# Towards Carrollian quantization: renormalization of Carrollian electrodynamics

## TL;DR

This paper explores the challenges of quantizing Carrollian gauge theories, specifically electrodynamics, revealing issues like IR divergences and gauge dependence that complicate their renormalization.

## Contribution

It is the first study to analyze the renormalization of Carrollian gauge theories using path integral methods, highlighting fundamental problems and proposing potential solutions.

## Key findings

- IR divergences and mass shell singularities appear at first order
- Gauge independence arguments are invalid in Carrollian settings
- Renormalization issues lead to unphysical implications

## Abstract

Field-theoretic description of Carrollian theories has largely remained classical so far. In this paper, we attempt to study the renormalization of Carrollian gauge field theories via path integral techniques. The case of Carrollian electrodynamics minimally coupled to a massive Carrollian scalar is considered. We report potential problems such as IR divergences and mass shell singularity cropping up at the first order in the perturbation. Perhaps, the most important result that we report is how conventional arguments for gauge independence for mass and coupling are invalidated for a gauge theory in a Carrollian setting. As of now, the renormalization of Carrollian gauge field theories seems to suffer from unphysical ramifications. Possible cures to resolve these issues are suggested.