Curvature and topological effects on dynamical symmetry breaking in a four- and eight-fermion interaction model

Abstract

A dynamical mechanism for symmetry breaking is investigated under the circumstances with the finite curvature, finite size and non-trivial topology. A four- and eight-fermion interaction model is considered as a prototype model which induces symmetry breaking at GUT era. Evaluating the effective potential in the leading order of the 1/N-expansion by using the dimensional regularization, we explicitly calculate the phase boundary which divides the symmetric and the broken phase in a weakly curved space-time and a flat space-time with non-trivial topology, $R^{D-1}\otimes S^1$.

20 pages, 21 figures

References in corpus (4)

• Effects of eight-quark interactions on the hadronic vacuum and mass spectra of light mesons
• Finite-size effects on the phase structure of the Nambu-Jona-Lasinio model
• Pion condensation of quark matter in the static Einstein universe
• $\pi$ and $\sigma$ mesons at finite temperature and density in the NJL model with dimensional regularization

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• Finite-size effects on the Phase Structure of the Walecka Model
• Chiral Modulations in Curved Space II: Conifold Geometries
• $D$ mesons as a probe of Casimir effect for chiral symmetry breaking
• Space-time evolution induced by spinor fields with canonical and non-canonical kinetic terms
• Phase Structure of a Four- and Eight-Fermion Interaction Model at Finite Temperature and Chemical Potential in Arbitrary Dimensions