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.
Renormalization of scalar and Yukawa field theories with Lorentz violation
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abstract
We consider a theory of scalar and spinor fields, interacting through Yukawa and phi^4 interactions, with Lorentz-violating operators included in the Lagrangian. We compute the leading quantum corrections in this theory. The renormalizability of the theory is explicitly shown up to one-loop order. In the pure scalar sector, the calculations can be generalized to higher orders and to include finite terms, because the theory can be solved in terms of its Lorentz-invariant version.
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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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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.
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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.