Crystal point groups parametrize SME Lorentz-violating coefficients in electromagnetic media, turning birefringent and multiferroic crystals into analogs for high-energy symmetry violations.
Altschul, Phys
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abstract
Quantum corrections to Lorentz- and CPT-violating QED in flat spacetime produce unusual radiative corrections, which can be finite but of undetermined magnitude. The corresponding radiative corrections in a gravitational theory are even stranger, since the term in the fermion action involving a preferred axial vector $b^{\mu}$ would give rise to a gravitational Chern-Simons term that is proportional $b^{\mu}$, yet which actually does not break Lorentz invariance. Initially, the coefficient of this gravitational Chern-Simons term appears to have the same ambiguity as the coefficient for the analogous term in QED. However, this puzzle is resolved by the fact that the gravitational theory has more stringent gauge invariance requirements. Lorentz symmetry in a metric theory of gravity can only be broken spontaneously, and when the vector $b^{\mu}$ arises from spontaneous symmetry breaking, these specific radiative corrections are no longer ambiguous but instead must vanish identically.
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CPT-odd Lorentz-violating scalar QCD is multiplicatively renormalizable at one loop, with all divergences absorbed into existing counterterms and explicit beta functions obtained.
Review of radiative corrections in LV models highlighting convention issues, with one application of prior loop results to improve bounds on an SME fermion coefficient.
citing papers explorer
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Crystallography, Lorentz violation, and the Standard-Model Extension
Crystal point groups parametrize SME Lorentz-violating coefficients in electromagnetic media, turning birefringent and multiferroic crystals into analogs for high-energy symmetry violations.
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Perturbative Analysis of CPT-Odd Lorentz-Violating Scalar QCD
CPT-odd Lorentz-violating scalar QCD is multiplicatively renormalizable at one loop, with all divergences absorbed into existing counterterms and explicit beta functions obtained.
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Lorentz Violation and Radiative Corrections in Gauge Theories
Review of radiative corrections in LV models highlighting convention issues, with one application of prior loop results to improve bounds on an SME fermion coefficient.