Finite-size effects on the Phase Structure of the Walecka Model

Abstract

In this work we investigate the finite-size effects on the phase structure of Walecka model within the framework of generalized Zeta-function, focusing on the influence of temperature as well as the number and length of compactified spatial dimensions. Here we concentrate on the situation of larger values of the coupling between the scalar and fermion fields, in which a phase transition of first order takes place. The phase transitions are analyzed and compared with the system in the situations of one, two and three compactified spatial dimensions. Our findings suggest that the thermodynamic behavior of the system depends on the length and number of spatial dimensions, with the symmetric phase being favored as the size of the system diminishes.

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References in corpus (36)

• The equation of state for nucleon matter and neutron star structure
• Microscopic Models for Ultrarelativistic Heavy Ion Collisions
• Recent Progress and New Challenges in Isospin Physics with Heavy-Ion Reactions
• Equations of state for supernovae and compact stars
• Strange Quark Matter and Compact Stars
• Relativistic Mean-Field Hadronic Models under Nuclear Matter Constraints
• Hadron properties in the nuclear medium
• Relativistic mean field interaction with density dependent meson-nucleon vertices based on microscopical calculations
• Chiral transition in a finite system and possible use of finite size scaling in relativistic heavy ion collisions
• Thermodynamic Properties of Strongly Interacting Matter in a Finite Volume using the Polyakov-Nambu-Jona-Lasinio model
• On the Phase Structure of QCD in a Finite Volume
• On the scaling behavior of the chiral phase transition in QCD in finite and infinite volume
• Hadronic and hybrid stars subject to density dependent magnetic fields
• Quantum field theory on toroidal topology: algebraic structure and applications
• Hot and dense hadronic matter in an effective mean field approach
• Relativistic Mean-Field Models with Scaled Hadron Masses and Couplings: Hyperons and Maximum Neutron Star Mass
• Finite-size effects on the phase structure of the Nambu-Jona-Lasinio model
• 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
• Finite-size effects on the chiral phase diagram of four-fermion models in four dimensions
• Finite size effects in the Gross-Neveu model with isospin chemical potential
• Finite-size effects in pion condensation phenomena of dense baryonic matter in the NJL${}_2$ model
• Constraining the symmetry energy content of nuclear matter from nuclear masses: a covariance analysis
• Interacting Fermions, Boundaries, and Finite Size Effects
• Cooper pairing and finite-size effects in a NJL-type four-fermion model
• omega-nucleus bound states in the Walecka model
• Influence of finite volume and magnetic field effects on the QCD phase diagram
• Polyakov--Nambu--Jona-Lasinio model in finite volumes
• Effects of volume corrections and resonance decays on cumulants of net-charge distributions in a Monte Carlo hadron resonance gas model
• Low density nuclear matter with light clusters in a generalized nonlinear relativistic mean-field model
• Interplay between superconductivity and chiral symmetry breaking in a (2+1)-dimensional model with compactified spatial coordinate
• Magnetic effects on spontaneous symmetry breaking/restoration in a toroidal topology
• Curvature and topological effects on dynamical symmetry breaking in a four- and eight-fermion interaction model
• SU(3) deconfining phase transition with finite volume corrections due to a confined exterior
• Finite volume corrections and low momentum cuts in the thermodynamics of quantum gases
• Phase transition of the nucleon-antinucleon plasma at different ratios

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