Nonperturbative renormalization of a fermion mass term in the mass-independent renormalization scheme

Kusaka, K.; Toki, H.; Umisedo, S.

doi:10.1103/physrevd.59.116010

Cited by 8 publications

(9 citation statements)

References 34 publications

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“…By including a finite quark mass, we can study a more realistic situation where the chiral symmetry is explicitly broken. In the studies of SDE with the finite quark mass, it was known that there is a difficulty in removing a perturbative contribution from the quark condensate [19,26]. In the effective potential approach, however, we are free from such a difficulty.…”

Section: Discussionmentioning

confidence: 99%

Chiral phase transition at high temperature and density in the QCD-like theory

2000

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The chiral phase transition at finite temperature T and/or chemical potential µ is studied using the QCD-like theory with a variational approach. The "QCD-like theory" means the improved ladder approximation with an infrared cutoff in terms of a modified running coupling. The form of Cornwall-Jackiw-Tomboulis effective potential is modified by the use of the Schwinger-Dyson equation for generally nonzero current quark mass. We then calculate the effective potential at finite T and/or µ and investigate the phase structure in the chiral limit. We have a second-order phase transition at Tc = 129 MeV for µ = 0 and a first-order one at µc = 422 MeV for T = 0. A tricritical point in the T -µ plane is found at T = 107 MeV, µ = 210 MeV. The position is close to that of the random matrix model and some version of the Nambu-Jona-Lasinio model.

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Section: Discussionmentioning

confidence: 99%

Chiral phase transition at high temperature and density in the QCD-like theory

2000

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“…As discussed in Ref. [16,17], the perturbative contribution is quadratically divergent. We are interested in the purely nonpertubetive effect; therefore, we simply subtract the perturbative effect from Eq.…”

Section: Effective Potential For the Quark Propagatormentioning

confidence: 93%

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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“…This equation together with the quark equation has been used to study the nonperturbative mass-independent renormalization within the Dyson-Schwinger equation formalism [54].…”

Section: Brief Description Of the Global Color Model Of Qcdmentioning

confidence: 99%

Pion-nucleon sigma term in the global color model of QCD

2005

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We study the pion-nucleon sigma term in vacuum and in nuclear matter in the framework of global color model of QCD. With the effective gluon propagator being taken as the δ-function in momentum space of Munczek-Nomirovsky model, we estimate that the sigma term at chiral limit in the vacuum is 9/2 times the current quark mass and it decreases with the nuclear matter density.With the presently obtained in-medium pion-nucleon sigma term, we study the in-medium chiral quark condensate and obtain a reasonable variation behavior against the nuclear matter density.

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Nonperturbative renormalization of a fermion mass term in the mass-independent renormalization scheme

Cited by 8 publications

References 34 publications

Chiral phase transition at high temperature and density in the QCD-like theory

Chiral phase transition at high temperature and density in the QCD-like theory

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

Pion-nucleon sigma term in the global color model of QCD

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