English

Aharonov-Bohm Scattering, Contact Interactions and Scale Invariance

High Energy Physics - Theory 2009-10-22 v1

Abstract

We perform a perturbative analysis of the Aharonov-Bohm problem to one loop in a field-theoretic formulation, and show that contact interactions are necessary for renormalizability. In general, the classical scale invariance of this problem is broken quantum mechanically. There exists however a critical point for which this anomaly disappears.

Keywords

Cite

@article{arxiv.hep-th/9302116,
  title  = {Aharonov-Bohm Scattering, Contact Interactions and Scale Invariance},
  author = {O. Bergman and G. Lozano},
  journal= {arXiv preprint arXiv:hep-th/9302116},
  year   = {2009}
}

Comments

9 pages, TEX, CTP#2182

R2 v1 2026-07-22T15:45:12.108Z