Stress tensor and current correlators of interacting conformal field theories in 2+1 dimensions: Fermionic Dirac matter coupled to U(1) gauge field

TL;DR

This paper calculates key physical quantities like the central charge and conductivity for fermions interacting with a U(1) gauge field in 2+1 dimensions, providing insights into strongly correlated quantum systems.

Contribution

It provides next-to-leading order computations of $C_T$ and $C_J$ in the $1/N_F$ expansion for interacting conformal field theories in 2+1 dimensions, advancing theoretical understanding.

Findings

Computed $C_T$ and $C_J$ up to next-to-leading order

Analyzed implications for condensed matter and quantum electrodynamics

Enhanced diagnostic tools for strongly correlated systems

Abstract

We compute the central charge $C_T$ and universal conductivity $C_J$ of $N_F$ fermions coupled to a $U(1)$ gauge field up to next-to-leading order in the $1/N_F$ expansion. We discuss implications of these precision computations as a diagnostic for response and entanglement properties of interacting conformal field theories for strongly correlated condensed matter phases and conformal quantum electrodynamics in $2+1$ dimensions.