Chiral modulations in curved space II: Conifold geometries

研究成果: Article査読

13 被引用数 (Scopus)

抄録

In this paper, we extend our previous analysis concerning the formation of inhomogeneous condensates in strongly-coupled fermion effective field theories on curved spaces and include the case of conifold geometries that represent the simplest tractable case of manifolds with curvature singularities. In the set-up considered here, by keeping the genuine thermodynamical temperature constant, we may single out the role that curvature effects play on the breaking/restoration of chiral symmetry and on the appearance of inhomogeneous phases. The first goal of this paper is to construct a general expression of the finite temperature effective action for inhomogeneous condensates in the case of fourfermion effective field theories on conifold geometries with generic Riemannian smooth base (generalised cones). The other goal is to implement numerically the above formal results and construct self-consistent solutions for the condensate. We explicitly show that the condensate assumes a kink-like profile, vanishing at the singularity that is surrounded by a bubble of restored chiral symmetry phase.

本文言語English
論文番号023
ジャーナルJournal of High Energy Physics
2012
1
DOI
出版ステータスPublished - 2012
外部発表はい

ASJC Scopus subject areas

  • 核物理学および高エネルギー物理学

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