U(1) Gauge Field in 6D Space-Time With Compact Noncommutative Dimensions: A Coherent State Approach

TL;DR

This paper explores a U(1) gauge field in a 6D space-time with noncommutative compact extra dimensions, showing that fuzziness can cancel certain electrostatic interactions mediated by massive KK modes.

Contribution

It introduces a coherent state approach to analyze gauge fields in noncommutative extra dimensions, revealing a mechanism for interaction cancellation.

Findings

Fuzziness of extra dimensions cancels part of electrostatic interactions.

Coherent state approach effectively models noncommutative geometries.

Massive KK modes' contributions are mitigated by noncommutativity.

Abstract

We consider the U(1) gauge field defined over a six dimensional space-time with extra dimensions compactified on a noncommutative toroidal orbifold, within the context of coherent state approach to the noncommutative spaces. We demonstrate that the fuzzines of extra dimensions can lead to the canceling of the part of electrostatic interaction mediated by the massive KK modes.