Infrared divergences in three-dimensional gauge theories

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 al...

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Veröffentlicht in:	Phys. Rev. D; (United States) 1984-09, Vol.30 (6), p.1338-1348
Hauptverfasser:	GUENDELMAN, E. I, RADULOVIC, Z. M
Format:	Artikel
Sprache:	eng
Schlagworte:	645400 - High Energy Physics- Field Theory Classical and quantum physics: mechanics and fields COUPLING CONSTANTS ELECTRODYNAMICS ELEMENTARY PARTICLES Exact sciences and technology FERMIONS FIELD THEORIES GAUGE INVARIANCE INFRARED DIVERGENCES INVARIANCE PRINCIPLES MASSLESS PARTICLES PERTURBATION THEORY Physics PHYSICS OF ELEMENTARY PARTICLES AND FIELDS PROPAGATOR QUANTUM CHROMODYNAMICS QUANTUM ELECTRODYNAMICS QUANTUM FIELD THEORY Theory of quantized fields VACUUM STATES YANG-MILLS THEORY
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Beschreibung
Zusammenfassung:	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.
ISSN:	0556-2821 1089-4918
DOI:	10.1103/PhysRevD.30.1338