Specific heat and entropy of tachyon Fermi gas

Abstract

We consider an ideal Fermi gas of tachyons and derive a low temperature expansion of its thermodynamical functions. The tachyonic specific heat is linear dependent on temperature $C_V=\epsilon_Fk_FT$ and formally coincides with the specific heat of electron gas if the tachyon Fermi energy is defined as $\epsilon_F=\sqrt{k_F-m^2}$.