Reduced quantum electrodynamics in curved space

TL;DR

This paper extends reduced quantum electrodynamics to curved spaces, analyzing one-loop effects, and explores how curvature influences graphene's optical conductivity, revealing a curvature-induced chemical potential effect.

Contribution

It generalizes reduced quantum electrodynamics to curved geometries and investigates the impact of curvature on optical conductivity and related quantum effects.

Findings

One-loop beta function is zero.

Curvature affects optical conductivity.

Emergence of a curvature-induced chemical potential.

Abstract

An approach that has been given promising results concerning investigations on the physics of graphene is the so-called reduced quantum electrodynamics. In this work we consider the natural generalization of this formalism to curved spaces. We employ the local momentum space representation. We discuss the validity of the Ward identity and study one-loop diagrams in detail. We show that the one-loop beta function is zero. As an application, we calculate the one-loop optical conductivity of graphene by taking into account curvature effects which can be incorporated locally. In addition, we demonstrate how such effects may contribute to the conductivity. Furthermore, and quite unexpectedly, our calculations unveil the emergence of a curvature-induced effective chemical potential contribution in the optical conductivity.