Liouville-Lifshitz theory in 3+1 dimensions

Abstract

We consider a four-dimensional theory in the z=3 Lifshitz context, with an exponential (Liouville) potential. We determine the exact renormalized potential of the theory and derive the non-perturbative relation between the renormalized and bare couplings. In addition, we show that Lorentz symmetry is naturally generated by quantum fluctuations in the infrared regime, and conclude that the model can be relevant to High Energy Physics.

References in corpus (19)

• Quantum Gravity at a Lifshitz Point
• Cosmology and the Fate of Dilatation Symmetry
• Membranes at Quantum Criticality
• Lorentz symmetry breaking as a quantum field theory regulator
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Cited by in corpus (21)

• Lifshitz-type Quantum Field Theories in Particle Physics
• Black Hole Solutions in 5D Horava-Lifshitz Gravity
• On the effective potential for Horava-Lifshitz-like theories
• Casimir Effect in Horava-Lifshitz-like theories
• Black hole solutions in Horava-Lifshitz Gravity with cubic terms
• Electrodynamics a la Horava
• Spherically symmetric solutions in Covariant Horava-Lifshitz Gravity
• Properties of a consistent Lorentz-violating Abelian gauge theory
• Lifshitz scalar fields: one loop renormalization in curved backgrounds
• On higher-order corrections in a four-fermion Lifshitz model
• 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
• Non-Linear Sigma Model and asymptotic freedom at the Lifshitz point
• Symmetry breaking and restoration in Lifshitz type theories
• Symmetry breaking and restoration for interacting scalar and gauge fields in Lifshitz type theories
• On one-loop corrections in the Horava-Lifshitz-like QED
• Dynamical mass generation in Lorentz-violating QED
• Emergent relativistic-like Kinematics and Dynamical Mass Generation for a Lifshitz-type Yukawa model
• On the gauge dependence of the effective potential for Horava-Lifshitz-like theories
• Effective potential for Lifshitz type z=3 gauge theories
• On the Adler-Bell-Jackiw anomaly in a Horava-Lifshitz-like QED