Four-Fermion Interaction Model on $\mathcal{M}^{D-1} \otimes S^1$

@article{Inagaki2019FourFermionIM,
title={Four-Fermion Interaction Model on \$\mathcal\{M\}^\{D-1\} \otimes S^1\$},
author={Tomohiro Inagaki and Yamato Matsuo and Hiromu Shimoji},
journal={Symmetry},
year={2019},
volume={11},
pages={451}
}
• Published 2019
• Physics
• Symmetry
Four-fermion interaction models are often used as simplified models of interacting fermion fields with the chiral symmetry. The chiral symmetry is dynamically broken for a larger four-fermion coupling. It is expected that the broken symmetry is restored under extreme conditions. In this paper, the finite size effect on the chiral symmetry breaking is investigated in the four-fermion interaction model. We consider the model on a flat spacetime with a compactified spatial coordinate, M D − 1 ⊗ S… Expand
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References

SHOWING 1-10 OF 41 REFERENCES
Interplay between superconductivity and chiral symmetry breaking in a (2+1)-dimensional model with a compactified spatial coordinate
• Physics
• 2015
In this paper a (2+1)-dimensional model with four-fermion interactions is investigated in the case when one spatial coordinate is compactified and the space topology takes the form of an infiniteExpand
Phase structure of renormalizable four-fermion models in spacetimes of constant curvature.
• Physics, Medicine
• Physical review. D, Particles and fields
• 1996
A number of 2D and 3D four-fermion models which are renormalizable, in the 1/{ital N} expansion, in a maximally symmetric constant curvature space are investigated. To this purpose, a powerful methodExpand
Dynamical symmetry breaking in asymptotically free field theories
• Physics
• 1974
Two-dimensional massless fermion field theories with quartic interactions are analyzed. These models are asymptotically free. The models are expanded in powers of $\frac{1}{N,}$ where $N$ is theExpand
Soluble model of four-fermion interactions in de Sitter space.
• Physics, Medicine
• Physical review. D, Particles and fields
• 1995
The effective potential for a composite operator in the theory of four-fermion interactions with N-component fermions in de Sitter space is calculable in the leading order of the 1/N expansion for arbitrary space-time dimensions less than four. Expand
Dynamical symmetry breaking in four-fermion interaction models
• Physics
• 1991
Abstract Dynamical symmetry breaking in 4-fermion models in 2 + 1 dimensions is quantitatively studied. We use the 1/N expansion and show that these models are renormalizable in this framework, inExpand
Dynamical Symmetry Breaking in Curved Spacetime : Four-Fermion Interactions
• Physics
• 1997
This review deals with the theory of four-fermion interactions in curved spacetime. Starting with the D-dimensional Minkowski spacetime (2� D � 4) the effective potential in the leading order ofExpand
Dual Fermion Condensates in Curved Space
In this paper we compute the effective action at finite temperature and density for the dual fermion condensate in curved space with the fermions described by an effective field theory withExpand
Nonperturbative Casimir Effects in Field Theories:aspects of confinement, dynamical mass generationand chiral symmetry breaking
• Physics
• Proceedings of XIII Quark Confinement and the Hadron Spectrum — PoS(Confinement2018)
• 2019
The Casimir effect is a quantum phenomenon rooted in the fact that vacuum fluctuations of quantum fields are affected by the presence of physical objects and boundaries. Since the energy spectrum ofExpand
Phase structure of four-fermion theories at finite temperature and chemical potential in arbitrary dimensions
• Physics
• 1995
The phase structure of four-fermion theories is thoroughly investigated with varying temperature and chemical potential for arbitrary space-time dimensions (2≤D<4) by using the 1/N expansion method.Expand
Chiral symmetry breaking in a finite volume.
• Kim, Han, Koh
• Physics, Medicine
• Physical review. D, Particles and fields
• 1994
The critical lines, which separate the chirally symmetric phase from the broken phase, are obtained in terms of an infinite-volume fermion mass and system size for three types of boundary conditions. Expand