The magnetic susceptibility in QCD

Bonati, Claudio; D’Elia, Massimo; Mariti, Marco; Negro, Francesco; Sanfilippo, Francesco

doi:10.22323/1.187.0184

Cited by 8 publications

(11 citation statements)

References 9 publications

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“…In a low-temperature limit, i.e., b → ∞, the magnetic susceptibility tends to zero, indicating that the system reaches the magnetic saturation state. This is consistent with the numerical result of the lattice method for a QCD matter system [45,46].…”

Section: Magnetization Intensity and Magnetic Susceptibilitysupporting

confidence: 90%

Thermodynamics of chiral fermion system in a uniform magnetic field

et al. 2020

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We construct the grand partition function of the system of chiral fermions in a uniform magnetic field from Landau levels, through which all thermodynamic quantities can be obtained. Making use of the Abel-Plana formula, these thermodynamic quantities can be expanded as series with respect to a dimensionless variable b ¼ 2eB=T 2. We find that the series expansions of the energy density, pressure, magnetization intensity, and magnetic susceptibility contain a singular term with ln b 2 , while the particle number density, entropy density, and heat capacity are power series of b 2. The asymptotic behaviors of these thermodynamic quantities in extreme conditions are also discussed.

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Section: Magnetization Intensity and Magnetic Susceptibilitysupporting

confidence: 90%

Thermodynamics of chiral fermion system in a uniform magnetic field

et al. 2020

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“…Two groups have performed simulations in full QCD in the presence of a magnetic field ( [19][20][21] and [22][23][24][25][26], see also [27]). Both groups observe magnetic catalysis for temperatures in the confined phase.…”

Section: Introductionmentioning

confidence: 99%

Magnetic catalysis (and inverse catalysis) at finite temperature in two-color lattice QCD

et al. 2014

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Two-color lattice QCD with N f = 4 staggered fermion degrees of freedom (no rooting trick is applied) with equal electric charge q is studied in a homogeneous magnetic background field B and at non-zero temperature T . In order to circumvent renormalization as a function of the bare coupling we apply a fixed-scale approach. We study the influence of the magnetic field on the critical temperature. At rather small pseudo-scalar meson mass (mπ ≈ 175 MeV ≈ Tc(B = 0)) we confirm a monotonic rise of the quark condensate <ψψ > with increasing magnetic field strength, i.e. magnetic catalysis, as long as one is staying within the confinement or deconfinement phase. In the transition region we find indications for a non-monotonic behavior of Tc(B) at low magnetic field strength (qB < 0.8 GeV 2 ) and a clear rise at stronger magnetic field. The conjectured existence of a minimum value Tc(B * ) < Tc(B = 0) would leave a temperature window for a decrease of <ψψ > with rising B (inverse magnetic catalysis) also in the present model.

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“…Calculations on the lattices are a good method for study of the phase diagram of QCD in external magnetic field [4,5,6]. Numerical simulations in QCD with N f = 2 and N f = 2 + 1 show that strongly interacting matter in strong magnetic field posses paramagnetic properties in the confinement and deconfinement phases [7,8,9]. Equation of state for quark-gluon plasma in strong magnetic field was also investigated in [10].…”

Section: Introductionmentioning

confidence: 99%

Rho mesons in strong abelian magnetic field in SU(3) lattice gauge theory

Larina¹,

Luschevskaya²,

Кочетков³

2015

Proceedings of the 32nd International Symposium on Lattice Field Theory — PoS(LATTICE2014)

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We explore the masses (ground states energies) of neutral and charged ρ mesons in strong abelian magnetic field in SU(3) gluodynamics. The energies of these particle in the external magnetic field depends on its spin projection s z on the axis of external magnetic field. The masses of ρ 0 meson with s z = ±1 increase with the field. The masses of ρ ± mesons with zero spin also grow with the magnetic field. The ground state energies of ρ − meson with s z = −1 and ρ + meson with s z = +1 decrease as a function of the field, while the energies of ρ + meson with s z = −1 and ρ − meson with s z = +1 rise with the field value.

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The magnetic susceptibility in QCD

Cited by 8 publications

References 9 publications

Thermodynamics of chiral fermion system in a uniform magnetic field

Thermodynamics of chiral fermion system in a uniform magnetic field

Magnetic catalysis (and inverse catalysis) at finite temperature in two-color lattice QCD

Rho mesons in strong abelian magnetic field in SU(3) lattice gauge theory

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