Nontriviality of Abelian gauged Nambu-Jona-Lasinio models in four dimensions

M Reenders*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

14 Citations (Scopus)

Abstract

We study a particular class of Abelian gauged Nambu-Jona-Lasinio models with global U-L(N) x U-R(N) symmetry, where N is the number of fermion flavors. We show, by treating the gauge interaction in the ladder approximation and four-fermion interactions in the leading order of the 1/N expansion, that the renormalization-group beta function of the U(1) gauge coupling has ultraviolet stable fixed points for sufficiently large N. This implies the existence of a nontrivial continuum limit.

Original languageEnglish
Article number025001
Number of pages25
JournalPhysical Review D
Volume62
Issue number2
Publication statusPublished - 15-Jul-2000

Keywords

  • CHIRAL-SYMMETRY-BREAKING
  • RENORMALIZATION-GROUP FLOW
  • QUANTUM ELECTRODYNAMICS
  • CONTINUUM-LIMIT
  • CRITICAL EXPONENTS
  • CRITICAL-BEHAVIOR
  • 4-FERMION INTERACTION
  • MONOPOLE PERCOLATION
  • EIGENVALUE CONDITION
  • 4 DIMENSIONS

Cite this