Application of the real-time temperature Green’s functions to chiral-symmetry breaking and restoration

Akiba, Tomoya

doi:10.1103/physrevd.36.1905

Cited by 9 publications

(12 citation statements)

References 38 publications

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“…In Refs. [7,9,10] and 8% against t F = 0.2 ∼ 0.6, respectively. These values of t F = 0.2 ∼ 0.6 correspond to those of the running coupling g 2 (p = k = 0) = 570 ∼ 92.6.…”

Section: Zero Chemical Potential Casementioning

confidence: 94%

“…[3,4,5,6] The Schwinger-Dyson equation in the improved ladder approximation is solved with further approximations and give the dynamical symmetry restoration. [7,8,9,10,11] Nambu-Jona-Lasinio models, as phenomenological models of QCD, provide us with useful pictures about the dynamical chiral symmetry breaking and its restoration. [12,13,14] In these three approaches it is indicated that there is a second order phase transition at (T, µ) = (T c , 0) and a first order one at (T, µ) = (0, µ c ) in the case of the two massless flavors.…”

Section: Introductionmentioning

confidence: 99%

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Chiral symmetry restoration at finite temperature and chemical potential in the improved ladder approximation

Taniguchi¹,

Yoshida²

1997

Phys. Rev. D

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The chiral symmetry of QCD is studied at finite temperature and chemical potential using the SchwingerDyson equation in the improved ladder approximation. We calculate three order parameters: the vacuum expectation value of the quark bilinear operator, the pion decay constant, and the quark mass gap. We have a second order phase transition at the temperature T c ϭ169 MeV along the zero chemical potential line, and a first order phase transition at the chemical potential c ϭ598 MeV along the zero temperature line. We also calculate the critical exponents of the three order parameters. ͓S0556-2821͑97͒03004-X͔

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“…In Refs. [7,9,10] and 8% against t F = 0.2 ∼ 0.6, respectively. These values of t F = 0.2 ∼ 0.6 correspond to those of the running coupling g 2 (p = k = 0) = 570 ∼ 92.6.…”

Section: Zero Chemical Potential Casementioning

confidence: 94%

Section: Introductionmentioning

confidence: 99%

Chiral symmetry restoration at finite temperature and chemical potential in the improved ladder approximation

Taniguchi¹,

Yoshida²

1997

Phys. Rev. D

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“…Here the spinor two-point function S 11 (p) is given by evaluating the 1-1 matrix element of the expression [6,7] iS ab (p) = V (β, p)…”

Section: Schwinger-dyson Equation At Finite Temperaturementioning

confidence: 99%

“…There have been several works dealing with this problem in quantum chromodynamics. There have, however, been not many works [6,7,8] which have studied this question by taking into account of the photon mass coming from the hard thermal loop. Thus we try to present the thorough analysis of the chiral phase transition in Abelian gauge theories at finite temperature with due consideration on the hard thermal loop by using the Schwinger-Dyson equation.…”

Section: Introductionmentioning

confidence: 99%

Structure of Chiral Phase Transitions at Finite Temperature in Abelian Gauge Theories

Fukazawa

Inagaki

Mukaigawa

et al. 2001

Progress of Theoretical Physics

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The mechanism of the chiral symmetry breaking is investigated in the strong-coupling Abelian gauge theories at finite temperature. The Schwinger-Dyson equation in Landau gauge is employed in the real time formalism and is solved numerically within the framework of the instantaneous exchange approximation including the effect of the hard thermal loop for the photon propagator. It is found that the chiral symmetry is broken below the critical temperature T for sufficiently large coupling α. The chiral phase transition is found to be of the 2nd order and the phase diagram on the T − α plane is obtained. It is investigated how the structure of the chiral phase transition is affected by the hard thermal loops in the photon propagator.

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“…(23) with respect to Σ(p E ) leads to Eq. (11) which is equivalent to the original equation (8) in the Higashijima-Miransky approximation apart from the two boundary conditions. We will take account of these conditions when we introduce the trial mass function.…”

Section: Effective Potential For the Quark Propagatormentioning

confidence: 99%

Current quark mass effects on the chiral phase transition of QCD in the improved ladder approximation

2001

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Current quark mass effects on the chiral phase transition of QCD is studied in the improved ladder approximation. An infrared behavior of the gluon propagator is modified in terms of an effective running coupling. The analysis is based on a composite operator formalism and a variational approach. We use the Schwinger-Dyson equation to give a "normalization condition" for the Cornwall-Jackiw-Tomboulis effective potential and to isolate the ultraviolet divergence which appears in an expression for the quark-antiquark condensate. We study the current quark mass effects on the order parameter at zero temperature and density. We then calculate the effective potential at finite temperature and density and investigate the current quark mass effects on the chiral phase transition. We find a smooth crossover for T > 0, µ = 0 and a first-order phase transition for µ > 0, T = 0. Critical exponents are also studied and our model gives the classical mean-field values. We also study the temperature dependence of masses of scalar and pseudoscalar bosons. A critical end point in the T -µ plane is found at T ∼ 100 MeV, µ ∼ 300 MeV.

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Application of the real-time temperature Green’s functions to chiral-symmetry breaking and restoration

Cited by 9 publications

References 38 publications

Chiral symmetry restoration at finite temperature and chemical potential in the improved ladder approximation

Chiral symmetry restoration at finite temperature and chemical potential in the improved ladder approximation

Structure of Chiral Phase Transitions at Finite Temperature in Abelian Gauge Theories

Current quark mass effects on the chiral phase transition of QCD in the improved ladder approximation

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