Lorentz violation correction to the Aharonov-Bohm scattering
M. A. Anacleto
TL;DR
This paper investigates how Lorentz symmetry breaking affects Aharonov-Bohm scattering using a (2+1)-dimensional field theory, revealing a modified scattering amplitude and demonstrating the model's ultraviolet finiteness at one loop.
Contribution
It introduces a Lorentz violation correction to the Aharonov-Bohm effect within a (2+1)-dimensional framework, providing new insights into symmetry breaking impacts on quantum scattering.
Findings
Modified scattering amplitude due to Lorentz violation
Model remains ultraviolet finite at one loop
Provides a theoretical basis for Lorentz symmetry breaking effects
Abstract
In this paper, using a (2+1)-dimensional field theory approach, we study the Aharonov-Bohm (AB) scattering with Lorentz symmetry breaking. We obtain the modified scattering amplitude to the AB effect due to the small Lorentz violation correction in the breaking parameter and prove that up to one loop the model is free from ultraviolet divergences.
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Taxonomy
TopicsNoncommutative and Quantum Gravity Theories · Black Holes and Theoretical Physics · Crystallography and Radiation Phenomena