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

Varouzhan Baluni, Jorge Willemsen

Research output: Contribution to journalArticle

28 Citations (Scopus)

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 - Jan 1 1976
Externally publishedYes

Fingerprint

quarks
symmetry
Bethe-Salpeter equation
ladders
gauge theory
apexes
poles
perturbation theory
color
approximation
energy

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

Non-Abelian gauge field theories on a lattice and spontaneous breaking of chiral symmetry. / Baluni, Varouzhan; Willemsen, Jorge.

In: Physical Review D, Vol. 13, No. 12, 01.01.1976, p. 3342-3369.

Research output: Contribution to journalArticle

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