Phase Structure of Four-Fermion Theories at Finite Temperature and Chemical Potential in Arbitrary Dimensions

Abstract

The phase structure of four-fermion theories is thoroughly investigated with varying temperature and chemical potential for arbitrary space-time dimensions $(2\le D<4)$ by using the 1/N expansion method. It is shown that the chiral symmetry is restored in the theory under consideration for sufficiently high temperature and/or chemical potential. The critical line dividing the symmetric and broken phase is given explicitly. It is found that for space-time dimension $2\le D<3$ both the first-order and second-order phase transition occur depending on the value of temperature and chemical potential while for $3\le D<4$ only the second-order phase transition exists.

32 pages, uses LaTeX, here.sty(attached), eepic.sty, HUPD-9402 (some misprints corrected)

Cited by in corpus (51)

• Lattice QCD at Finite Density -- An introductory review
• From relativistic quantum fields to condensed matter and back again: Updating the Gross-Neveu phase diagram
• Four-fermion Interaction Model in a Constant Magnetic Field at Finite Temperature and Chemical Potential
• Quantum field theory on toroidal topology: algebraic structure and applications
• Finite-size effects on the phase structure of the Nambu-Jona-Lasinio model
• Inhomogeneous charged pion condensation phenomenon in the NJL${}_2$ model with quark number and isospin chemical potentials
• Finite-size effects on the chiral phase diagram of four-fermion models in four dimensions
• Chiral density waves in the NJL${}_2$ model with quark number and isospin chemical potentials
• Inhomogeneous charged pion condensation in chiral asymmetric dense quark matter in the framework of NJL${}_2$ model
• Finite-size effects in pion condensation phenomena of dense baryonic matter in the NJL${}_2$ model
• Interacting Fermions, Boundaries, and Finite Size Effects
• Charged pion condensation and duality in dense and hot chirally and isospin asymmetric quark matter in the framework of NJL${}_2$ model
• Pion condensation in the Gross-Neveu model with nonzero baryon and isospin chemical potentials
• Properties of the massive Gross-Neveu model with nonzero baryon and isospin chemical potentials
• High density quark matter in the NJL model with dimensional vs. cut-off regularization
• Thermodynamic Gross-Neveu model under constant electromagnetic field
• $\pi$ and $\sigma$ mesons at finite temperature and density in the NJL model with dimensional regularization
• Duality between chiral symmetry breaking and charged pion condensation at large $N_c$: Consideration of an NJL${}_2$ model with baryon-, isospin- and chiral isospin chemical potentials
• Chiral Symmetry Restoration at Finite Temperature and Chemical Potential in the Improved Ladder Approximation
• Charged pion condensation in dense quark matter: Nambu--Jona-Lasinio model study
• A Soluble Model of Four-Fermion Interactions in de Sitter Space
• Chiral Modulations in Curved Space I: Formalism
• Phase diagram of Nambu-Jona-Lasinio model with dimensional regularization
• Interplay between superconductivity and chiral symmetry breaking in a (2+1)-dimensional model with compactified spatial coordinate
• Absence of inhomogeneous chiral phases in 2+1-dimensional four-fermion and Yukawa models
• Superconducting phase transitions induced by chemical potential in (2+1)-dimensional four-fermion quantum field theory
• Nonet meson properties in Nambu--Jona-Lasinio model with dimensional versus cutoff regularization
• Temperature induced phase transitions in four fermion models in curved space-time
• Two-dimensional Lattice Gross-Neveu Model with Wilson Fermion Action at Finite Temperature and Chemical Potential
• Magnetic catalysis effect in (2+1)-dimensional Gross--Neveu model with Zeeman interaction
• Influence of QED Corrections on the Orientation of Chiral Symmetry Breaking in the NJL model
• Curvature and topological effects on dynamical symmetry breaking in a four- and eight-fermion interaction model
• Inhomogeneous condensation in the Gross-Neveu model in noninteger spatial dimensions $1\le d<3$. II. Nonzero temperature and chemical potential
• Inhomogeneous condensation in the Gross-Neveu model in noninteger spatial dimensions $1\le d<3$
• Chiral Modulations in Curved Space II: Conifold Geometries
• Superconductivity phenomenon induced by external in-plane magnetic field in (2+1)-dimensional Gross--Neveu type model
• Finite Density Effect in the Gross-Neveu Model in a Weakly Curved $R^1\times S^2$ Spacetime
• Nonet meson properties in Nambu-Jona-Lasinio model with dimensional regularization at finite temperature and chemical potential
• Relativistic Model of two-band Superconductivity in (2+1)-dimension
• Precise Phase Structure in Four-fermion Interaction Model on Torus
• NJL model in Four Dimension at Finite Temperature, Chemical Potentialand Curvature
• Spatially oscillating correlation functions in $\left(2+1\right)$-dimensional four-fermion models: The mixing of scalar and vector modes at finite density
• Regularization parameter independent analysis in Nambu-Jona-Lasinio model
• Four-Fermion Interaction Model on ${\mathcal{M}}^{D-1}\otimes S^1$
• Thermal Restoration of Chiral Symmetry in Supersymmetric Nambu-Jona-Lasinio Model with Soft SUSY Breaking
• Phase diagram of quark-antiquark and diquark condensates in the 3-dimensional Gross Neveu model with the 4-component spinor representation
• Affinity of NJL${}_2$ and NJL${}_4$ model results on duality and pion condensation in chiral asymmetric dense quark matter
• Phase Structure of a Four- and Eight-Fermion Interaction Model at Finite Temperature and Chemical Potential in Arbitrary Dimensions
• Note on thermodynamic fermion loop under constant magnetic field
• Pattern of Chiral Symmetry Restoration at Finite Temperature in A Supersymmetric Composite Model
• Symmetry structure and phase transitions