The 4D-2D projection of Lorentz-violating Myers-Pospelov QED

TL;DR

This paper explores the dimensional reduction of Lorentz-violating Myers-Pospelov QED from 4D to 2D, revealing new operators, defect structures, and radiative induction mechanisms in the lower-dimensional theory.

Contribution

It introduces a novel 2D theory derived from 4D Myers-Pospelov QED, including new Lorentz-violating operators and defect structures, and demonstrates their radiative induction.

Findings

New 2D scalar and fermionic Lorentz-violating operators identified.

Defect structures discovered in the 2D scalar sector.

Radiative induction of the 2D scalar sector from fermionic sector shown.

Abstract

We consider the four-dimensional quantum electrodynamics extended with Myers-Pospelov Lorentz-violating dimension-5 operators to investigate 4D-2D projection. In projecting out the 4D theory down to a 2D theory we get analogs of these operators. Namely, we obtain a new two-dimensional theory with corresponding scalar and fermionic 2D Myers-Pospelov Lorentz-violating dimension-3 operators. New defect structures can also be found from this new projected out 2D scalar sector. Furthermore, we also show that this 2D scalar sector can be also radiatively induced through the new 2D fermionic sector.