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    Lorenz gauge quantization in conformally flat spacetimes

    Jesse C. Cresswell* and Dan N. Vollick

    • Irving K. Barber School of Arts and Sciences, University of British Columbia Okanagan, 3333 University Way, Kelowna, British Columbia, Canada V1V 1V7

    • *Present address: Department of Physics, University of Toronto, Canada M5S 1A7.

    Phys. Rev. D 91, 084008 – Published 3 April, 2015

    DOI: https://doi.org/10.1103/PhysRevD.91.084008

    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 D≠4 there will be particle production when the scale factor changes, and we calculate the particle production due to a sudden change.

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