One-Loop Quantum Effects in Carroll Scalars
Abstract
Carrollian field theories at the classical level possess an infinite number of space-time symmetries, namely the supertranslations. In this article, we inquire whether these symmetries for interacting Carrollian scalar field theory survive in the presence of quantum effects. For interactions polynomial in the field, the answer is in the affirmative. We also study a renormalization group flow particularly tailored to respect the manifest Carroll invariance and analyze the consequences of introducing Carroll-breaking deformations. The renormalization group flow, with perturbative loop-level effects taken into account, indicates a new fixed point apart from the Gaussian ones.
Cite
@article{arxiv.2307.03901,
title = {One-Loop Quantum Effects in Carroll Scalars},
author = {Kinjal Banerjee and Rudranil Basu and Bhagya Krishnan and Sabyasachi Maulik and Aditya Mehra and Augniva Ray},
journal= {arXiv preprint arXiv:2307.03901},
year = {2024}
}
Comments
20 pages, 6 figures. Version accepted for publication in Phys. Rev. D