Instantaneous Coulomb interaction in quantum chromodynamics

Journal Article · Wed Aug 15 04:00:00 EDT 1979 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.20.1002· OSTI ID:5924206

Stump, D R

The instantaneous Coulomb interaction is studied in the SU(2) Yang-Mills theory. The Coulomb Green's function and quark-antiquark static potential are evaluated in a background gauge field that is spherically symmetric and of short range. Expansion of the Coulomb Green's function in vector spherical harmonic functions reduces the problem to a radial problem. The radial problem can be solved if the background field is taken to be sharply cut off at a range rho. Translation invariance is restored by averaging the potential over superpositions of the background field in the dilute-gas approximation. The resulting potential V (R) is asymptotically proportional to R/sup -1/. The strength of the potential is examined as a function of the magnitude of the background field. It is argued that instantons produce vacuum fluctuations similar to the background field that is used here.

• Research Organization: Physics Department, Indiana University, Bloomington, Indiana 47405
• OSTI ID: 5924206
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 20:4; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645201 -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BAG MODEL
COLOR MODEL
COMPOSITE MODELS
COULOMB FIELD
ELECTRIC FIELDS
ELEMENTARY PARTICLES
EXTENDED PARTICLE MODEL
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
GLUONS
GREEN FUNCTION
INSTANTONS
INTERACTIONS
INVARIANCE PRINCIPLES
LIE GROUPS
MATHEMATICAL MODELS
PARTICLE INTERACTIONS
PARTICLE MODELS
POSTULATED PARTICLES
POTENTIALS
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUARK MODEL
QUARK-ANTIQUARK INTERACTIONS
QUASI PARTICLES
SU GROUPS
SU-2 GROUPS
SYMMETRY GROUPS
VACUUM STATES
YANG-MILLS THEORY