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Finite-Temperature Fermionic Casimir Effect in Horava-Lifshitz Theories

Computes the finite-temperature Casimir effect of a massless Lorentz-violating fermion field in the Horava-Lifshitz model obeying MIT bag boundary conditions on parallel plates. Using the generalized zeta function technique with the imaginary-time formalism, the Helmholtz free energy and Casimir pressure are obtained in closed form in the low- and high-temperature limits. For even critical exponent the free energy and pressure vanish in both limits; for odd critical exponent the pressure alternates between attractive and repulsive with the exponent, and thermal corrections always weaken the vacuum pressure.