  In this paper we compute the high-temperature effective Lagrangian for the
quantum electrodynamics defined in the framework of Very Special Relativity
(VSR). The main aspect of the VSR setting is that it modifies the gauge
invariance, admitting now different types of interactions appearing in a
nonlocal form. In order to explore the richness of these new couplings, we
employ the usual Matsubara imaginary-time formalism to evaluate the effective
Lagrangian at one and two-loop order. We illustrate the leading VSR Lorentz
violation modifications by computing high-temperature internal energy density
and establishing a comparison with the expected contribution.
