Approaches to a non-abelian antisymmetric tensor gauge field theory

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20 Scopus citations

Abstract

Two distinct attempts at constructing a theory of non-abelian antisymmetric tensor gauge fields (ATGF's) are considered. First, a recently proposed geometry of abelian ATGF's is reviewed and then generalized to the non-abelian case. The resulting geometric action is non-local and is invariant under non-local gauge transformations; in the local limit the action describes free fields. Lattice actions for both the abelian and non-abelian ATGF theories are also presented. In the second approach, a lattice action for non-abelian ATGF's is constructed using a plaquette variables that carry four internal indices. The continuum limit is also a non-interacting theory.

Original languageEnglish (US)
Pages (from-to)301-320
Number of pages20
JournalNuclear Physics, Section B
Volume212
Issue number2
DOIs
StatePublished - Feb 14 1983
Externally publishedYes

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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