compute approximate physical quantities in a lattice theory that approximates a quantum field theory with specified physical coupling constants. I discuss the errors in both approximations. In principle, the errors can be made arbitrarily small by increasing the size of the lattice, decreasing the lattice spacing and computing sufficiently long. Unfortunately, I do not understand the infinite-volume and continuum limits well enough to quantify errors due to the lattice approximation. Thus the method is currently incomplete. I apply the method to real scalar field theories using a Fock basis of free particle states. All needed quantities can be calculated efficiently with this basis. The generalization to more complicated theories is straightforward. I describe a computer implementation of the method and present numerical results for simple quantum mechanical systems.



Quantum Fields On A Lattice


Quantum Fields On A Lattice
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Author : Istvan Montvay
language : en
Publisher: Cambridge University Press
Release Date : 1994

Quantum Fields On A Lattice written by Istvan Montvay 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 1994 with Mathematics categories.


Presents a comprehensive and coherent account of the theory of quantum fields on a lattice.



Chaos And Gauge Field Theory


Chaos And Gauge Field Theory
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Author : T. S. Bir¢
language : en
Publisher: World Scientific
Release Date : 1994

Chaos And Gauge Field Theory written by T. S. Bir¢ and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Science categories.


This book introduces a rapidly growing new research area ? the study of dynamical properties of elementary fields. The methods used in this field range from algebraic topology to parallel computer programming. The main aim of this research is to understand the behavior of elementary particles and fields under extreme circumstances, first of all at high temperature and energy density generated in the largest accelerators of the world and supposed to be present in the early evolution of our Universe shortly after the Big Bang.In particular, chaos is rediscovered in a new appearance in these studies: in gauge theories the well-known divergence of initially adjacent phase space trajectories leads over into a quasi-thermal distribution of energy with a saturated average distance of different field configurations. This particular behavior is due to the compactness of the gauge group.Generally this book is divided into two main parts: the first part mainly deals with the ?classical? discovery of chaos in gauge field theory while the second part presents methods and research achievements in recent years. One chapter is devoted entirely to the presentation and discussion of computational problems. The major theme, returning again and again throughout the book, is of course the phenomenon with a thousand faces ? chaos itself.This book is intended to be a research book which introduces the reader to a new research field, presenting the basic new ideas in detail but just briefly touching on the problems of other related fields, like perturbative or lattice gauge theory, or dissipative chaos. The terminology of these related fields are, however, used.Exercises are also included in this book. They deepen the reader's understanding of special issues and at the same time offer more information on related problems. For the convenience of the fast reader, solutions are presented right after the problems.



Lattice Quantum Field Theory Of The Dirac And Gauge Fields


Lattice Quantum Field Theory Of The Dirac And Gauge Fields
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Author : B. E. Baaquie
language : en
Publisher:
Release Date : 2020

Lattice Quantum Field Theory Of The Dirac And Gauge Fields written by B. E. Baaquie and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Dirac equation categories.


"Quantum Chromodynamics is the theory of strong interactions: a quantum field theory of colored gluons (Yang-Mills gauge fields) coupled to quarks (Dirac fermion fields). Lattice gauge theory is defined by discretizing spacetime into a four-dimensional lattice -- and entails defining gauge fields and Dirac fermions on a lattice. The applications of lattice gauge theory are vast, from the study of high-energy theory and phenomenology to the numerical studies of quantum fields. "Lattice Quantum Field Theory of the Dirac and Gauge Fields: Selected Topics" examines the mathematical foundations of lattice gauge theory from first principles. It is indispensable for the study of Dirac and lattice gauge fields and lays the foundation for more advanced and specialized studies"--Publisher's website.



Introduction To Quantum Fields On A Lattice


Introduction To Quantum Fields On A Lattice
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Author : Jan Smit
language : en
Publisher: Cambridge University Press
Release Date : 2023-07-27

Introduction To Quantum Fields On A Lattice written by Jan Smit 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 2023-07-27 with Science categories.


Clear and pedagogical introduction to quantum fields on a lattice, for advanced undergraduates and graduates.



Condensed Matter Field Theory


Condensed Matter Field Theory
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Author : Alexander Altland
language : en
Publisher: Cambridge University Press
Release Date : 2010-03-11

Condensed Matter Field Theory written by Alexander Altland 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 2010-03-11 with Science categories.


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.



Statistical Mechanics And Field Theory Proceedings Of The Seventh Physics Summer School


Statistical Mechanics And Field Theory Proceedings Of The Seventh Physics Summer School
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Author : Vladimir V Bazhanov
language : en
Publisher: World Scientific
Release Date : 1995-12-21

Statistical Mechanics And Field Theory Proceedings Of The Seventh Physics Summer School written by Vladimir V Bazhanov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-12-21 with categories.


This proceedings volume aims to expose graduate students to the basic ideas of field theory and statistical mechanics and to give them an understanding and appreciation of current topical research.