Green Functions for Classical Euclidean Maxwell Theory

Details Green Functions for Classical Euclidean Maxwell Theory Green Functions for Classical Euclidean Maxwell Theory

1996-10-17

arxiv.org/abs/hep-th/9610133v2

Nuovo Cim. B112 (1997) 1405-1413

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, plain Tex. In this revised version, Eqs. (3.3)-(3.7) have been amended

Scientific paper

Recent work on the quantization of Maxwell theory has used a non-covariant class of gauge-averaging functionals which include explicitly the effects of the extrinsic-curvature tensor of the boundary, or covariant gauges which, unlike the Lorentz case, are invariant under conformal rescalings of the background four-metric. This paper studies in detail the admissibility of such gauges at the classical level. It is proved that Euclidean Green functions of a second- or fourth-order operator exist which ensure the fulfillment of such gauges at the classical level, i.e. on a portion of flat Euclidean four-space bounded by three-dimensional surfaces. The admissibility of the axial and Coulomb gauges is also proved.

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