Non-Abelian Aharonov-Bohm effect with the time-dependent gauge fields

Abstract

We investigate the non-Abelian Aharonov-Bohm (AB) effect for time-dependent gauge fields. We prove that the non-Abelian AB phase shift related to time-dependent gauge fields, in which the electric and magnetic fields are written in the adjoint representation of $SU(N)$ generators, vanishes up to the first order expansion of the phase factor. Therefore, the flux quantization in a superconductor ring does not appear in the time-dependent Abelian or non-Abelian AB effect.

4 pages

References in corpus (3)

• The time-dependent non-Abelian Aharonov-Bohm effect
• Aharonov-Bohm phase for an electromagnetic wave background
• Revisiting the Marton, Simpson, and Suddeth experimental confirmation of the Aharonov-Bohm effect

Cited by in corpus (2)

• Time-dependent Aharonov-Bohm effect on the noncommutative space
• Probing the noncommutative effects of phase space in the time-dependent Aharonov-Bohm effect