Finite electrodynamics from T-duality

TL;DR

This paper explores how T-duality influences electrodynamics by introducing a nonlocal action, leading to regularized Coulomb potentials and fractalization effects, with potential experimental implications.

Contribution

It formulates a T-duality inspired nonlocal electrodynamics, deriving regularized potentials and revealing fractalization effects, extending the understanding of gauge theories.

Findings

Coulomb potential regularized by a length scale

Fields vanish at the origin due to T-duality effects

T-duality induces dimensional fractalization similar to fractional electromagnetism

Abstract

In this paper, we present the repercussions of Padmanabhan's propagator in electrodynamics. This corresponds to implement T-duality effects in a U(1) gauge theory. By formulating a nonlocal action consistent with the above hypothesis, we derive the profile of static potentials between electric charges via a path integral approach. Interestingly, the Coulomb potential results regularized by a length scale proportional to the parameter $(\alpha^\prime)^{1/2}$. Accordingly, fields are vanishing at the origin. We also discuss an array of experimental testbeds to expose the above results. It is interesting to observe that T-duality generates an effect of dimensional fractalization, that resembles similar phenomena in fractional electromagnetism. Finally, our results have also been derived with a gauge-invariant method, as a necessary check of consistency for any non-Maxwellian theory.