Interacting tachyon Fermi gas

Abstract

We consider a system of many fermionic tachyons coupled to a scalar, pseudoscalar, vector and pseudovector fields. The scalar and pseudoscalar fields are responsible for the effective mass, while the pseudovector field is similar to ordinary electromagnetic field. The action of vector field ${\omega }_{\mu }$ results in tachyonic dispersion relation ${\epsilon }_p=\sqrt{p^2+g^2{\omega }_0^2-hpg{\omega }_0-g\vec{\sigma }\cdot \nabla {\omega }_0-m^2}-g\vec{\sigma }\cdot \vec{\omega }$ that depends on helicity $h$ and spin $\vec{\sigma }$. We apply the mean field approximation and find that there appears a vector condensate with finite average $<{\omega }_0>$ depending on the tachyon density. The pressure and energy density of a many-tachyon system include the mean-field energy $<{\epsilon }_p>=\sqrt{p^2+hpn{g}^2/M^2+n^2{g}^4/M^4-m^2}$ which is real when the particle number density exceeds definite threshold which is $n>m{M}^2/g^2$ for right-handed and $n>\frac{2}{\sqrt{3}}m{M}^2/g^2$ for left-handed tachyons, while all tachyons are subluminal at high density. There is visible difference in the properties of right-handed and left-handed tachyons. Interaction via the vector field ${\omega }_0$ may lead to stabilization of tachyon matter if its density is large enough.

13 pages, 2 figures

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• Dynamics of dark energy
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Cited by in corpus (1)

• From Generalized Dirac Equations to a Candidate for Dark Energy