Gauge-fixing ambiguities and gauge dependence of gauge-variant Schwinger-model correlation functions

Journal Article · Mon Jun 15 00:00:00 EDT 1992 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.45.4644· OSTI ID:7035864

Yee, K ^[1]

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1. Physics Theory Group, Brookhaven National Laboratory, Upton, New York 11973 (United States)

Motivated by recent numerical studies of gauge-variant correlation functions in (3+1)-dimensional lattice QCD, we examine quark and photon correlation functions in the massless Schwinger model on {ital D}=1+1 Minkowski space {ital M}{sup 2}. Quantizing QED{sub {ital M}}{sup 2} in covariant gauges, we find that (i) the effective quark mass depends on the covariant gauge parameter {xi} and (ii) gauge-fixing ambiguities modify operator-product-expansion coefficients computed by matching nonperturbative quark correlation functions.

• DOE Contract Number: AC02-76CH00016
• OSTI ID: 7035864
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 45:12; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
LATTICE FIELD THEORY
QUANTUM ELECTRODYNAMICS
QUANTUM CHROMODYNAMICS
CORRELATION FUNCTIONS
BOSON EXPANSION
BOUNDARY CONDITIONS
EFFECTIVE MASS
FOUR-DIMENSIONAL CALCULATIONS
GAUGE INVARIANCE
GLUONS
MASSLESS PARTICLES
MINKOWSKI SPACE
PHOTONS
PROPAGATOR
QUARKS
TWO-DIMENSIONAL CALCULATIONS
VECTOR FIELDS
BOSONS
ELECTRODYNAMICS
ELEMENTARY PARTICLES
FERMIONS
FIELD THEORIES
FUNCTIONS
INVARIANCE PRINCIPLES
MASS
MATHEMATICAL SPACE
POSTULATED PARTICLES
QUANTUM FIELD THEORY
SPACE
662110* - General Theory of Particles & Fields- Theory of Fields & Strings- (1992-)
662120 - General Theory of Particles & Fields- Symmetry
Conservation Laws
Currents & Their Properties- (1992-)
662220 - Quantum Electrodynamics- (1992-)