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Quantizing Carrollian field theories

Authors :
Cotler, Jordan
Jensen, Kristan
Prohazka, Stefan
Raz, Amir
Riegler, Max
Salzer, Jakob
Source :
JHEP 10 (2024), 049
Publication Year :
2024

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.<br />Comment: 48 pages, 2 figures; v2: minor changes, matches published version

Details

Database :
arXiv
Journal :
JHEP 10 (2024), 049
Publication Type :
Report
Accession number :
edsarx.2407.11971
Document Type :
Working Paper
Full Text :
https://doi.org/10.1007/JHEP10(2024)049