Chiral-symmetry breaking in continuum two-dimensional QCD by an infrared method

Journal Article · Mon Feb 15 04:00:00 EST 1988 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.37.946· OSTI ID:5583069

Grandou, T; Cho, H; Fried, H M

Estimates of in the quenched approximation for two-dimensional QCD (QCD/sub 2/) are obtained, based upon a continuum, infrared approximation previously developed for QED/sub 2/. Nontrivial gauge-invariant extensions are devised for general SU(N), and computations are carried out for finite N( = 2,3) and in the large-N limit. Specifically non-Abelian structure appears for finite N, while the large-N limit displays an ''effective Abelian'' simplification. A nonzero value of is found in the chiral limit for all N; in the limit N..-->..infinity, approx.-gN/sup 3/2/, independently of the value g. (This generalized a previous result of Zhitnitsky, who found a similar combination in the planar limit, with gN/sup 1/2/ fixed.)

• Research Organization: Physique Theorique, Universite de Nice, Parc Valrose, 06034 Nice Cedex, France
• OSTI ID: 5583069
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 37:4; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645300 -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
COUPLING CONSTANTS
ELECTRODYNAMICS
ELEMENTARY PARTICLES
FIELD THEORIES
GAUGE INVARIANCE
INFRARED DIVERGENCES
INVARIANCE PRINCIPLES
LIE GROUPS
MASS
MATHEMATICAL MODELS
PARTICLE MODELS
POSTULATED PARTICLES
QUANTUM CHROMODYNAMICS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
QUARKS
SPACE-TIME
STRONG-COUPLING MODEL
SU GROUPS
SYMMETRY
SYMMETRY BREAKING
SYMMETRY GROUPS
TWO-DIMENSIONAL CALCULATIONS