Author | : Istvan Montvay |
Publisher | : Cambridge University Press |
Total Pages | : 512 |
Release | : 1994 |
Genre | : Mathematics |
ISBN | : 9780521599177 |
Presents a comprehensive and coherent account of the theory of quantum fields on a lattice.
Author | : Istvan Montvay |
Publisher | : Cambridge University Press |
Total Pages | : 512 |
Release | : 1994 |
Genre | : Mathematics |
ISBN | : 9780521599177 |
Presents a comprehensive and coherent account of the theory of quantum fields on a lattice.
Author | : Jan Smit |
Publisher | : Cambridge University Press |
Total Pages | : 287 |
Release | : 2002-09-19 |
Genre | : Mathematics |
ISBN | : 0521890519 |
Publisher Description
Author | : Francesco Knechtli |
Publisher | : Springer |
Total Pages | : 149 |
Release | : 2016-10-20 |
Genre | : Science |
ISBN | : 9402409998 |
This book provides an overview of the techniques central to lattice quantum chromodynamics, including modern developments. The book has four chapters. The first chapter explains the formulation of quarks and gluons on a Euclidean lattice. The second chapter introduces Monte Carlo methods and details the numerical algorithms to simulate lattice gauge fields. Chapter three explains the mathematical and numerical techniques needed to study quark fields and the computation of quark propagators. The fourth chapter is devoted to the physical observables constructed from lattice fields and explains how to measure them in simulations. The book is aimed at enabling graduate students who are new to the field to carry out explicitly the first steps and prepare them for research in lattice QCD.
Author | : Michael Stone |
Publisher | : Springer Science & Business Media |
Total Pages | : 285 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 1461205077 |
A gentle introduction to the physics of quantized fields and many-body physics. Based on courses taught at the University of Illinois, it concentrates on the basic conceptual issues that many students find difficult, and emphasizes the physical and visualizable aspects of the subject. While the text is intended for students with a wide range of interests, many of the examples are drawn from condensed matter physics because of the tangible character of such systems. The first part of the book uses the Hamiltonian operator language of traditional quantum mechanics to treat simple field theories and related topics, while the Feynman path integral is introduced in the second half where it is seen as indispensable for understanding the connection between renormalization and critical as well as non-perturbative phenomena.
Author | : Jan Smit |
Publisher | : Cambridge University Press |
Total Pages | : 285 |
Release | : 2023-07-31 |
Genre | : Science |
ISBN | : 1009402749 |
Author | : Heinz J Rothe |
Publisher | : World Scientific |
Total Pages | : 397 |
Release | : 1992-01-29 |
Genre | : |
ISBN | : 9814602302 |
This book introduces a large number of topics in lattice gauge theories, including analytical as well as numerical methods. It provides young physicists with the theoretical background and basic computational tools in order to be able to follow the extensive literature on the subject, and to carry out research on their own. Whenever possible, the basic ideas and technical inputs are demonstrated in simple examples, so as to avoid diverting the readers' attention from the main line of thought. Sufficient technical details are however given so that he can fill in the remaining details with the help of the cited literature without too much effort.This volume is designed for graduate students in theoretical elementary particle physics or statistical mechanics with a basic knowledge in Quantum Field Theory.
Author | : Michael Creutz |
Publisher | : Cambridge University Press |
Total Pages | : 179 |
Release | : 2023-01-31 |
Genre | : Science |
ISBN | : 100929038X |
This 1983 book, reissued as OA, introduces the lattice approach to QFT for elementary particle and solid state physicists.
Author | : Belal Ehsan Baaquie |
Publisher | : World Scientific |
Total Pages | : 317 |
Release | : 2020-07-30 |
Genre | : Science |
ISBN | : 9811209715 |
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.
Author | : Andreas Wipf |
Publisher | : Springer Nature |
Total Pages | : 568 |
Release | : 2021-10-25 |
Genre | : Science |
ISBN | : 3030832635 |
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.