Quantum aspects of antisymmetric tensor field with spontaneous Lorentz violation

Abstract

We study the quantization of a simple model of antisymmetric tensor field with spontaneous Lorentz violation in curved spacetime. We evaluate the 1-loop corrections at first order of metric perturbation, using a general covariant effective action approach. We revisit the issue of quantum equivalence, and find that it holds for non-Lorentz-violating modes but breaks down for Lorentz violating modes. * sandeepa16@iiserb.ac.in † sukanta@iiserb.ac.in

Dynamical Lorentz symmetry breaking in a tensor bumblebee model

“…Especially, it must be emphasized that the one-loop effective potential we have obtained displays a continuous set of minima both in tensor and pseudotensor cases, hence, in both these cases the spontaneous Lorentz symmetry breaking can occur. It is important to note that unlike the previous papers [15][16][17][18], in our paper, the constant antisymmetric second-rank pseudotensor has been introduced for the first time, which opens the way for constructing new Lorentz-breaking terms involving such a pseudotensor.…”

“…Although a systematic approach to this study has been proposed already in [14], up to now there are very few results obtained for higher-rank Lorentz-breaking tensor field models, with mostly tree-level aspects being considered, see f.e. [15][16][17][18].…”

Covariant quantum corrections to a scalar field model inspired by nonminimal natural inflation

“…Moreover, our implementation of this method using xAct packages for Mathematica [40,41] is fairly general in terms of its applicability to not only scalars coupled with gravity, but also vector and tensor fields (see, for instance, Ref. [42]). A caveat at this time, is that the perturbative expansions are performed about the Minkowski background and not a general metric background.…”

Note on stability and microcausality in Lorentz violating antisymmetric tensor field

“…The quantization procedure then involves the usual Faddeev-Popov method for all fields including Stückelberg field(s) for fixing the gauge. We skip the calculational details carried out elsewhere [25,26], and present the final gauge-fixed Lagrangian for the original theory (5),…”

“…( 5) with the Stückelberg procedure. Though, the result for propagator of B µν is unaffected since the additional term does not contribute [25,27].…”