One-loop correction to the photon velocity in Lorentz-violating QED

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, τ lepton, and top quark) from the photon timing observations.

Top hadrons in Lorentz-violating field theory

“…These bounds, based on the absence of photon decay into unusual top-flavored hadrons, represent a major step forward in the analysis of top-sector Lorentz violation. The previous bound from [20], based on radiative corrections, can be seen as complementary to the collection of photon survival bounds derived from observations of different sources. In particular, [20] provides a two-sided bound on c TT , which is the one specific c μν t coefficient that cannot, even in principle, be constrained on both sides by the method discussed in this paper.…”

“…The previous bound from [20], based on radiative corrections, can be seen as complementary to the collection of photon survival bounds derived from observations of different sources. In particular, [20] provides a two-sided bound on c TT , which is the one specific c μν t coefficient that cannot, even in principle, be constrained on both sides by the method discussed in this paper. However, those results and these cannot be directly combined, since the analysis in [20] assumed rotational isotropy from the start.…”

“…In particular, [20] provides a two-sided bound on c TT , which is the one specific c μν t coefficient that cannot, even in principle, be constrained on both sides by the method discussed in this paper. However, those results and these cannot be directly combined, since the analysis in [20] assumed rotational isotropy from the start.…”

“…This will transfer any Lorentz violation in the charged matter sector to the photon sector, including the radiative generation of dimension-6 operators in the electromagnetic Lagrange density. An analysis of these higher-dimensional radiative corrections-generalizing earlier perturbative demonstrations of the one-loop renormalizability of the quantum electrodynamics (QED) sector of the minimal SME [19]-placed a bound on a dimension-4 SME operator in the t sector at the 10 −7 level, based on the relative arrival times of TeV γ-rays from an active galactic nucleus [20]. However, the calculations leading to this bound relied an an assumption of spatial isotropy.…”

New constraints on Lorentz Invariance violation from Crab Nebula spectrum beyond 100 TeV

“…The subluminal type of LV for photons (eq. (2), sign "−") may be induced by radiative corrections caused by any charged particle with nonzero LV operators of dimension 4 [18].…”