T-Duality Effects in Electrodynamics: The (2+1)-dimensional Case

TL;DR

This paper explores how T-duality modifies (2+1)-dimensional electrodynamics, showing it regularizes electrostatic potential energy at short distances and may influence fractalization in physical systems.

Contribution

It demonstrates the impact of T-duality on electrostatic potentials and discusses its potential role in understanding fractalization in condensed matter physics.

Findings

Electrostatic potential energy is finite at short distances due to T-duality.

Potential remains logarithmic at large distances, indicating a scale-dependent effect.

T-duality may help explain fractalization phenomena in physical systems.

Abstract

We investigate the interplay between T-duality and (2+1)- dimensional electrodynamics, revealing a relationship between short and large length scales of the gauge potential. Our findings demonstrate that the electrostatic potential energy between static charges is no longer divergent at short distances in the presence of T-duality effects. It remains logarithmic at large distances, suggesting the possibility of a regulatory role for the T-duality scale \( l_0 \) in the space where the radial coordinate goes into its inverse. We also discuss the potential of T-duality to elucidate fractalization effects in physical systems, paving the way for future research on the implications for superconductors and condensed matter systems in general.