Relativistic ideal Fermi gas at zero temperature and preferred frame

TL;DR

This paper examines the zero-temperature behavior of a relativistic ideal Fermi gas composed of luxons and tachyons, extending the understanding of such exotic particles in a preferred frame context.

Contribution

It provides an analysis of the T→0 limit for luxons and tachyons, highlighting differences from nonrelativistic cases and focusing on the relativistic regime with a preferred frame.

Findings

Zero-temperature limit for luxons analyzed

Tachyon behavior at zero temperature discussed

Differences from nonrelativistic Fermi gas identified

Abstract

We discuss the limit T->0 of the relativistic ideal Fermi gas of luxons (particles moving with the speed of light) and tachyons (hypothetical particles faster than light) based on observations of our recent paper: K. Kowalski, J. Rembielinski and K.A. Smolinski, Phys. Rev. D, 76, 045018 (2007). For bradyons this limit is in fact the nonrelativistic one and therefore it is not studied herein.