Emergent relativistic-like Kinematics and Dynamical Mass Generation for a Lifshitz-type Yukawa model

Abstract

We study the Infra Red (IR) limit of dispersion relations for scalar and fermion fields in a Lifshitz-type Yukawa model, after dressing by quantum fluctuations. Relativistic-like dispersion relations emerge dynamically in the IR regime of the model, after quantum corrections are taken into account. In this regime, dynamical mass generation also takes place, but in such a way that the particle excitations remain massive, even if the bare masses vanish. The group velocities of the corresponding massive particles of course are smaller than the speed of light, in a way consistent with the IR regime where the analysis is performed. We also comment on possible extensions of the model where the fermions are coupled to an Abelian gauge field.

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Cited by in corpus (10)

• On Lorentz violation in Horava-Lifshitz type theories
• Quantum-Gravity Induced Lorentz Violation and Dynamical Mass Generation
• On Higher Spatial Derivative Field Theories
• Spherically symmetric solutions in Covariant Horava-Lifshitz Gravity
• Properties of a consistent Lorentz-violating Abelian gauge theory
• Dynamical mass generation in Lorentz-violating QED
• A Lorentz-Violating Alternative to Higgs Mechanism?
• Anisotropic Lifshitz holography in Einstein-Proca theory with stable negative mass spectrum
• Lifshitz field theories, Snyder noncomutative space-time and momentum dependent metric
• Hamiltonian analysis for Lifshitz type Fields