Finite electrodynamics from T-duality

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.

17 pages, 1 figure; v2: expanded discussion, version published on Phys. Lett. B

References in corpus (13)

• The String Landscape and the Swampland
• Collider signals in unparticle physics
• Black holes in an ultraviolet complete quantum gravity
• T-duality and closed string non-commutative (doubled) geometry
• Trace Anomaly in Quantum Spacetime Manifold
• Un-graviton corrections to the Schwarzschild black hole
• Un-spectral dimension and quantum spacetime phases
• Fractional Electromagnetism in Quantum Matter and High-Energy Physics
• Minimal Scales from an Extended Hilbert Space
• Planckian charged black holes in ultraviolet self-complete quantum gravity
• String theory T-duality and the zero point length of spacetime
• Confinement from gluodynamics in curved space-time
• Zero-point length, extra-dimensions and string T-duality