Evidence
Same model and position · retrieved passages supplied · first output
In summary, the magnetized NJL model with Schwinger phases included yields a charged pion energy that grows monotonically with the magnetic field, whereas LQCD simulations report a nonmonotonic pion mass spectrum; the two-flavor NJL model with a magnetic-field-dependent coupling constant fitted to LQCD pion masses likewise produces nonmonotonic pseudo-critical temperatures, but cannot simultaneously reproduce the chiral restoration temperature and the light meson mass spectra.
Passages supplied to the Evidence version
Card 1 · LQCD constrained magnetic field dependent coupling constant in an effective model
A magnetic field dependent coupling constant $G(eB)$ is investigated in the two-flavor magnetized NJL model. Based on LQCD results of the neutral (charged) pion mass spectra at vanishing temperature and finite magnetic field, we determine the $G(eB)=G^0(eB)$ ($G(eB)=G^+(eB)$) in the NJL model. $G^0(…
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A magnetic field dependent coupling constant $G(eB)$ is investigated in the two-flavor magnetized NJL model. Based on LQCD results of the neutral (charged) pion mass spectra at vanishing temperature and finite magnetic field, we determine the $G(eB)=G^0(eB)$ ($G(eB)=G^+(eB)$) in the NJL model. $G^0(eB)$ and $G^+(eB)$ are both non-monotonic functions of magnetic fields, but they are different from each other. Furthermore, we calculate the pseudo-critical temperatures $T_{pc}(eB)$ of chiral restoration phase transition with $G^0(eB)$ and $G^+(eB)$ in the magnetized NJL model, respectively. The resulting $T_{pc}(eB)$ are non-monotonic functions of magnetic fields. In previous work, $G(eB)$ in the NJL model fitted from the chiral condensate or pseudo-critical temperature of LQCD simulations is a decreasing function of magnetic field. It can not explain the saturation behavior of mass spectra of neutral pion and decreasing behavior of mass spectra of charged pion with strong magnetic field. …
Card 2 · Charged meson masses under strong magnetic fields: Gauge invariance and Schwinger phases
We study the role of the Schwinger phase (SP) that appears in the propagator of a charged particle in the presence of a static and uniform magnetic field $\stackrel{\ensuremath{\rightarrow}}{B}$. We first note that this phase cannot be removed by a gauge transformation; far from this, we show that i…
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We study the role of the Schwinger phase (SP) that appears in the propagator of a charged particle in the presence of a static and uniform magnetic field $\stackrel{\ensuremath{\rightarrow}}{B}$. We first note that this phase cannot be removed by a gauge transformation; far from this, we show that it plays an important role in the restoration of the symmetries of the system. Next, we analyze the effect of SPs in the one-loop corrections to charged pion and rho meson self-energies. To carry out this analysis we consider first a simple form for the meson-quark interactions, and then we study the ${\ensuremath{\pi}}^{+}$ and ${\ensuremath{\rho}}^{+}$ propagators within the Nambu-Jona-Lasinio model, performing a numerical analysis of the $B$ dependence of meson lowest energy states. For both ${\ensuremath{\pi}}^{+}$ and ${\ensuremath{\rho}}^{+}$ mesons, we compare the numerical results arising from the full calculation---in which SPs are included in the propagators, and meson wave function …
Card 3 · Vector meson masses from a hidden local symmetry in a constant magnetic field
We discuss the magnetic responses of vector meson masses based on the hidden local symmetry (HLS) model in a constant magnetic field, described by the lightest two-flavor system including the pion, rho and omega mesons in the spectrum. The effective masses influenced under the magnetic field are eva…
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We discuss the magnetic responses of vector meson masses based on the hidden local symmetry (HLS) model in a constant magnetic field, described by the lightest two-flavor system including the pion, rho and omega mesons in the spectrum. The effective masses influenced under the magnetic field are evaluated according to the derivative or chiral expansion established in the HLS model. At the leading order $\mathcal{O}({p}^{2})$, the g factor of the charged rho meson is fixed to be 2, implying that the rho meson at this order is treated just like a pointlike spin-1 particle. Beyond the leading order, one finds anomalous magnetic interactions of the charged rho meson, involving the anomalous magnetic moment, which give corrections to the effective mass. It is then suggested that up to $\mathcal{O}({p}^{4})$ the charged rho meson tends to become massless. Of interest is that nontrivial magnetic dependence of neutral mesons emerges to give rise to the significant mixing among neutral mesons. …
Card 4 · Heavy quark potential and LQCD based quark condensate at finite magnetic field
Abstract In the present work, we have studied heavy quarkonia potential in hot and magnetized quark gluon plasma. Inverse magnetic catalysis (IMC) effect is incorporated within the system through the magnetic field modified Debye mass by modifying the effective quark masses. We have obtained the rea…
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Abstract In the present work, we have studied heavy quarkonia potential in hot and magnetized quark gluon plasma. Inverse magnetic catalysis (IMC) effect is incorporated within the system through the magnetic field modified Debye mass by modifying the effective quark masses. We have obtained the real and imaginary part of the heavy quark potential in this new scenario. After the evaluation of the binding energy and the decay width we comment about the dissociation temperatures of the heavy quarkonia in presence of magnetic field.
Card 5 · Magnetic polarizability of pion
We explore the energy dependence of π mesons off the background Abelian magnetic field on the base of quenched SU(3) lattice gauge theory and calculate the magnetic dipole polarizability of charged and neutral pions for various lattice volumes and lattice spacings. The contribution of the magnetic h…
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We explore the energy dependence of π mesons off the background Abelian magnetic field on the base of quenched SU(3) lattice gauge theory and calculate the magnetic dipole polarizability of charged and neutral pions for various lattice volumes and lattice spacings. The contribution of the magnetic hyperpolarizability to the neutral pion energy has been also found.
Model-reported card use
Card 1 · fact
Affected output: the two-flavor NJL model with a magnetic-field-dependent coupling constant fitted to LQCD pion masses likewise produces nonmonotonic pseudo-critical temperatures, but cannot simultaneously reproduce the chiral restoration temperature and the light meson mass spectra
Model explanation: This row supplied the specific limitation that a magnetic-field-dependent NJL coupling cannot jointly reproduce the chiral restoration temperature and light meson mass spectra, which the summary now reports.
Card 2 · scope
Affected output: the magnetized NJL model with Schwinger phases included yields a charged pion energy that grows monotonically with the magnetic field
Model explanation: This row clarified that the Schwinger-phase treatment distinguishes the full calculation from plane-wave schemes, which fixed the scope of the summary's first clause.