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

by Belal Ehsan Baaquie

Overview

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.

Product Details

ISBN-13:	9789811209697
Publisher:	World Scientific Publishing Company, Incorporated
Publication date:	09/03/2020
Pages:	316
Product dimensions:	6.69(w) x 9.61(h) x 0.75(d)

Table of Contents

Synopsis; Fermion Calculus; Lattice Dirac Quantum Field; Dirac Hamiltonian: Fermionic Variables; Review of Compact Lie Groups; SU(N) Path Integrals; Lattice Gauge Field Lagrangian; Lattice Gauge Field Mass Renormalization; Lattice Gauge Field Hamiltonian; Hamiltonian, Wilson Fermions and Action; Gauge Field Block-Spin Renormalization; Epilogue