Leibbrandt--Mandelstam prescription for general axial gauge one-loop integrals

Journal Article · Sat Oct 31 23:00:00 EST 1987 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.527726· OSTI ID:6084559

Gaigg, P; Kreuzer, M; Schweda, M; Piguet, O

It is well known that, in doing light-cone gauge calculations, it is mandatory to regularize the unphysical (q n)/sup -//sup ..beta../ poles by use of the Leibbrandt--Mandelstam prescription. This technique is also applied to general axial gauges and it is proved that it is a suitable regularization procedure for these gauges as well. In order to find the relation between the Leibbrandt prescription and the more familiar principal value prescription with its simpler Lorentz structure the temporal gauge limit n..-->..0 is performed (within dimensional regularization). Although this limit is found to be singular for multiple poles, the analytically regularized one-loop integrals agree with the results obtained within the principal value technique for the temporal gauge.

• Research Organization: Institut fuer Theoretische Physik, Technische Universitaet Wien, Karlsplatz 13, A-1040 Wien/Vienna, Austria
• OSTI ID: 6084559
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 28:11; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

645201* -- High Energy Physics-- Particle Interactions & Properties-Theoretical-- General & Scattering Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
AXIAL SYMMETRY
DISPERSION RELATIONS
FIELD THEORIES
GAUGE INVARIANCE
INTEGRALS
INTERACTIONS
INVARIANCE PRINCIPLES
LIGHT CONE
LORENTZ INVARIANCE
MANDELSTAM REPRESENTATION
PARTICLE INTERACTIONS
QUANTUM FIELD THEORY
RENORMALIZATION
SPACE-TIME
SYMMETRY
UNITARITY
YANG-MILLS THEORY