Quantum-Gravity Induced Lorentz Violation and Dynamical Mass Generation

TL;DR

This paper explores a Lorentz-violating extension of QED that can induce fermion mass generation, connecting it to quantum gravity models and brane-world scenarios, with implications for phenomenology and string theory.

Contribution

It extends previous LV QED models by analyzing gauge dependence, embedding into brane-world scenarios, and linking to string-inspired quantum gravity backgrounds.

Findings

Gauge dependence of dynamical mass addressed using Pinch Technique.

Embedding in brane-world scenarios can enhance fermion mass.

LV QED models relate to string theory effective actions.

Abstract

In Ref. [1] (by J. Alexandre) a minimal extension of (3+1)-dimensional Quantum Electrodynamics has been proposed, which includes Lorentz-Violation (LV) in the form of higher-(spatial)-derivative isotropic terms in the gauge sector, suppressed by a mass scale $M$. The model can lead to dynamical mass generation for charged fermions. In this article I elaborate further on this idea and I attempt to connect it to specific quantum-gravity models, inspired from string/brane theory. Specifically, in the first part of the article, I comment briefly on the gauge dependence of the dynamical mass generation in the approximations of [1], and I propose a possible avenue for obtaining the true gauge-parameter-independent value of the mass by means of Pinch Technique argumentations. In the second part of the work I embed the LV QED model into multibrane world scenarios with a view to provide a geometrical way of enhancing the dynamical mass to phenomenologically realistic values by means of bulk warp metric factors, in an (inverse) Randall-Sundrum hierarchy. Finally in the third part of this note, I demonstrate that such Lorentz Violating QED models may represent parts of a low-energy effective action (of Finsler-Born-Infeld type) of open strings propagating in quantum D0-particle stochastic space-time foam backgrounds, which are viewed as consistent quantum gravity configurations.