Casimir effect for nucleon parity doublets

Abstract

Finite-volume effects for the nucleon chiral partners are studied within the framework of the parity-doublet model. Our model includes the vacuum energy shift for nucleons, which is the Casimir effect. We find that for the antiperiodic boundary the finite-volume effect leads to chiral symmetry restoration, and the masses of the nucleon parity doublets degenerate. For the periodic boundary, the chiral symmetry breaking is enhanced, and the masses of the nucleons also increase. We also discuss the finite-temperature effect and the dependence on the number of compactified spatial dimensions.

14 pages, 11 figures, 3 tables; published version

References in corpus (36)

• Quantum field theory in a magnetic field: From quantum chromodynamics to graphene and Dirac semimetals
• Light baryons below and above the deconfinement transition: medium effects and parity doubling
• Cold, dense nuclear matter in a SU(2) parity doublet model
• Thermodynamic Properties of Strongly Interacting Matter in a Finite Volume using the Polyakov-Nambu-Jona-Lasinio model
• Nucleons and parity doubling across the deconfinement transition
• On the scaling behavior of the chiral phase transition in QCD in finite and infinite volume
• Nuclear Matter and Neutron stars in a Parity Doublet Model
• Chiral symmetry restoration by parity doubling and the structure of neutron stars
• An effective model for the QCD phase transitions at finite baryon density
• 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
• Magnetic catalysis in nuclear matter
• Fluctuation of strongly interacting matter in Polyakov Nambu Jona-Lasinio model in finite volume
• Chiral Properties of Baryon Fields with Flavor SU(3) Symmetry
• The application of the Quark-Hadron Chiral Parity-Doublet Model to neutron star matter
• Level crossing of particle-hole and mesonic modes in eta mesic nuclei
• Neutron stars within the SU(2) parity doublet model
• Formation of eta-mesic nuclei by (pi,N) reaction and N^*(1535) in medium
• Nambu Jona Lasinio model with proper time regularization in a finite volume
• Net-baryon number fluctuations in the Hybrid Quark-Meson-Nucleon model at finite density
• Catalysis of partial chiral symmetry restoration by Delta matter
• Examination of $N^{\ast }(1535)$ as a probe to observe the partial restoration of chiral symmetry in nuclear matter
• Transport coefficients in a finite volume Polyakov--Nambu--Jona-Lasinio model
• Parity doubling of baryons in a chiral approach with three flavors
• Effects of volume corrections and resonance decays on cumulants of net-charge distributions in a Monte Carlo hadron resonance gas model
• Finite size effect of hadronic matter on its transport coefficients
• Chiral partner structure of light nucleons in an extended parity doublet model
• Baryon Fields with U_L(3) times U_R(3) Chiral Symmetry III: Interactions with Chiral (3,3_bar)+(3_bar,3) Spinless Mesons
• Influence of the axial anomaly on the decay $N(1535)\to N\eta$
• Finite-size effects on the Phase Structure of the Walecka Model
• Interplay between superconductivity and chiral symmetry breaking in a (2+1)-dimensional model with compactified spatial coordinate
• Baryon fields with $U_L(3)\times U_R(3)$ chiral symmetry V: Pion-Nucleon and Kaon-Nucleon $\Sigma$ Terms
• A novel Dual Chiral Density Wave in nuclear matter based on a parity doublet structure
• Relation between the mass modification of the heavy-light mesons and the chiral symmetry structure in dense matter
• Baryon parity doublets and chiralspin symmetry
• Quartet of spin-3/2 baryons in chiral multiplet $(1,1/2)\oplus (1/2,1)$ with mirror assignment

Cited by in corpus (21)

• Anisotropic pressure induced by finite-size effects in SU(3) Yang-Mills theory
• Toward a unified equation of state for multi-messenger astronomy
• Chiral symmetry restoration and the $\Delta$ matter formation in neutron stars
• Lattice-fermionic Casimir effect and topological insulators
• Casimir effect for lattice fermions
• Charged pion condensation in dense quark matter: Nambu--Jona-Lasinio model study
• Speed of sound and quark confinement inside neutron stars
• Fluctuations near the liquid-gas and chiral phase transitions in hadronic matter
• Novel pentaquark picture for singly heavy baryons from chiral symmetry
• Fluctuations and correlations of baryonic chiral partners
• Sensitivity of finite size effects to the boundary conditions and the vacuum term
• Interplay between chiral dynamics and repulsive interactions
• $D$ mesons as a probe of Casimir effect for chiral symmetry breaking
• Anatomy of critical fluctuations in hadronic matter
• Precise Phase Structure in Four-fermion Interaction Model on Torus
• Critical behaviour of an effective relativistic mean field model in the presence of magnetic background and boundaries
• Dual chiral density wave induced oscillating Casimir effect
• Effective model for pure Yang-Mills theory on ${\mathbb{T}}^2\times {\mathbb{R}}^2$ with Polyakov loops
• Novel first-order phase transition and critical points in SU(3) Yang-Mills theory with spatial compactification
• Finite size effect on Dissociation and Diffusion of chiral partners in Nambu-Jona-Lasinio model
• Finite size effects on the phase diagram and the baryon fluctuations via momentum space constraints