Dirac tachyons and antitachyons in many-particle system

TL;DR

This paper develops a thermodynamic framework for a charged many-tachyon system, incorporating axial density and exploring charge and axial density relations, with implications for understanding tachyonic particle systems.

Contribution

It introduces a consistent thermodynamic description of charged many-tachyon systems, emphasizing the role of axial density and charge conjugation invariance.

Findings

Axial density replaces <ψ̄ψ> in thermodynamic functions.

Charge conjugation invariance leads to equal chemical potentials for tachyons and antitachyons.

A link between electric charge density and axial density is established.

Abstract

A consistent description of charged many-tachyon Fermi system is developed. Tachyons and antitachyons have the same chemical potential \mu+=\mu- because the axial coupling constant g+=g- is invariant under the charge conjugation, in contrast to reversion of the electric charge e+=-e-. The axial density n5=<\psi^ \gamma 5 \psi> is incorporated in the thermodynamical functions instead of <\psi^ \psi> which is not associated with any conserved quantity. The number of tachyons and antitachyons are undefined but it is possible to estimate their difference and establish a link between the total electric charge density $en$ and $n5$.