Infrared behavior of non-Abelian gauge theories. II

Journal Article · Sun May 15 00:00:00 EDT 1977 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.15.2937· OSTI ID:7310322

Cornwall, J M; Tiktopoulos, G

We continue and extend our earlier work on infrared singularities of non-Abelian gauge theories (exemplified by quantum chromodynamics, or QCD), emphasizing the nature of these singularities in space-time rather than in momentum space. The leading logarithms of non-Abelian gauge theories sum to an eikonal (semiclassical) form for processes involving massive particles. This form is like the corresponding Abelian (QED) form, except that the coupling constant g is replaced by the invariant coupling g-bar (t) which depends on the momentum transfer t to the gluon. It is not known whether the nonleading logarithms exactly cancel order by order, but there are strong cancellations which are governed by Ward identities. Besides four-dimensional QCD, two analogous theories which show confinement are studied: Two-dimensional QCD is developed in the light-cone gauge without recourse to the large-N approximation of 't Hooft and is shown to have infrared singularities like those of a string theory with longitudinal modes. Three-dimensional QED is briefly discussed, and it is argued that confinement is revealed in the anomalous infrared behavior of the fermion propagator which is an entire function (of momentum) with no pole. Some speculations to this effect are made for four-dimensional QCD.

• Research Organization: Department of Physics, University of California, Los Angeles, California 90024
• OSTI ID: 7310322
• Journal Information: Phys. Rev., D; (United States), Vol. 15:10
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
UNIFIED GAUGE MODELS
INFRARED DIVERGENCES
COLOR MODEL
CONFINEMENT
EIKONAL APPROXIMATION
GAUGE INVARIANCE
GLUON MODEL
LIGHT CONE
PERTURBATION THEORY
PROPAGATOR
QUANTUM ELECTRODYNAMICS
QUANTUM FIELD THEORY
RENORMALIZATION
S MATRIX
WARD IDENTITY
WAVE FUNCTIONS
COMPOSITE MODELS
ELECTRODYNAMICS
FIELD THEORIES
FUNCTIONS
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MATRICES
PARTICLE MODELS
QUARK MODEL
SPACE-TIME
645400* - High Energy Physics- Field Theory