Chiral Modulations in Curved Space II: Conifold Geometries

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.

14 pages; 4 figures

References in corpus (6)

• Self-consistent crystalline condensate in chiral Gross-Neveu and Bogoliubov-de Gennes systems
• Pion condensation of quark matter in the static Einstein universe
• Brane Induced Gravity: Codimension-2
• Chiral Phase Structure at Finite Temperature and Density in Einstein Universe
• Supersymmetric Nambu$-$Jona-Lasinio Model on $\mathcal{N}=1/2$ four-dimensional Non(anti)commutative Superspace
• Phase Structure of a Four- and Eight-Fermion Interaction Model at Finite Temperature and Chemical Potential in Arbitrary Dimensions

Cited by in corpus (10)

• Inhomogeneous charged pion condensation phenomenon in the NJL${}_2$ model with quark number and isospin chemical potentials
• Interacting Fermions, Boundaries, and Finite Size Effects
• Chiral gap effect in curved space
• Renormalized vs Nonrenormalized Chiral Transition in a Magnetic Background
• Symmetry Breaking and Lattice Kirigami
• Competition and duality correspondence between inhomogeneous fermion-antifermion and fermion-fermion condensations in the NJL${}_2$ model
• Symmetry breaking and lattice kirigami: finite temperature effects
• Geometrically induced magnetic catalysis and critical dimensions
• Dual Fermion Condensates in Curved Space
• Suppression of superconductivity by inhomogeneous chiral condensation in the NJL${}_2$ model