Infrared behavior of the gluon propagator in Yang-Mills theory

Journal Article · Sun Jun 01 04:00:00 EDT 1986 · Theor. Math. Phys.; (United States)

OSTI ID:6895711

Natroshvili, K R; Khelashvili, A A; Khmaladze, V Y

The Dyson-Schwinger equation in a lightlike gauge and the Slavnov-Taylor identities are used to investigate the possible realization of a power-law infrared asymptotic behavior of the type (p/sup -2/) /sup a+1/ for the gluon propagator. Such behavior is shown to be compatible with the equation for only a = 1. By a suitable choice of the transverse part of the three-gluon vertex function, the Dyson-Schwinger equation is solved in the infrared region. The solution corresponds to a combinatin of a linearly increasing potential and a Coulomb potential. The authors conclude that in the coordinate representation the solution presented corresponds to a combination of a linear potential and a Coulomb potential.

• Research Organization: Institute of High-Energy Physics, Tbilisi Univ.
• OSTI ID: 6895711
• Journal Information: Theor. Math. Phys.; (United States), Journal Name: Theor. Math. Phys.; (United States) Vol. 65:3; ISSN TMPHA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSON EXPANSION
BOUNDARY CONDITIONS
COORDINATES
COULOMB FIELD
DIFFERENTIAL EQUATIONS
DYSON REPRESENTATION
ELECTRIC FIELDS
ELEMENTARY PARTICLES
EQUATIONS
FIELD THEORIES
GLUON MODEL
GLUONS
INFRARED DIVERGENCES
MATHEMATICAL MODELS
PARTICLE MODELS
POSTULATED PARTICLES
PROPAGATOR
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
SCHWINGER FUNCTIONAL EQUATIONS
YANG-MILLS THEORY