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Physical Review D

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Emergent relativistic-like kinematics and dynamical mass generation for a Lifshitz-type Yukawa model

J. Alexandre, N. E. Mavromatos, and D. Yawitch

King’s College London, Department of Physics, Theoretical Physics, London WC2R 2LS, UK

Phys. Rev. D 82, 125014 – Published 10 December, 2010

DOI: https://doi.org/10.1103/PhysRevD.82.125014

Abstract

We study the infrared (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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