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



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Alonso Serrano, Ana and Tjoa, Erickson and Garay Elizondo, Luis Javier and Martin Martinez, Eduardo (2021) The time traveler’s guide to the quantization of zero modes. Journal of High Energy Physics, 2021 (12). ISSN 1029-8479

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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.

Item Type:Article
Uncontrolled Keywords:2D Gravity, Black Holes, Conformal Field Theory, Field Theories in Lower Dimensions
Subjects:Sciences > Physics > Quantum theory
ID Code:74470
Deposited On:09 Sep 2022 14:18
Last Modified:13 Sep 2022 10:35

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