Schrödinger Functional and Quantization of Gauge Theories in the Temporal Gauge

1998/10/22 by Giancarlo Rossi, G. C. Rossi, Rossi, G. C.
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Applications #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9810177

plain Latex, 6 pages, uses sprocl.sty (included). Talk given at PI98, Florence, Italy

arxiv created 1998/10/22 · openalex publication_date 1998/10/22 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the language of Feynman path integrals the quantization of gauge theories is most easily carried out with the help of the Schrödinger Functional (SF). Within this formalism the essentially unique gauge fixing condition is A_∘ = 0 (temporal gauge), as any other rotationally invariant gauge choice can be shown to be functionally equivalent to the former. In the temporal gauge Gauss' law is automatically implemented as a constraint on the states. States not annihilated by the Gauss operator describe the situation in which external (infinitely heavy) colour sources interact with the gauge field. The SF in the presence of an arbitrary distribution of external colour sources can be expressed in an elegant and concise way.

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