Towards Carrollian quantization: renormalization of Carrollian electrodynamics

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.

arXiv commentPublished in Phys. Rev. D

References in corpus (25)

• JaxoDraw: A graphical user interface for drawing Feynman diagrams
• Conformal Carroll groups and BMS symmetry
• Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time
• Carrollian Perspective on Celestial Holography
• Flat Holography: Aspects of the dual field theory
• Carrollian Physics at the Black Hole Horizon
• Flat holography and Carrollian fluids
• Field Theories with Conformal Carrollian Symmetry
• Magic Fermions: Carroll and Flat Bands
• Effective field theories for QED bound states: extending Nonrelativistic QED to study retardation effects
• Carroll symmetry of plane gravitational waves
• Field Theories on Null Manifolds
• Conformal Carroll Scalars with Boosts
• Master Equation for Lagrangian Gauge Symmetries
• Carrollian Origins of Bjorken Flow
• Interacting Conformal Carrollian Theories: Cues from Electrodynamics
• Carroll covariant scalar fields in two dimensions
• The Nielsen Identities for the Two-Point Functions of QED and QCD
• Renormalization of Galilean Electrodynamics
• Carrollian Motion in Magnetized Black Hole Horizons
• Infrared divergences, mass shell singularities and gauge dependence of the dynamical fermion mass
• Supersymmetric Galilean Electrodynamics
• Galilean fermions: Classical and quantum aspects
• The pole of the fermion propagator in a general class of gauges
• On the gauge independence of the fermion pole mass

Cited by in corpus (5)

• One-Loop Quantum Effects in Carroll Scalars
• Quantizing Carrollian field theories
• Quantization of Carrollian fermions
• Sourced Carrollian Fluids Dual to Black Hole Horizons
• Unique Carrollian manifolds emerging from Einstein spacetimes