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arXiv · 2407.11971

Quantizing Carrollian field theories

Jordan Cotler·Kristan Jensen·Stefan Prohazka·Amir Raz·Max Riegler·Jakob Salzer
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Abstract

Carrollian field theories have recently emerged as a candidate dual to flat space quantum gravity. We carefully quantize simple two-derivative Carrollian theories, revealing a strong sensitivity to the ultraviolet. They can be regulated upon being placed on a spatial lattice and working at finite inverse temperature. Unlike in conventional field theories, the details of the lattice-regulated Carrollian theories remain important at long distances even in the limit that the lattice spacing is sent to zero. We use that limit to define interacting continuum models with a tractable perturbative expansion. The ensuing theories are those of generalized free fields, with non-Gaussian correlations suppressed by positive powers of the lattice spacing, and an unbroken supertranslation symmetry.

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Jordan Cotler, Kristan Jensen, Stefan Prohazka, Amir Raz, Max Riegler, Jakob Salzer. 2024-10-14. Quantizing Carrollian field theories. https://doi.org/10.1007/jhep10(2024)049

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