The quantum effective potential of a self-dual Josephson junction arrayS. Sakhi
College of Arts and Sciences, American University of Sharjah - P.O. Box 26666, Sharjah, United Arab Emirates
received 16 March 2009; accepted in final form 27 July 2009; published August 2009
published online 27 August 2009
I investigate the radiative corrections to the effective potential for an Abelian gauge theory relevant to the low-energy dynamics of self-dual Josephson junction arrays. In this theory, the two complex scalar disorder fields associated with electric and magnetic charges are minimally coupled to topologically massive gauge fields whose dynamics is governed by two Maxwell terms and a mixed Chern-Simons term. The fluctuating gauge fields contribution to the one-loop effective potential is evaluated and its effect on the spontaneous symmetry breaking is examined. Coupling to gapless fermions is shown to induce radiative correction terms in the effective potential which favor transitions between a superconducting state and an insulating state.
74.81.Fa - Josephson junction arrays and wire networks.
11.30.Qc - Spontaneous and radiative symmetry breaking.
74.20.De - Phenomenological theories (two-fluid, Ginzburg–Landau, etc.).
© EPLA 2009