Magnetic susceptibility of QCD matter and its decomposition from the lattice

Bali, Gunnar S.; Endrődi, Gergely; Piemonte, Stefano

doi:10.1007/jhep07(2020)183

Cited by 44 publications

(53 citation statements)

References 83 publications

(193 reference statements)

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“…The obtained value for X 2 is, in fact, in very good agreement with a precise lattice determination [56,57]. 13 No precise modern evaluation of m 2 0 can be found in the literature.…”

Section: Jhep10(2020)203supporting

confidence: 65%

Short-distance HLbL contributions to the muon anomalous magnetic moment beyond perturbation theory

Bijnens

Hermansson-Truedsson

Laub

et al. 2020

J. High Energ. Phys.

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The hadronic light-by-light contribution to the muon anomalous magnetic moment depends on an integration over three off-shell momenta squared ($$ {Q}_i^2 $$ Q i 2 ) of the correlator of four electromagnetic currents and the fourth leg at zero momentum. We derive the short-distance expansion of this correlator in the limit where all three $$ {Q}_i^2 $$ Q i 2 are large and in the Euclidean domain in QCD. This is done via a systematic operator product expansion (OPE) in a background field which we construct. The leading order term in the expansion is the massless quark loop. We also compute the non-perturbative part of the next-to-leading contribution, which is suppressed by quark masses, and the chiral limit part of the next-to-next-to leading contributions to the OPE. We build a renormalisation program for the OPE. The numerical role of the higher-order contributions is estimated and found to be small.

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“…The obtained value for X 2 is, in fact, in very good agreement with a precise lattice determination [56,57]. 13 No precise modern evaluation of m 2 0 can be found in the literature.…”

Section: Jhep10(2020)203supporting

confidence: 65%

Short-distance HLbL contributions to the muon anomalous magnetic moment beyond perturbation theory

Bijnens

Hermansson-Truedsson

Laub

et al. 2020

J. High Energ. Phys.

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show abstract

“…Interestingly, the left panel of figure 18 shows that as we go from the confined phase to the deconfined phase there is a transition between a diamagnetic behaviour to a paramagnetic behaviour. This result might be particular to this model, although recent lattice QCD results indicate a similar transition [106]. On the other hand, the right panel of figure 18 shows significant quantitative differences between our results and the lattice QCD results.…”

Section: Comparing the Magnetisation Against Lattice Qcdcontrasting

confidence: 49%

“…The lattice QCD formalism has been a powerful method for investigating magnetic catalysis (MC) and inverse magnetic catalysis (IMC), see e.g. [59,[103][104][105][106]. In this section we compare some of our results for the condensate and magnetisation at finite temperature with lattice QCD results.…”

Section: Comparison To Lattice Qcd and The Sakai-sugimoto Modelmentioning

confidence: 92%

Magnetic catalysis and the chiral condensate in holographic QCD

Ballon-Bayona

Shock

Zoakos

2020

J. High Energ. Phys.

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We investigate the effect of a non-zero magnetic field on the chiral condensate using a holographic QCD approach. We extend the model proposed by Iatrakis, Kiritsis and Paredes in [1] that realises chiral symmetry breaking dynamically from 5d tachyon condensation. We calculate the chiral condensate, magnetisation and susceptibilities for the confined and deconfined phases. The model leads, in the probe approximation, to magnetic catalysis of chiral symmetry breaking in both confined and deconfined phases. In the chiral limit, mq = 0, we find that in the deconfined phase a sufficiently strong magnetic field leads to a second order phase transition from the chirally restored phase to a chirally broken phase. The transition becomes a crossover as the quark mass increases. Due to a scaling in the temperature, the chiral transition will also be interpreted as a transition in the temperature for fixed magnetic field. We elaborate on the relationship between the chiral condensate, magnetisation and the (magnetic) free energy density. We compare our results at low and moderate temperatures with lattice QCD results.

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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%

“…The ln T term in Eq. 51was also derived in a recent article [45], where the authors have calculated the hightemperature expansion of the magnetic susceptibility of QCD matter with a physical quark mass, and the leadingorder term is just ln T with the same coefficient as ours. In a low-temperature limit, i.e., b → ∞, the magnetic susceptibility tends to zero, indicating that the system reaches the magnetic saturation state.…”

Section: Magnetization Intensity and Magnetic Susceptibilitymentioning

confidence: 52%

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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Magnetic susceptibility of QCD matter and its decomposition from the lattice

Cited by 44 publications

References 83 publications

Short-distance HLbL contributions to the muon anomalous magnetic moment beyond perturbation theory

Short-distance HLbL contributions to the muon anomalous magnetic moment beyond perturbation theory

Magnetic catalysis and the chiral condensate in holographic QCD

Thermodynamics of chiral fermion system in a uniform magnetic field

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