2012/03/21 by Ernst Trojan, Trojan, Ernst
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Quantum, superfluid, helium dynamics #hep-ph
paper · pdf · doi:10.48550/arxiv.1203.5241
13 pages, 2 figures
openalex publication_date 2012/03/21 · arxiv created 2012/03/31 · arxiv updated 2012/04/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 ωμ results in tachyonic dispersion relation εp=√(p2+g2ω02-hpgω0-g σ⋅ ∇ ω0-m2) -g σ⋅ ω that depends on helicity h and spin σ. We apply the mean field approximation and find that there appears a vector condensate with finite average <ω0> depending on the tachyon density. The pressure and energy density of a many-tachyon system include the mean-field energy <εp> =√(p2+hpng2/M2+n2g4/M4-m2) which is real when the particle number density exceeds definite threshold which is n>mM2/g2 for right-handed and n>\frac 2√(3)mM2/g2 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 ω0 may lead to stabilization of tachyon matter if its density is large enough.