English

Lorenz gauge quantization in conformally flat spacetimes

General Relativity and Quantum Cosmology 2015-04-23 v1

Abstract

Recently it was shown that Dirac's method of quantizing constrained dynamical systems can be used to impose the Lorenz gauge condition in a four-dimensional cosmological spacetime. In this paper we use Dirac's method to impose the Lorenz gauge condition in a general four-dimensional conformally flat spacetime and find that there is no particle production. We show that in cosmological spacetimes with dimension D4D\neq 4 there will be particle production when the scale factor changes, and we calculate the particle production due to a sudden change.

Keywords

Cite

@article{arxiv.1504.05914,
  title  = {Lorenz gauge quantization in conformally flat spacetimes},
  author = {Jesse C. Cresswell and Dan N. Vollick},
  journal= {arXiv preprint arXiv:1504.05914},
  year   = {2015}
}

Comments

8 pages

R2 v1 2026-06-22T09:20:44.959Z