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Title: Quantized Maxwell theory in a conformally invariant gauge

Abstract

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}

Authors:
 [1]
  1. Istituto Nazionale di Fisica Nucleare, Sezione di Napoli, Mostra dOltremare Padiglione 20, 80125 Napoli (Italy)
Publication Date:
OSTI Identifier:
538682
Resource Type:
Journal Article
Journal Name:
Physical Review, D
Additional Journal Information:
Journal Volume: 56; Journal Issue: 4; Other Information: PBD: Aug 1997
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; QUANTUM GRAVITY; CONFORMAL INVARIANCE; MAXWELL EQUATIONS; QUANTIZATION; PERTURBATION THEORY; SCALING; WAVE FUNCTIONS; BOUNDARY CONDITIONS; GAUGE INVARIANCE

Citation Formats

Esposito, G, and Dipartimento di Scienze Fisiche, Mostra dOltremare Padiglione 19, 80125 Napoli. Quantized Maxwell theory in a conformally invariant gauge. United States: N. p., 1997. Web. doi:10.1103/PhysRevD.56.2442.
Esposito, G, & Dipartimento di Scienze Fisiche, Mostra dOltremare Padiglione 19, 80125 Napoli. Quantized Maxwell theory in a conformally invariant gauge. United States. https://doi.org/10.1103/PhysRevD.56.2442
Esposito, G, and Dipartimento di Scienze Fisiche, Mostra dOltremare Padiglione 19, 80125 Napoli. 1997. "Quantized Maxwell theory in a conformally invariant gauge". United States. https://doi.org/10.1103/PhysRevD.56.2442.
@article{osti_538682,
title = {Quantized Maxwell theory in a conformally invariant gauge},
author = {Esposito, G and Dipartimento di Scienze Fisiche, Mostra dOltremare Padiglione 19, 80125 Napoli},
abstractNote = {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}},
doi = {10.1103/PhysRevD.56.2442},
url = {https://www.osti.gov/biblio/538682}, journal = {Physical Review, D},
number = 4,
volume = 56,
place = {United States},
year = {Fri Aug 01 00:00:00 EDT 1997},
month = {Fri Aug 01 00:00:00 EDT 1997}
}