AdS interpretation of two-point correlation function of QED

TL;DR

This paper explores the AdS interpretation of the two-point correlation function in QED using worldline formalism, connecting it with bulk-to-boundary propagators and heat kernel techniques.

Contribution

It introduces a novel interpretation of QED two-point functions within the AdS framework, utilizing heat kernel and worldline formalism methods.

Findings

Expressed QED two-point correlation in terms of heat kernel.

Identified the $K_1$ function as related to bulk-to-boundary propagator.

Revealed the bulk-to-boundary propagator in photon polarization operator.

Abstract

We have considered the two-point correlation of QED in worldline formalism. In position space it has been written in terms of heat kernel. This leads to introducing the $K_1$ function, which is related with the bulk-to-boundary propagator of massless scalar field and to reveal bulk-to-boundary propagator in the expression of photon polarization operator.