Quantized Maxwell theory in a conformally invariant gauge
- Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, Mostra dOltremare Padiglione 20, 80125 Napoli (Italy)
Maxwell theory can be studied in a gauge which is invariant under conformal rescalings of the metric, as first proposed by Eastwood and Singer. This paper studies the corresponding quantization in flat Euclidean four-space. The resulting ghost operator is a fourth-order elliptic operator, while the operator P on perturbations A{sub {mu}} of the potential is a sixth-order elliptic operator. The operator P may be reduced to a second-order nonminimal operator if a gauge parameter tends to infinity. Gauge-invariant boundary conditions are obtained by setting to zero at the boundary the whole set of A{sub {mu}} perturbations, jointly with ghost perturbations and their normal derivatives. This is made possible by the fourth-order nature of the ghost operator. An analytic representation of the ghost basis functions is also obtained. {copyright} {ital 1997} {ital The American Physical Society}
- OSTI ID:
- 538682
- Journal Information:
- Physical Review, D, Vol. 56, Issue 4; Other Information: PBD: Aug 1997
- Country of Publication:
- United States
- Language:
- English
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