Finite-size effects on the chiral phase diagram of four-fermion models in four dimensions

Abstract

We study the size dependence of the dynamical symmetry breaking in the four-dimensional Nambu-Jona-Lasinio model. We show that the presence of boundaries reduces the chiral breaking region, and this effect is strengthened for a larger number of compactified dimensions. A critical value for the length of the compactified dimensions exists, below which the dynamical symmetry breaking is not possible. Considering finite temperature and chemical potential, the chiral phase structure for the system with compactified dimensions is obtained. A gradual decreasing of the chiral breaking region with increasing of chemical potential is found. Also, at fixed chemical potential, the decreasing of the size of the system changes the order of the chiral phase transition.

LATEX 14 pages 2 figures

References in corpus (3)

• Finite-size effects on the phase structure of the Nambu-Jona-Lasinio model
• Forty-fifth anniversary of the Nambu-Jona-Lasinio model
• Finite-size effects on the QCD phase diagram

Cited by in corpus (33)

• On the scaling behavior of the chiral phase transition in QCD in finite and infinite volume
• Quantum field theory on toroidal topology: algebraic structure and applications
• Finite-size scaling as a tool in the search for the QCD critical point in heavy ion data
• Quantum fields in toroidal topology
• Finite-size effects on the phase diagram of difermion condensates in two-dimensional four-fermion interaction models
• Finite-size effects in pion condensation phenomena of dense baryonic matter in the NJL${}_2$ model
• Interacting Fermions, Boundaries, and Finite Size Effects
• Properties of the massive Gross-Neveu model with nonzero baryon and isospin chemical potentials
• Cooper pairing and finite-size effects in a NJL-type four-fermion model
• Finite-volume and magnetic effects on the phase structure of the three-flavor Nambu--Jona-Lasinio model
• Casimir effect for nucleon parity doublets
• Lattice-fermionic Casimir effect and topological insulators
• Casimir effect for lattice fermions
• Finite-size effects on the Phase Structure of the Walecka Model
• Phase transition in the massive Gross-Neveu model in toroidal topologies
• Magnetic effects on spontaneous symmetry breaking/restoration in a toroidal topology
• Boundary effects on constituent quark masses and on chiral susceptibility in a four-fermion interaction model
• Phase transition in the 3-D massive Gross-Neveu model
• Properties of size-dependent models having quasiperiodic boundary conditions
• Nambu-Jona-Lasinio model in a sphere
• 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
• Hot and dense gas of quark quasi-particles
• Critical behaviour of an effective relativistic mean field model in the presence of magnetic background and boundaries
• Inverse magnetic catalysis and size-dependent effects on the chiral symmetry restoration
• Casimir effect for fermion condensate in conical rings
• Topological effects in fermion condensate induced by cosmic string and compactification on AdS bulk
• Quark deconfinement phase transition in nuclear matter for improved quark mass density-dependent model
• Influence of external magnetic field, finite-size effects and chemical potential on the phase transition of a complex scalar field
• Topological Casimir effect for fermionic condensate in AdS spacetime with compact dimensions
• Feynman Amplitudes in Periodically Compactified Spaces -- Spin 0
• Finite size effect on Dissociation and Diffusion of chiral partners in Nambu-Jona-Lasinio model