Aharonov-Bohm effect for bound states in the cosmic string spacetime in the context of rainbow gravity

TL;DR

This paper investigates how rainbow gravity modifies the Aharonov-Bohm effect for bound states of Dirac and scalar fields in cosmic string spacetime, revealing the influence of quantum gravity effects on topological quantum phenomena.

Contribution

It introduces a novel analysis of the Aharonov-Bohm effect within rainbow gravity in cosmic string spacetime, focusing on bound states under a confining potential.

Findings

Rainbow gravity alters the energy spectrum of bound states.

Topological effects are influenced by rainbow gravity modifications.

Comparison shows deviations from standard cosmic string spacetime results.

Abstract

We explore a scenario of the general relativity determined by the framework of the rainbow gravity with the purpose of searching for analogues of the Aharonov-Bohm effect. By focusing on the confinement of the Dirac field and the scalar field to a hard-wall confining potential in a modified background of the cosmic string spacetime, we examine the effects of the rainbow gravity and the topology of the cosmic string spacetime. Then, we compare each spectrum of energy with the cases where the rainbow gravity is absent.