Green Functions for Classical Euclidean Maxwell Theory
摘要
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.
引用
@article{arxiv.hep-th/9610133,
title = {Green Functions for Classical Euclidean Maxwell Theory},
author = {Giampiero Esposito},
journal= {arXiv preprint arXiv:hep-th/9610133},
year = {2008}
}
备注
13 pages, plain Tex. In this revised version, Eqs. (3.3)-(3.7) have been amended