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(kAF)αof the SME are predicted to be zero. There are 15 degrees of freedom in the Lorentz violation matrixΔαβof free photons of the SMS related with the same number of degrees of freedom in the tensor coefficients(kF)αβμν, which are independent from each other in the minimal SME but are interrelated in the intersection of the SMS and the minimal SME. With the related degrees of freedom, we obtain the conservative constraints(2σ)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.
Highlights
Lorentz symmetry is one of the basic principles of modern physics, and it stands as one of the basic foundations of the standard model of particle physics
Through theoretical researches and recent available experiments on the Lorentz invariance violation (LIV or Lorentz symmetry violation (LV)), we can obtain a deeper insight into the nature of Lorentz symmetry and clarify these fundamental questions
The possible Lorentz symmetry violation (LV) effects have been investigated for decades from various theories, motivated by the unknown underlying theory of quantum gravity together with various phenomenological applications [1, 2]
Summary
Lorentz symmetry is one of the basic principles of modern physics, and it stands as one of the basic foundations of the standard model of particle physics. Among these theoretical investigations of Lorentz violation, it is a powerful framework to discuss various LV effects based on traditional techniques of effective field theory in particle physics It starts from the Lagrangian of the standard model and includes all possible terms containing the Lorentz violation effects. These relations define the boundary of the intersection of these two theories too.
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