Published December 1977 | Version v1
Journal article

Scalar quantum electrodynamics on the lattice as classical statistical mechanics

  • 1. Salerno Univ. (Italy). Istituto de Fisica

Description

Wilson's lattice approximation allows us to apply classical statistical mechanics ideas to the study of Scalar Quantum Electrodynamics. Our main tools are Griffiths-Kelly-Sherman inequalities, the transfer matrix formalism and exponential bounds. Our main result is the existence of the infinite volume limit for every value of the coupling parameters. (orig.)

Abstract (German)

Wilson's Gitternaeherung erlaubt es uns, Ideen der statistischen Mechanik auf das Studium der skalaren Quantenelektrodynamik anzuwenden. Unsere wichtigsten Hilfsmittel sind die Griffiths-Kelly-Sherman Ungleichungen, der Transfer-Matrix-Formalismus und exponentielle Grenzen. Unser wichtigstes Ergebnis ist die Existenz des Grenzfalls fuer unendliches Volumen fuer jeden Wert der Kopplungsparameter. (orig.)

Additional details

Publishing Information

Journal Title
Commun. Math. Phys.
Journal Volume
57
Journal Issue
3
Series
Commun. Math. Phys.
Journal Page Range
201-212

INIS

Country of Publication
Germany
Country of Input or Organization
Germany
INIS RN
9392655
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
BOUND STATE; COUPLING; CRYSTAL LATTICES; QUANTUM ELECTRODYNAMICS; SCALAR FIELDS; STATISTICAL MECHANICS
Descriptors DEC
CRYSTAL STRUCTURE; ELECTRODYNAMICS; FIELD THEORIES; MECHANICS; QUANTUM FIELD THEORY

Optional Information

Notes
19 refs.