Quantized Maxwell Theory in a Conformally Invariant Gauge

Details Quantized Maxwell Theory in a Conformally Invariant Gauge Quantized Maxwell Theory in a Conformally Invariant Gauge

1996-10-03

arxiv.org/abs/hep-th/9610017v2

Phys.Rev. D56 (1997) 2442-2444

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, plain Tex. In this revised version, the calculation of ghost basis functions has been amended, and the presentation h

Scientific paper

10.1103/PhysRevD.56.2442

Maxwell theory can be studied in a gauge which is invariant under conformal rescalings of the metric, and first proposed by Eastwood and Singer. This paper studies the corresponding quantization in flat Euclidean 4-space. The resulting ghost operator is a fourth-order elliptic operator, while the operator P on perturbations of the potential is a sixth-order elliptic operator. The operator P may be reduced to a second-order non-minimal operator if a dimensionless gauge parameter tends to infinity. Gauge-invariant boundary conditions are obtained by setting to zero at the boundary the whole set of perturbations of the potential, jointly with ghost perturbations and their normal derivative. This is made possible by the fourth-order nature of the ghost operator. An analytic representation of the ghost basis functions is also obtained.

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