Triviality of the Aharonov–Bohm interaction in a spatially confining vacuum

Dmitri Antonov

doi:10.1140/epjc/s10052-012-2015-0

EPJ

Triviality of the Aharonov–Bohm interaction in a spatially confining vacuum

Dmitri Antonov^*

Departamento de Física and Centro de Física das Interacções Fundamentais, Instituto Superior Técnico, UT Lisboa, Av. Rovisco Pais, 1049-001, Lisbon, Portugal

Received: 18 April 2012
Published online: 24 May 2012

Abstract

This paper explores long-range interactions between magnetically charged excitations of the vacuum of the dual Landau–Ginzburg theory (DLGT) and the dual Abrikosov vortices present in the same vacuum. We show that, in the London limit of DLGT, the corresponding Aharonov–Bohm-type interactions possess such a coupling that the interactions reduce to a trivial factor of e^{2πi×(integer)}. The same analysis is done in the SU(N _c)-inspired [U(1)]

-invariant DLGT, as well as in DLGT extended by a Chern–Simons term. It is furthermore explicitly shown that the Chern–Simons term leads to the appearance of knotted dual Abrikosov vortices.