Fermionic condensate in de Sitter spacetime

Abstract

Fermionic condensate is investigated in $(D+1)$-dimensional de Sitter spacetime by using the cutoff function regularization. In order to fix the renormalization ambiguity for massive fields an additional condition is imposed, requiring the condensate to vanish in the infinite mass limit. For large values of the field mass the condensate decays exponentially in odd dimensional spacetimes and follows a power law decay in even dimensional spacetimes. For a massless field the fermionic condensate vanishes for odd values of the spatial dimension $D$ and is nonzero for even $D$. Depending on the spatial dimension the fermionic condensate can be either positive or negative. The change in the sign of the condensate may lead to instabilities in interacting field theories.

12 pages, 2 figures, to appear in Astrophysics

References in corpus (7)

• Fermionic Casimir effect in toroidally compactified de Sitter spacetime
• Fermionic condensate in a conical space with a circular boundary and magnetic flux
• Chiral gap effect in curved space
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Cited by in corpus (1)

• Topological effects in fermion condensate induced by cosmic string and compactification on AdS bulk