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We study the Infra Red (IR) limit of dispersion relations for scalar andfermion fields in a Lifshitz-type Yukawa model, after dressing by quantumfluctuations. Relativistic-like dispersion relations emerge dynamically in theIR regime of the model, after quantum corrections are taken into account. Inthis regime, dynamical mass generation also takes place, but in such a way thatthe particle excitations remain massive, even if the bare masses vanish. Thegroup velocities of the corresponding massive particles of course are smallerthan the speed of light, in a way consistent with the IR regime where theanalysis is performed. We also comment on possible extensions of the modelwhere the fermions are coupled to an Abelian gauge field.

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