Mass Renormalization in Lorentz-violating Scalar Field Theory

Abstract

In this work we evaluate the ${\gamma }_m$ function corresponding to mass renormalization for O($N$) scalar field theory with Lorentz violation. We calculate this function up to two-loop order for a theory renormalized utilizing the counterterm method in the minimal subtraction scheme with Feynman diagrams regularized using dimensional regularization.

11 pages

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• One-loop renormalization of Lorentz/CPT violating scalar field theory in curved space-time
• Renormalization group approach for Lorentz-violating scalar field theory at all loop orders
• Critical properties of scalar field theory with Lorentz violation: Exact treatment of Lorentz-violating mechanism
• Aharonov-Bohm effect for a fermion field in a planar black hole "spacetime"
• Vacuum contribution of photons in the theory with Lorentz and CPT-violating terms
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• Universality hypothesis breakdown at one-loop order
• Asymptotic single-particle states and exact Lorentz-violating all-loop quantum corrections for scalar field theory
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• Probing the two-scale-factor universality hypothesis by exact rotation symmetry-breaking mechanism
• Influence of exact Lorentz-violating mechanism on the critical exponents for massive $q$-deformed $\lambda {\varphi }^4$ scalar field theory
• Two-loop renormalization of the CPT-even Lorentz-violating Scalar QED
• Exact Lorentz-violating $q$-deformed O($N$) universality class