Finite-size effects on the phase diagram of difermion condensates in two-dimensional four-fermion interaction models

Abstract

We investigate finite-size effects on the phase structure of chiral and difermion condensates at finite temperature and density in the framework of the two-dimensional large-$N$ Nambu-Jona-Lasinio model. We take into account size-dependent effects by making use of $zeta$-function and compactification methods. The thermodynamic potential and the gap equations for the chiral and difermion condensed phases are then derived in the mean-field approximation. Size-dependent critical lines separating the different phases are obtained considering anti-periodic boundary conditions for the spatial coordinate.

Revtex, 8 pages, 8 figures

References in corpus (2)

• Finite-size effects on the phase structure of the Nambu-Jona-Lasinio model
• Critical and Tricritical Points for the Massless 2d Gross-Neveu Model Beyond Large N

Cited by in corpus (31)

• Thermodynamic Properties of Strongly Interacting Matter in a Finite Volume using the Polyakov-Nambu-Jona-Lasinio model
• Quantum field theory on toroidal topology: algebraic structure and applications
• Thermodynamics and fluctuations of conserved charges in Hadron Resonance Gas model in finite volume
• Fluctuation of strongly interacting matter in Polyakov Nambu Jona-Lasinio model in finite volume
• Inhomogeneous charged pion condensation phenomenon in the NJL${}_2$ model with quark number and isospin chemical potentials
• Finite-size scaling as a tool in the search for the QCD critical point in heavy ion data
• Chiral density waves in the NJL${}_2$ model with quark number and isospin chemical potentials
• Finite-volume effects on phase transition in the Polyakov-loop extended Nambu-Jona-Lasinio model with a chiral chemical potential
• Finite-volume and magnetic effects on the phase structure of the three-flavor Nambu--Jona-Lasinio model
• Transport coefficients in a finite volume Polyakov--Nambu--Jona-Lasinio model
• Finite size effect of hadronic matter on its transport coefficients
• Polyakov--Nambu--Jona-Lasinio model in finite volumes
• Finite size effects in strongly interacting matter at zero chemical potential from Polyakov loop Nambu-Jona-Lasinio model in the light of lattice data
• Phase transition in the massive Gross-Neveu model in toroidal topologies
• Interplay between superconductivity and chiral symmetry breaking in a (2+1)-dimensional model with compactified spatial coordinate
• Superconducting phase transitions induced by chemical potential in (2+1)-dimensional four-fermion quantum field theory
• Boundary effects on constituent quark masses and on chiral susceptibility in a four-fermion interaction model
• Properties of size-dependent models having quasiperiodic boundary conditions
• Integrable Gross-Neveu models with fermion-fermion and fermion-antifermion pairing
• Nambu-Jona-Lasinio model in a sphere
• Spontaneous symmetry restoration in a field theory at finite chemical potential in a toroidal topology
• Properties of neutral mesons in a hot and magnetized quark matter: size-dependent effects
• Dimensional reduction of a finite-size scalar field model at finite temperature
• A note on the infrared behavior of the compactified Ginzburg--Landau model in a magnetic field
• Critical behaviour of an effective relativistic mean field model in the presence of magnetic background and boundaries
• A Model to Study Finite-Size and Magnetic Effects on the Phase Transition of a Fermion Interacting System
• Finite-size effects on the phase transition in a four- and six-fermion interaction model
• Quark deconfinement phase transition in nuclear matter for improved quark mass density-dependent model
• Feynman Amplitudes in Periodically Compactified Spaces -- Spin 0
• Finite-Size Effects on the Critical End Point of Magnetized Quark Matter in the Nonlocal PNJL Model
• Finite size effect on Dissociation and Diffusion of chiral partners in Nambu-Jona-Lasinio model