Gupta-Bleuler quantization of optical fibers in weak gravitational fields

• URL: http://arxiv.org/abs/2207.13537v3
• Date: Mon, 4 Dec 2023 09:28:50 GMT
• Title: Gupta-Bleuler quantization of optical fibers in weak gravitational fields
• Abstract summary: Theory is developed using a generalisation of the standard $R_xi$ gauge-fixing term. In static space-times, the theory can be quantised using the Gupta-Bleuler method. This yields a consistent first-principles description of gravitational fibre-optic interferometry at the single-photon level.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: The theory of gauge-fixed Maxwell equations in linear isotropic dielectrics is developed using a generalisation of the standard $R_\xi$ gauge-fixing term. In static space-times, the theory can be quantised using the Gupta-Bleuler method, which is worked out explicitly for optical fibres either in flat space-time or at a constant gravitational potential. This yields a consistent first-principles description of gravitational fibre-optic interferometry at the single-photon level within the framework of quantum field theory in curved space-times.

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