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arXiv · 2202.09311

Finite electrodynamics from T-duality

Patricio Gaete·Piero Nicolini
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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 $(α^\prime)^{1/2}$. 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.

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Patricio Gaete, Piero Nicolini. 2022-05-04. Finite electrodynamics from T-duality. https://doi.org/10.1016/j.physletb.2022.137100

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