Chiral symmetry breakdown. I. Gauge dependence in constant vertex approximation

Journal Article · Thu Oct 01 00:00:00 EDT 1987 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.527737· OSTI ID:6205245

Atkinson, D; Johnson, P W

An approximate quark propagator equation in a Landau-like gauge is analyzed and it is shown that there is a critical value of the coupling constant, corresponding to the onset of dynamical chiral symmetry breakdown, provided that (a) there is an infrared cutoff, which can be supplied by an effective gluon mass, and (b) there is an ultraviolet cutoff, which may be engendered by a running coupling constant. Dynamical chiral symmetry breakdown is shown not to occur in other gauges under the same circumstances, thus casting doubt upon the approximations commonly used.

• Research Organization: Institute for Theoretical Physics, P.O. Box 800, 9700 AV Groningen, The Netherlands
• OSTI ID: 6205245
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 28:10; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUNDARY CONDITIONS
CHIRAL SYMMETRY
COUPLING CONSTANTS
ELECTRODYNAMICS
ELEMENTARY PARTICLES
EQUATIONS
FIELD THEORIES
GAUGE INVARIANCE
GLUONS
INFRARED DIVERGENCES
INTEGRAL EQUATIONS
INVARIANCE PRINCIPLES
MASS
POSTULATED PARTICLES
PROPAGATOR
QUANTUM CHROMODYNAMICS
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
QUARKS
REST MASS
SYMMETRY
SYMMETRY BREAKING
ULTRAVIOLET DIVERGENCES