Three-dimensional Lorentz-violating action

Abstract

We demonstrate the generation of the three-dimensional Chern-Simons-like Lorentz-breaking ``mixed" quadratic action via an appropriate Lorentz-breaking coupling of vector and scalar fields to the spinor field and study some features of the scalar QED with such a term. We show that the same term emerges through a nonpertubative method, namely the Julia-Toulouse approach of condensation of charges and defects.Comment: 12 pages, accepted to PR

Podolsky electrodynamics from a condensation of topological defects

“…We demonstrated explicitly that in this case, one can generate a nonlocal generalization of the electrodynamics whose action is an infinite series in derivatives, so that one has, besides of the usual Maxwell term, also the Podolsky term, and higher-order terms. We showed explicitly that the Podolsky term can be generated as a quantum correction as well being finite, so, we can see that perturbative and non-perturbative approaches for obtaining new terms are equivalent in a certain sense as it has been claimed in [7]. Actually, we demonstrated that the Julia-Toulouse approach opens broad possibilities for obtaining new effective theories with higher-derivative operators.…”

“…The dual of the charge condensation described here is the dilution of the equivalent defects (vortices) in the superconductor. Meaning that if the vortices dilute (and charge condensation occurs), the system becomes a perfect superconductor as in (7) or if the vortices condensate (and charge dilution takes place) we recover the free Maxwell theory. As it is known, the superconductivity phase of a material can be destroyed by proliferation of vortices, and, as it is shown in [8], the picture presented here, describes this scenario.…”

One-loop photon’s effective action in the noncommutative scalar QED3

“…Although the majority of studies of Lorentz violating field theories is developed in a fourdimensional spacetime, there are considerable interest in the description of three-dimensional (3D) ones [11][12][13]. Besides the algebraic richness of odd dimensional spacetimes, one may say that the most appealing aspect of 3D field theories is the UV finiteness in some models.…”

Vanishing DC holographic conductivity from a magnetic monopole condensate

“…Thus, the condensation of topological defects constitutes a mass gap generation mechanism whose general signature is the so-called "rank jump phenomenon": a massless Abelian p-form describing the system in the phase with diluted defects gives place to a new effective massive (p + 1)-form describing the system in the condensed phase. Quevedo and Trugenberger refer to this as the "Julia-Toulouse mechanism" (JTM) and, more recently, some of us generalized the JTM in various aspects and applied it to many different physical systems [31][32][33][34][35][36][37][38][39][40][41].…”