arXiv Open Access 2024

The Quantization of Maxwell Theory in the Cauchy Radiation Gauge: Hodge Decomposition and Hadamard States

Simone Murro Gabriel Schmid

Lihat Sumber

Abstrak

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 k-forms in Sobolev spaces on complete (possibly non-compact) Riemannian manifolds.

Topik & Kata Kunci

math.AP math-ph math.DG math.FA

Penulis (2)

Simone Murro

Gabriel Schmid

Format Sitasi

APA MLA BibTeX

Murro, S., Schmid, G. (2024). The Quantization of Maxwell Theory in the Cauchy Radiation Gauge: Hodge Decomposition and Hadamard States. https://arxiv.org/abs/2401.08403

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2024
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓