Thermodynamics of 
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 flavor Polyakov-loop quark-meson model under external magnetic field

Li, Xiang; Fu, Weijie; Liu, Yuxin

doi:10.1103/physrevd.99.074029

Cited by 24 publications

(6 citation statements)

References 167 publications

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“…[9,10] and further lattice QCD studies using improved discretization schemes [11][12][13][14]. Many model and theoretical studies have been performed to understand the (inverse) magnetic catalysis, reduction of T pc as well as their relations [7,[15][16][17][18][19][20][21][22][23][24][25][26]. Recently it has been suggested from lattice QCD studies that the IMC is not necessarily associated with the reduction of T pc as a function of eB by performing simulations with heavier-than-physical pions [27,28] and it is more like a deconfinement catalysis [29].…”

Section: Introductionmentioning

confidence: 99%

Chiral properties of (2+1)-flavor QCD in strong magnetic fields at zero temperature

Ding,

Li,

Tomiya

et al. 2020

Preprint

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We present lattice QCD results for masses and magnetic polarizabilities of light and strange pseudo-scalar mesons, chiral condensates, decay constants of neutral pion and neutral kaon in the presence of background magnetic fields with eB ranging up to around 3.35 GeV 2 (∼ 70 M 2 π ) in the vacuum. The computations were carried out in (2+1)-flavor QCD on 32 3 × 96 lattices using the Highly Improved Staggered Quarks (HISQ) action with Mπ ≈ 220 MeV at zero temperature. We find that the masses of neutral pseudo-scalar mesons monotonously decrease as the magnetic field strength grows and then saturate at a nonzero value, while there exists a non-monotonous behavior of charged pion and kaon masses in the magnetic field. We observe a qB scaling of the up and down quark flavor components of neutral pion mass, neutral pion decay constant as well as the quark chiral condensates at 0.05 eB 3.35 GeV 2 . We show that the next-to-leading order chiral correction to the Gell-Mann-Oakes-Renner relation involving neutral pion is less than 6% and the correction for the relation involving neutral kaon is in the range of (56-72)% at eB 3.35 GeV 2 . We also derive the Ward-Takahashi identities for QCD in the magnetic field in the continuum formulation including the relation between neutral pseudo-scalar meson correlators and chiral condensates.

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Section: Introductionmentioning

confidence: 99%

Chiral properties of (2+1)-flavor QCD in strong magnetic fields at zero temperature

Ding,

Li,

Tomiya

et al. 2020

Preprint

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“…Based on lattice QCD studies it is well-known that a strong magnetic field can bring interesting effects on QCD thermodynamics [18], phase diagram [19,20], transport properties [8] as well as hadron spectroscopy [17,[21][22][23]. In particular the inverse magnetic catalysis with a reduction of chiral crossover transition temperature T pc in external magnetic fields [18,[24][25][26] have triggered a lot of interests [27][28][29][30][31][32][33][34][35][36][37][38][39][40]. However, much less is known about the details on changes in degrees of freedom in QCD with an external magnetic field.…”

Section: Introductionmentioning

confidence: 99%

Fluctuations and correlations of net baryon number, electric charge and strangeness in a background magnetic field

Ding,

Li,

Shi

et al. 2021

Preprint

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We present results on the second-order fluctuations of and correlations among net baryon number, electric charge and strangeness in (2+1)-flavor lattice QCD in the presence of a background magnetic field. Simulations are performed using the tree-level improved gauge action and the highly improved staggered quark (HISQ) action with a fixed scale approach (a 0.117 fm). The light quark mass is set to be 1/10 of the physical strange quark mass and the corresponding pion mass is about 220 MeV at vanishing magnetic field. Simulations are performed on 32 3 × Nτ lattices with 9 values of Nτ varying from 96 to 6 corresponding to temperatures ranging from zero up to 281 MeV. The magnetic field strength eB is simulated with 15 different values up to ∼2.5 GeV 2 at each nonzero temperature. We find that quadratic fluctuations and correlations do not show any singular behavior at zero temperature in the current window of eB while they develop peaked structures at nonzero temperatures as eB grows. By comparing the electric charge-related fluctuations and correlations with hadron resonance gas model calculations and ideal gas limits we find that the changes in degrees of freedom start at lower temperatures in stronger magnetic fields. Significant effects induced by magnetic fields on the isospin symmetry and ratios of net baryon number and baryon-strangeness correlation to strangeness fluctuation are observed, which could be useful for probing the existence of a magnetic field in heavy-ion collision experiments.

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“…Here z is the free energy density and q is the electric charge. Aside from lattice QCD simulations [1][2][3][4][5][6][7][8][9][10][11][12][13], alternative approaches to study M and χ rely on the Nambu-Jona-Lasinio model and extensions thereof [14][15][16], on the hadron resonance gas (HRG) model [17][18][19], and on yet other techniques [20][21][22][23][24][25][26][27][28][29][30][31][32][33][34]. Remarkably, a systematic study of the magnetic susceptibility within chiral perturbation (CHPT) -i.e., the low-energy effective field theory of QCD -appears to be lacking.…”

Section: Introductionmentioning

confidence: 99%

Diamagnetic and Paramagnetic Phases in Low-Energy Quantum Chromodynamics

Hofmann

2021

Preprint

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While it is known that the QCD vacuum in a magnetic background exhibits both diamagnetic and paramagnetic characteristics in the lowenergy domain, a systematic investigation of the corresponding phases emerging in the pion-dominated regime is still lacking. Here, within twoflavor chiral perturbation theory, taking into account the pion-pion interaction, we analyze the subtle interplay between zero-and finite-temperature portions in the magnetization and magnetic susceptibility. The dependence of the magnetic susceptibility on temperature and magnetic field strength in the paramagnetic and diamagnetic phase is non-monotonic. Our low-energy analysis complements lattice QCD that is currently operating at higher temperatures and stronger magnetic fields.

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Thermodynamics of 2+1 flavor Polyakov-loop quark-meson model under external magnetic field

Cited by 24 publications

References 167 publications

Chiral properties of (2+1)-flavor QCD in strong magnetic fields at zero temperature

Chiral properties of (2+1)-flavor QCD in strong magnetic fields at zero temperature

Fluctuations and correlations of net baryon number, electric charge and strangeness in a background magnetic field

Diamagnetic and Paramagnetic Phases in Low-Energy Quantum Chromodynamics

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