Derives the elastic two-body unitarity relation for anisotropic scalar fields with different sound speeds, verifies it at one loop in a quartic model, and shows anisotropy modifies the radiatively generated scalon mass while leaving the Gildener-Weinberg flat direction unchanged.
One-loop correction to the photon velocity in Lorentz-violating QED
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abstract
We calculate a finite momentum-dependent part of the photon polarization operator in a simple model of Lorentz-violating quantum electrodynamics nonperturbatively at all orders of Lorentz-violating parameters. We sum one-particle reducible diagrams into the modified photon propagator, and determine the physical photon dispersion relation as the location of its pole. The photon dispersion relation, as well as its group velocity, acquires the one-loop momentum-dependent radiative correction. We constrain the Lorentz-violating parameters for heavy charged fermions (muon, $\tau$-lepton, top-quark) from the photon timing observations.
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Disparity in sound speeds: implications for elastic unitarity and the effective potential in quantum field theory theory
Derives the elastic two-body unitarity relation for anisotropic scalar fields with different sound speeds, verifies it at one loop in a quartic model, and shows anisotropy modifies the radiatively generated scalon mass while leaving the Gildener-Weinberg flat direction unchanged.