Canonical formalism and the Leibbrandt-Mandelstam prescription for noncovariant gauges

Journal Article · Tue Aug 15 00:00:00 EDT 1989 · Physical Review (Section) D: Particles and Fields; (USA)

DOI:https://doi.org/10.1103/PhysRevD.40.1221· OSTI ID:5540128

Burnel, A ^[1]

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1. Physique Theorique et Mathematique, Universite de Liege, Institute de Physique au Sart Tilman (Batiment B.5), B-4000 Liege 1, Belgium (BE)

A very simple and elegant approach to the Leibbrandt-Mandelstam regularization is given within the canonical formalism. For any value of {ital n}{sup 2} with {ital n}{sub 0} {ital and} {bold n} different from zero, it consists of introducing the hyperbolic operator {ital n}{sup *}{center dot}{partial derivative}n{center dot}{partial derivative}=(n{sub 0}{partial derivative}{sub 0}){sup 2} {minus}({ital Rn}{center dot}{partial derivative}){sup 2} inside the field equations. The Cauchy problem is solved in the free field theory leading to a propagator regularized by means of the Leibbrandt-Mandelstam prescription. In the non-Abelian theory, these gauges are now on the same footing as relativistic gauges but the contribution of ghost loops vanishes.

• OSTI ID: 5540128
• Journal Information: Physical Review (Section) D: Particles and Fields; (USA), Journal Name: Physical Review (Section) D: Particles and Fields; (USA) Vol. 40:4; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

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