$D$ mesons as a probe of Casimir effect for chiral symmetry breaking

Abstract

We propose $D$ mesons as probes to investigate finite-volume effects for chiral symmetry breaking at zero and finite temperature. By using the $2+1$-flavor linear-sigma model with constituent light quarks, we analyze the Casimir effects for the $\sigma$ mean fields: The chiral symmetry is rapidly restored by the antiperiodic boundary for light quarks, and the chiral symmetry breaking is catalyzed by the periodic boundary. We also show the phase diagram of the $\sigma$ mean fields on the volume and temperature plane. For $D$ mesons, we employ an effective model based on the chiral-partner structure, where the volume dependence of $D$ mesons is induced by the $\sigma$ mean fields. We find that $D_s$ mesons are less sensitive to finite volume than $D$ mesons, which is caused by the insensitivity of ${\sigma }_s$ mean fields. An anomalous mass shift of $D$ mesons at high temperature with the periodic boundary will be useful in examinations with lattice QCD simulations. The dependence on the number of compactified spatial dimensions is also studied.

arXiv comment15 pages, 13 figures, 3 tables; published version

References in corpus (78)

• Chiral Multiplets of Heavy-Light Mesons
• Chiral Phase Transition within Effective Models with Constituent Quarks
• The Phase Diagram of the Quark-Meson Model
• Critical Points in the Linear Sigma Model with Quarks
• Chiral Dynamics and Heavy Quark Symmetry in a Toy Field Theoretic Model
• The three-flavor chiral phase structure in hot and dense QCD matter
• Charmed Mesic Nuclei: Bound D and $\bar{D}$ states with ^{208}Pb
• Mass modification of D-meson at finite density in QCD sum rule
• D Mesons in Nuclear Matter: A DN Coupled-Channel Equations Approach
• Chiral effective action with heavy quark symmetry
• Open charm in nuclear matter at finite temperature
• On Studying Charm in Nuclei through Antiproton Annihilation
• Heavy Hadrons in Nuclear Matter
• QCD sum rules for D and B mesons in nuclear matter
• Properties of D-mesons in nuclear matter within a self-consistent coupled-channel approach
• Mass modification of D-meson in hot hadronic matter
• Thermal Relaxation of Charm in Hadronic Matter
• Chiral transition in a finite system and possible use of finite size scaling in relativistic heavy ion collisions
• Open-charm systems in cold nuclear matter
• Fluctuations and the axial anomaly with three quark flavors
• On the scaling behavior of the chiral phase transition in QCD in finite and infinite volume
• Heavy meson chiral perturbation theory in finite volume
• D mesons in a magnetic field
• D mesons and charmonium states in asymmetric nuclear matter at finite temperatures
• Volume and Quark Mass Dependence of the Chiral Phase Transition
• D-mesons and charmonium states in hot isospin asymmetric strange hadronic matter
• Role of Fluctuations in the Linear Sigma Model with Quarks
• The Effect of Fluctuations on the QCD Critical Point in a Finite Volume
• In-medium modifications of open and hidden strange-charm mesons from spatial correlation functions
• Modification of the B Meson Mass in a Magnetic Field from QCD Sum Rules
• D-mesons in asymmetric nuclear matter
• The properties of D and D* mesons in the nuclear medium
• $\bar{\mathrm{D}}$ and $\mathrm{B}$ mesons in nuclear medium
• Casimir effect in Yang-Mills theory
• Heavy meson spectroscopy under strong magnetic field
• Chiral QCD sum rules for open charm mesons
• In-medium mass modifications of the $D_0$ and $B_0$ mesons with the QCD sum rules
• Charm and hidden charm scalar mesons in the nuclear medium
• D meson mass increase by restoration of chiral symmetry in nuclear matter
• Influence of quark boundary conditions on the pion mass in finite volume
• Anisotropic pressure induced by finite-size effects in SU(3) Yang-Mills theory
• $D$-mesons and charmonium states in hot pion matter
• D mesons in strongly magnetized asymmetric nuclear matter
• D mesons at finite temperature and density in the PNJL model
• The Casimir energy of a massive fermionic field confined in a d+1 dimensional slab-bag
• Analysis of the heavy mesons in the nuclear matter with the QCD sum rules
• Finite volume effects for nucleon and heavy meson masses
• Bayesian study of relativistic open and hidden charm in anisotropic lattice QCD
• More about the $B$ and $D$ mesons in nuclear matter
• Open charm meson in nuclear matter at finite temperature beyond the zero range approximation
• Chiral Doubling of Heavy-Light Hadrons and the Vector Manifestation of Hidden Local Symmetry
• Mass degeneracy of the heavy-light mesons with chiral partner structure in the half-skyrmion phase
• Cooper pairing and finite-size effects in a NJL-type four-fermion model
• Volume dependence of baryon number cumulants and their ratios
• Fate of charmed mesons near chiral symmetry restoration in hot matter
• Nonperturbative Casimir effect and monopoles: compact Abelian gauge theory in two spatial dimensions
• Open bottom mesons in asymmetric nuclear matter in presence of strong magnetic fields
• The Casimir effect and deconfinement phase transition
• Casimir effect for nucleon parity doublets
• Casimir effect on the lattice: U(1) gauge theory in two spatial dimensions
• Properties of open and hidden charm mesons in light quark matter
• The mass of heavy-light mesons in a constituent quark picture with partially restored chiral symmetry
• Wilson coefficients and four-quark condensates in QCD sum rules for medium modifications of $D$ mesons
• Spectral functions for $\bar{D}$ meson and ${\bar{D}}_0^{\ast }$ meson in nuclear matter with partial restoration of chiral symmetry
• Heavy-light mesons in the epsilon-regime
• $D$ and $D^{\ast }$ meson mixing in spin-isospin correlated cold nuclear matter
• Relation between the mass modification of the heavy-light mesons and the chiral symmetry structure in dense matter
• Analysis of mass modifications of the vector and axial-vector heavy mesons in the nuclear matter with the QCD sum rules
• Curvature and topological effects on dynamical symmetry breaking in a four- and eight-fermion interaction model
• Appearance of novel modes of $\bar{D}$ mesons in the Dual Chiral Density Wave
• Effect of in-medium spectral density of $D$ and $D^{\ast }$ mesons on the $J/\psi$ dissociation in hadronic matter
• Chiral-partner D mesons in a heat bath within QCD sum rules
• Correlations between light and heavy flavors near the chiral crossover
• Four-Fermion Interaction Model on ${\mathcal{M}}^{D-1}\otimes S^1$
• Spectral function for ${\bar{D}}_0^{\ast }$ $(0^{+})$ meson in isospin asymmetric nuclear matter with chiral partner structure
• Finite volume effects with stationary wave solution from Nambu--Jona-Lasinio model
• Nature of the D_0 meson in the D pi scattering with chiral symmetry
• Heavy Meson Masses in the ε-Regime of HMχPT

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