AharonovBohm Effect in the Abelian Higgs Theory
Abstract
We study a fieldtheoretical analogue of the AharonovBohm effect in the Abelian Higgs Model: the corresponding topological interaction is proportional to the linking number of the AbrikosovNielsenOlesen string world sheets and the particle world trajectory. The creation operators of the strings are explicitly constructed in the path integral and in the Hamiltonian formulation of the theory. We show that the AharonovBohm effect gives rise to several nontrivial commutation relations. We also study the AharonovBohm effect in the lattice formulation of the Abelian Higgs Model. It occurs that this effect gives rise to a nontrivial interaction of tested charged particles.
 Publication:

arXiv eprints
 Pub Date:
 October 1995
 arXiv:
 arXiv:hepth/9510014
 Bibcode:
 1995hep.th...10014C
 Keywords:

 High Energy Physics  Theory;
 High Energy Physics  Lattice
 EPrint:
 13 pages (LaTeX) + 3 uuencoded gzcompressed PSfigures