Work

The quantization of Maxwell theory in the Cauchy radiation gauge: Hodge decomposition and Hadamard states

Year: 2024

Type: article

Abstract: The aim of this paper is to prove the existence of Hadamard states for the Maxwell equations on any globally hyperbolic spacetime. This will be achieved by introducing a new gauge fixing condition, the Cauchy radiation gauge, that will allow to suppress all the unphysical degrees of freedom. The key ingredient for achieving this gauge is a new Hodge decomposition for differential ‐forms in Sobolev spaces on complete (possibly noncompact) Riemannian manifolds.

Source: Journal of the London Mathematical Society

DOI: 10.1112/jlms.70020

Authors: Simone Murro, Gabriel Schmid

Institutions: Istituto Nazionale di Alta Matematica Francesco Severi, Istituto Nazionale di Fisica Nucleare, Sezione di Genova, University of Genoa

Language: English

Topic: Quantum and Classical Electrodynamics

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,780

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Gruppo Nazionale per la Fisica Matematica