Gauge-Averaging Functionals for Euclidean Maxwell Theory in the Presence of Boundaries

Abstract

This paper studies the one-loop expansion of the amplitudes of electromagnetism about flat Euclidean backgrounds bounded by a 3-sphere, recently considered in perturbative quantum cosmology, by using zeta-function regularization. For a specific choice of gauge-averaging functional, the contributions to the full zeta value owed to physical degrees of freedom, decoupled gauge mode, coupled gauge modes and Faddeev-Popov ghost field are derived in detail, and alternative choices for such a functional are also studied. This analysis enables one to get a better understanding of different quantization techniques for gauge fields and gravitation in the presence of boundaries.

41 pages, plain-tex, recently appearing in Classical and Quantum Gravity, volume 11, pages 905-926, April 1994. The author wants to apologize for the delay in circulating the file, due to technical problems now fixed