Flachi, Antonino (2012), "Chiral modulations in curved space II: conifold geometries", JOURNAL OF HIGH ENERGY PHYSICS, 1.
Abstract: 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
four-fermion 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.
Keywords: Thermal Field Theory; Spacetime Singularities; Chiral Lagrangians;
Renormalization Regularization and Renormalons
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