Symmetry breaking and restoration in Lifshitz type theories

Abstract

We consider the one-loop effective potential at zero and finite temperature in scalar field theories with anisotropic space-time scaling. For $z=2$, there is a symmetry breaking term induced at one-loop at zero temperature and we find symmetry restoration through a first-order phase transition at high temperature. For $z=3$, we considered at first the case with a positive mass term at tree level and found no symmetry breaking effects induced at one-loop, and then we study the case with a negative mass term at tree level where we cannot conclude about symmetry restoration effects at high temperature because of the imaginary parts that appear in the effective potential for small values of the scalar field.

11 pages, 2 figures, version accepted in Physics Letters B

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Cited by in corpus (13)

• Hořava Gravity at a Lifshitz Point: A Progress Report
• Lifshitz-type Quantum Field Theories in Particle Physics
• On the effective potential for Horava-Lifshitz-like theories
• On Ward Identities in Lifshitz-like Field Theories
• Power-counting and Renormalizability in Lifshitz Scalar Theory
• On the effective potential for Horava-Lifshitz-like theories with the arbitrary critical exponent
• On the effective potential, Horava-Lifshitz-like theories and finite temperature
• Symmetry breaking and restoration for interacting scalar and gauge fields in Lifshitz type theories
• Lorentz breaking supersymmetry and Horava-Lifshitz-like models
• On the gauge dependence of the effective potential for Horava-Lifshitz-like theories
• Asymptotically free lattice gauge theory in five dimensions
• On the Bhabha scattering for $z=2$ Lifshitz QED
• Singularities of the Casimir Energy for Quantum Field Theories with Lifshitz Dimensions