Convergence of Feynman integrals in Coulomb gauge QCD

Journal Article · Mon Dec 15 00:00:00 EST 2014 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/J.AOP.2014.09.006· OSTI ID:22403475

Andraši, A., E-mail: [e-mail] ^[1]; Taylor, J.C., E-mail: [e-mail] ^[2]

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1. Vlaška 58, Zagreb (Croatia)
2. DAMTP, University of Cambridge, Cambridge (United Kingdom)

At 2-loop order, Feynman integrals in the Coulomb gauge are divergent over the internal energy variables. Nevertheless, it is known how to calculate the effective action, provided that the external gluon fields are all transverse. We show that, for the two-gluon Greens function as an example, the method can be extended to include longitudinal external fields. The longitudinal Greens functions appear in the BRST identities. As an intermediate step, we use a flow gauge, which interpolates between the Feynman and Coulomb gauges.

• OSTI ID: 22403475
• Journal Information: Annals of Physics (New York), Vol. 351; Other Information: Copyright (c) 2014 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ACTION INTEGRAL
CONVERGENCE
FEYNMAN PATH INTEGRAL
GAUGE INVARIANCE
GLUONS
GREEN FUNCTION
QUANTUM CHROMODYNAMICS