Introduction to quantum fields on a lattice

"A robust mate"

Jan Smit

282 pages, parution le 24/09/2002

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Résumé

Quantum field theory, our description of the fundamental forces in nature, was originally formulated in continuous space-time, where it leads to embarrassing infinities which have to be eliminated by a process called renormalization. A simple but rigorous formulation can be obtained by replacing continuous space-time by a discrete set of points on a lattice. This clarifies the essentials of quantum fields using concepts such as universality of critical phenomena and the renormalization group.This book provides a clear and pedagogical introduction to quantum fields on a lattice. The path integral on the lattice is explained in concrete examples using weak and strong coupling expansions. Fundamental concepts such as 'triviality' of Higgs fields and confinement of quarks and gluons into hadrons, are described and illustrated with the results of numerical simulations. The book also provides an introduction to chiral symmetry and chiral gauge theory. Based on the lecture notes of a course given by the author, this book contains many explanatory examples and exercises, and is suitable as a textbook for advanced undergraduate and graduate courses. Contents

Introduction
Path integral and lattice regularisation
O(n) models
Gauge field on the lattice
U(1) and SU(n) gauge theory
Fermions on the lattice
Low mass hadrons in QCD
Chiral symmetry

Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	Jan Smit
Parution	24/09/2002
Nb. de pages	282
Format	15 x 22,5
Couverture	Broché
Poids	389g
Intérieur	Noir et Blanc
EAN13	9780521890519
ISBN13	978-0-521-89051-9