Modified approach for calculating axial vector vacuum susceptibility

Zong, Hong-Shi; Shi, Yanmeng; Sun, Weimin; Ping, J. L.

doi:10.1103/physrevc.73.035206

Cited by 19 publications

(12 citation statements)

References 60 publications

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“…To study the nature of the chiral phase transition, especially to determine the critical value of μ c at T c , people often employ various susceptibilities of QCD [73][74][75][76][77]. We can see from Fig.…”

Section: Dyson-schwinger Equations and An Effective Gluon Propagatormentioning

confidence: 99%

Chiral phase transition with a chiral chemical potential in the framework of Dyson-Schwinger equations

Cui

Wang

et al. 2015

Phys. Rev. D

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Within the framework of Dyson-Schwinger equations , we discuss the chiral phase transition of QCD with a chiral chemical potential μ 5 as an additional scale. We focus especially on the issues related to the widely accepted as well as interesting critical end point (CEP). With the help of a scalar susceptibility, we find that there might be no CEP 5 in the T − μ 5 plane, and the phase transition in the T − μ 5 plane might be totally crossover when μ < 50 MeV, which has apparent consistency with the lattice QCD calculation. Our study may also provide some useful hints to some other studies related to μ 5 .

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Section: Dyson-schwinger Equations and An Effective Gluon Propagatormentioning

confidence: 99%

Chiral phase transition with a chiral chemical potential in the framework of Dyson-Schwinger equations

Cui

Wang

et al. 2015

Phys. Rev. D

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“…(13), and finally computes χ (ζ ) from Eq. (15). For the calculation of χ (ζ ) one only requires the scalar vertex at P = 0, at which total momentum it has the general form…”

Section: Chiral Susceptibilitymentioning

confidence: 99%

Chiral susceptibility and the scalar Ward identity

et al. 2009

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The chiral susceptibility is given by the scalar vacuum polarisation at zero total momentum. This follows directly from the expression for the vacuum quark condensate so long as a nonperturbative symmetry preserving truncation scheme is employed. For QCD in-vacuum the susceptibility can rigorously be defined via a Pauli-Villars regularisation procedure. Owing to the scalar Ward identity, irrespective of the form or Ansatz for the kernel of the gap equation, the consistent scalar vertex at zero total momentum can automatically be obtained and hence the consistent susceptibility. This enables calculation of the chiral susceptibility for markedly different vertex Ansaetze. For the two cases considered, the results were consistent and the minor quantitative differences easily understood. The susceptibility can be used to demarcate the domain of coupling strength within a theory upon which chiral symmetry is dynamically broken. Degenerate massless scalar and pseudoscalar bound-states appear at the critical coupling for dynamical chiral symmetry breaking.Comment: 9 pages, 5 figures, 1 tabl

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“…By differentiating the dressed quark propagator with respect to the corresponding constant external field, the linear response of the nonperturbative dressed quark propagator to the constant external field can be obtained. Using this general method, we extract a rigorous and model-independent expression for the scalar, pseudoscalar, the vector, axial Vector, and the tensor vacuum Susceptibilities [25][26][27][28][29][30][31]. In this paper, we shall take the same strategy to study the staggered spin susceptibility in QED 3 .…”

Section: A Model-independent Integral Formula For the Staggered Smentioning

confidence: 99%

Influence of gauge boson mass on the staggered spin susceptibility

Feng-Yao

Cui

et al. 2014

Phys. Rev. D

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Based on the study of the linear response of the fermion propagator in the presence of an external scalar field, we calculate the staggered spin susceptibility in the low energy limit in the framework of the Dyson-Schwinger approach. We analyze the effect of a finite gauge boson mass on the staggered spin susceptibility in both Nambu phase and Wigner phase. It is found that the gauge boson mass suppresses the staggered spin susceptibility in Wigner phase. In addition, we try to give an explanation for why the antiferromagnetic spin correlation increases when the doping is lowered.Comment: 7 pages, 5 figures. arXiv admin note: text overlap with arXiv:1306.301

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Modified approach for calculating axial vector vacuum susceptibility

Cited by 19 publications

References 60 publications

Chiral phase transition with a chiral chemical potential in the framework of Dyson-Schwinger equations

Chiral phase transition with a chiral chemical potential in the framework of Dyson-Schwinger equations

Chiral susceptibility and the scalar Ward identity

Influence of gauge boson mass on the staggered spin susceptibility

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