Scalar susceptibility from the instanton vacuum with meson-loop corrections

Nam, Seung-il

doi:10.1103/physrevd.79.014008

Cited by 11 publications

(29 citation statements)

References 31 publications

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“…Hence we arrive at a model independent consequence of chiral symmetry and the pattern by which it is broken in QCD, namely, : Pseudo-scalar vacuum susceptibility and related quantities computed using the two kernels of the BSE described in connection with Eqs. (37) and (84), also similar to those of Table 1. Dimensioned quantities are listed in GeV, and all are taken from Ref.…”

Section: The Pseudo-scalar Vacuum Susceptibilitysupporting

confidence: 83%

Progress in vacuum susceptibilities and their applications to the chiral phase transition of QCD

et al. 2015

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The QCD vacuum condensates and various vacuum susceptibilities are all important parameters which characterize the nonperturbative properties of the QCD vacuum. In the QCD sum rules external field formula, various QCD vacuum susceptibilities play important roles in determining the properties of hadrons. In this paper, we review the recent progress in studies of vacuum susceptibilities together with their applications to the chiral phase transition of QCD. The results of the tensor, the vector, the axial-vector, the scalar, and the pseudo-scalar vacuum susceptibilities are shown in detail in the framework of Dyson-Schwinger equations.

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Section: The Pseudo-scalar Vacuum Susceptibilitysupporting

confidence: 83%

Progress in vacuum susceptibilities and their applications to the chiral phase transition of QCD

et al. 2015

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“…It is because that the u-quark condensate increases more rapidly than that for the d quark and the magnetic-catalysis effect is proportional to e 2 f as in Eq. (36). At the critical T, the values for the R diverge, signaling the second-order chiral phase transition.…”

Section: Ratio Of the Two-flavor Quark Condensates: Rmentioning

confidence: 99%

“…Here we use a standard functional method [36,39] to tackle the MLC corresponding to the large-N c corrections. Taking into account the mesonic fluctuations around their saddle-point values, one can write the EA via a standard functional method as follows: …”

Section: Ea With Mlc and B Fieldmentioning

confidence: 99%

“…Since the effects of the magnetic catalysis is proportional to e 2 f as in Eqs. (32) and (36), the M u grows rapidly more than the M d with respect to the external magnetic field, i.e. e 2 u > e 2 d .…”

Section: A Constituent-quark Mass For Each Flavor: M Fmentioning

confidence: 99%

“…Besides we also take into account the meson-loop corrections (MLC) for the SU (2) light-flavor sector as the large-N c corrections. MLC is essential to reproduce the correct current-quark mass dependence of relevant physical quantities [36] and universal-class chiral-restoration pattern at finite T [24].…”

Section: Introductionmentioning

confidence: 99%

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Chiral restoration at finiteTunder the magnetic field with the meson-loop corrections

Nam

Kao

2011

Phys. Rev. D

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We investigate the (partial) chiral restoration at finite temperature ðTÞ under the strong external magnetic field B ¼ B 0ẑ of the SU(2) light-flavor QCD matter. To this end, we employ the instantonliquid QCD vacuum configuration accompanied with the linear Schwinger method for inducing the magnetic field. The Harrington-Shepard caloron solution is used to modify the instanton parameters, i.e. the average instanton size ð " Þ and interinstanton distance ð " RÞ, as functions of T. In addition, we include the meson-loop corrections as the large-N c corrections because they are critical for reproducing the universal chiral-restoration pattern. We present the numerical results for the constituent-quark mass as well as chiral condensate, which signal the spontaneous breakdown of chiral-symmetry (SBS), as functions of T and B 0 . From our results we observe that the strengths of those chiral order parameters are enhanced with respect to B 0 due to the magnetic-catalysis effect. We also find that there appears a region where the u and d-quark constituent masses coincide with each other at eB 0 % ð7-9Þm 2 , even in the presence of the explicit isospin breaking (m u Þ m d ). The critical T for the chiral restoration T c tends to shift to the higher temperature in the presence of the B 0 for the chiral limit but keeps almost stationary for the physical quark mass case. The strength of the isospin breaking between the quark condensates is also explored in detail by defining the ratio R ðhiu y ui À hid y diÞ=ðhiu y ui þ hid y diÞ, which indicates the competition between the explicitly isospin-breaking effect and magnetic-catalysis effect. We also compute the pion weak-decay constant F and pion mass m below T c , varying the strength of the magnetic field, showing correct partial chiral-restoration behaviors. Besides we find that the changes for the F and m due to the magnetic field is relatively small, in comparison to those caused by the finite T effect.

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QCD Chiral Restoration at Finite T Under the Magnetic Field

Kao

Nam

2012

Few-Body Syst

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We investigate the chiral restoration at finite temperature (T ) under the strong external magnetic field B = B0ẑ of the SU(2) light-flavor QCD matter. We employ the instanton-liquid QCD vacuum configuration accompanied with the linear Schwinger method for inducing the magnetic field. The Harrington-Shepard caloron solution is used to modify the instanton parameters, i.e. the average instanton size (ρ) and inter-instanton distance (R), as functions of T . In addition, we include the meson-loop corrections (MLC) as the large-Nc corrections because they are critical for reproducing the universal chiral restoration pattern. We present the numerical results for the constituent-quark mass as well as chiral condensate which signal the spontaneous breakdown of chiral-symmetry (SBχS), as functions of T and B. Besides we find that the changes for the Fπ and mπ due to the magnetic field is relatively small, in comparison to those caused by the finite T effect.

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Scalar susceptibility from the instanton vacuum with meson-loop corrections

Cited by 11 publications

References 31 publications

Progress in vacuum susceptibilities and their applications to the chiral phase transition of QCD

Progress in vacuum susceptibilities and their applications to the chiral phase transition of QCD

Chiral restoration at finiteTunder the magnetic field with the meson-loop corrections

QCD Chiral Restoration at Finite T Under the Magnetic Field

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