Related papers: The time traveler's guide to the quantization of zero modes

The time traveler's guide to the quantization of zero modes

URL: http://arxiv.org/abs/2108.07274v3
Date: Sun, 26 Dec 2021 18:01:24 GMT
Title: The time traveler's guide to the quantization of zero modes
Authors: Ana Alonso-Serrano, Erickson Tjoa, Luis J. Garay and Eduardo Mart\'in-Mart\'inez
Abstract summary: We study the relationship between the quantization of a massless scalar field on the two-dimensional Einstein cylinder and in a spacetime with a time machine. We find that the latter picks out a unique prescription for the state of the zero mode in the Einstein cylinder.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We study the relationship between the quantization of a massless scalar field on the two-dimensional Einstein cylinder and in a spacetime with a time machine. We find that the latter picks out a unique prescription for the state of the zero mode in the Einstein cylinder. We show how this choice arises from the computation of the vacuum Wightman function and the vacuum renormalized stress-energy tensor in the time-machine geometry. Finally, we relate the previously proposed regularization of the zero mode state as a squeezed state with the time-machine warp parameter, thus demonstrating that the quantization in the latter regularizes the quantization in an Einstein cylinder.

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