Lorentz Violation of the Photon Sector in Field Theory Models

TL;DR

This paper compares two field theory models, SME and SMS, focusing on Lorentz violation in the photon sector, establishing relations and constraints between their parameters, and suggesting experimental applications.

Contribution

It identifies the subset relation of SMS to SME photon sectors and derives constraints on Lorentz violation parameters from model intersection.

Findings

SME's CPT-odd coefficients are zero.

15 degrees of freedom in Lorentz violation matrices are inter-related.

Constraints on photon Lorentz violation elements are established.

Abstract

We compare the Lorentz violation terms of the pure photon sector between two field theory models, namely the minimal standard model extension (SME) and the standard model supplement (SMS). From the requirement of the identity of the intersection for the two models, we find that the free photon sector of the SMS can be a subset of the photon sector of the minimal SME. We not only obtain some relations between the SME parameters, but also get some constraints on the SMS parameters from the SME parameters. The CPT-odd coefficients $(k_{AF})^{\alpha}$ of the SME are predicted to be zero. There are 15 degrees of freedom in the Lorentz violation matrix $\Delta^{\alpha\beta}$ of free photons of the SMS related with the same number of degrees of freedom in the tensor coefficients $(k_F)^{\alpha\beta\mu\nu}$, which are independent from each other in the minimal SME, but are inter-related in the intersection of the SMS and the minimal SME. With the related degrees of freedom, we obtain the conservative constraints ($2\sigma$) on the elements of the photon Lorentz violation matrix. The detailed structure of the photon Lorentz violation matrix suggests some applications to the Lorentz violation experiments for photons.