Spectrum of $γ$-Fluids: A Statistical Derivation

Carrillo, J. A. E.; Lima, J. A. S.; Maia Jr, A.

Spectrum of $γ$-Fluids: A Statistical Derivation

Authors

Carrillo, J. A. E.

Lima, J. A. S.

Maia Jr, A.

Description

The spectrum of massless bosonic and fermionic fluids satisfying the equation of state $p=(γ-1)ρ$ is derived using elementary statistical methods. As a limiting case, the Lorentz invariant spectrum of the vacuum ($γ=0, p=-ρ$) is deduced. These results are in agreement with our earlier derivation for bosons using thermodynamics and semiclassical considerations.
7 pages, LaTex, no figures