Published September 1983 | Version v1
Journal article

An integrability condition for gauge field copies

  • 1. Rio de Janeiro Univ. (Brazil). Escola de Comunicacao
  • 2. Universidade do Estado do Rio de Janeiro (Brazil). Inst. de Fisica

Description

It is shown that [Ω and theta] = 0, where theta defines an integrable sub-bundle in the tangent bundle T.P. to the principal bundle P associated to a gauge field theory on a general n-dimensional manifold, is a necessary and sufficient condition for the existence of potential ambiguities in that gauge theory. (Author)

Abstract (Portuguese)

Mostra-se que [Ω and theta] = 0, onde theta define um subfibrado integravel do fibrato tangente T.P. ao fibrado principal P que se associa a uma teoria de 'gauge' sobre uma variedade n-dimensional generica, e uma condicao necessaria e suficiente para a existencia de ambiguidades de potencial naquela teoria de gauge. (Autor)

Additional details

Publishing Information

Journal Title
Rev. Bras. Fis.
Journal Volume
13
Journal Issue
3
Series
Rev. Bras. Fis.
Journal Page Range
576-590
ISSN
0374-4922

INIS

Country of Publication
Brazil
Country of Input or Organization
Brazil
INIS RN
15065123
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
DIFFERENTIAL GEOMETRY; FIELD THEORIES; GAUGE INVARIANCE; INTEGRAL CALCULUS; LIE GROUPS; MATHEMATICAL MANIFOLDS; POTENTIALS
Descriptors DEC
GEOMETRY; INVARIANCE PRINCIPLES; MATHEMATICS; SYMMETRY GROUPS