Dirac tachyons and antitachyons in many-particle system

Abstract

A consistent description of charged many-tachyon Fermi system is developed. Tachyons and antitachyons have the same chemical potential μ+=μ- 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=<ψ^ γ5 ψ> is incorporated in the thermodynamical functions instead of <ψ^ ψ> 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 $n5$.

arXiv comment16 pages, 1 figure

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