Non-Abelian gauge field theories on a lattice and spontaneous breaking of chiral symmetry

Varouzhan Baluni, Jorge F. Willemsen

Research output: Contribution to journalArticle

28 Scopus citations

Abstract

The perturbation theory for a color-quark gauge theory on a spatial lattice is developed in time-dependent form. Graphical rules are suggested. These methods are then applied to study the nature of the 5 symmetry exhibited when the bare-quark-mass term is zero. Investigation of the quark proper self-energy leads to the conclusion that the 5 symmetry is realized in the Nambu-Goldstone mode. A Bethe-Salpeter equation for the proper 5 vertex is solved in the ladder approximation, and shown to exhibit zero-mass poles.

Original languageEnglish (US)
Pages (from-to)3342-3369
Number of pages28
JournalPhysical Review D
Volume13
Issue number12
DOIs
StatePublished - 1976

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

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