Infrared divergences in three-dimensional gauge theories
- Resource Type
- Journal Article
- Authors
- Source
- Phys. Rev. D; (United States); 30:6
- Subject
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS GAUGE INVARIANCE
INFRARED DIVERGENCES
COUPLING CONSTANTS
FERMIONS
MASSLESS PARTICLES
PERTURBATION THEORY
PROPAGATOR
QUANTUM CHROMODYNAMICS
QUANTUM ELECTRODYNAMICS
VACUUM STATES
YANG-MILLS THEORY
ELECTRODYNAMICS
ELEMENTARY PARTICLES
FIELD THEORIES
INVARIANCE PRINCIPLES
QUANTUM FIELD THEORY 645400* -- High Energy Physics-- Field Theory
- Language
- English
The loop expansion in massless three-dimensional gauge theories develops infrared divergences starting at the two-loop level. However, we show that the divergences in QCD/sub 3/ which arise through the three-loop level (g/sup 6/) can be removed by using a residual gauge freedom in covariant ..cap alpha.. gauges. Divergences in gauge-invariant amplitudes arise at g/sup 8/ order, as shown explicitly for the Wilson loop. Massless scalar QED develops a gauge-invariant singularity at order g/sup 4/, which can be canceled by changing the perturbative vacuum.