Gauge-invariant, nonperturbative approach to quark confinement and chiral-symmetry breaking in QCD

Journal Article · Thu Dec 14 23:00:00 EST 1989 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.40.4157· OSTI ID:7243456

Gogokhia, V S ^[1]

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1. Central Research Institute for Physics, RMKI, Department of Theoretical Physics, Budapest 114, P.O. Box 49, H-1525, Hungary (HU)

A gauge-invariant, nonperturbative approach to quark confinement and chiral-symmetry breaking in the context of the Schwinger-Dyson equations and corresponding Slavnov-Taylor identities is presented. Making only one widely accepted assumption that the full gluon propagator becomes an infrared singularity like {ital q}{sup {minus}4} at small momenta, we obtain a nonperturbative, gauge-invariant, infrared-finite quark propagator, which has no pole (confinement-type solution) and implies chiral-symmetry breaking (dynamical quark mass generation), so that we establish a close connection between these nonperturbative phenomena. We discover that the ghost degrees of freedom play an essential role in the dynamics of chiral-symmetry breaking, but nevertheless the quark propagator we got was free of ghost complications. In addition to the infrared-finite solution, we find also two infrared-vanishing (after the removal of the infrared regulation parameter) solutions for the quark propagator. For the dynamical (nonperturbative) quark mass we derive the expression which exhibits an essential singularity in the coupling constant in accordance with renormalization-group solutions in the infrared region.

• OSTI ID: 7243456
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 40:12; ISSN PRVDA; ISSN 0556-2821
• 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
BAG MODEL
BOSON EXPANSION
CHIRAL SYMMETRY
COMPOSITE MODELS
COUPLING CONSTANTS
DYSON REPRESENTATION
ELEMENTARY PARTICLES
EXTENDED PARTICLE MODEL
FERMIONS
FIELD THEORIES
GAUGE INVARIANCE
INFRARED DIVERGENCES
INVARIANCE PRINCIPLES
MASS
MATHEMATICAL MODELS
PARTICLE MODELS
POSTULATED PARTICLES
PROPAGATOR
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
QUARKS
RENORMALIZATION
SYMMETRY
SYMMETRY BREAKING