Regularization dependence on phase diagram in Nambu–Jona-Lasinio model

Kohyama, Hiroaki; Kimura, Daiji; Inagaki, Tomohiro

doi:10.1016/j.nuclphysb.2015.05.015

Cited by 59 publications

(58 citation statements)

References 51 publications

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“…On the other hand, the μ = 0 result of ref. 22 is more close to the lattice QCD calculation47. We stress that our quantitative results of Fig.…”

Section: Resultssupporting

confidence: 85%

“…(7) becomes w n 2 + 2 + M 2 − μ 2 + 2 iμw n . Then in addition to treating the imaginary part 2 iμw n we also have to determine if w n 2 + 2 + M 2 − μ 2 is positive or otherwise for each n and μ 22. Moreover, at the cases with T ≠ 0 and/or μ ≠ 0, since the previous O (4) symmetry is broken down to O (3), the system is no longer covariant, so we argue that in principle the fourth component of the momentum should be integrated out first, as in the three-momentum noncovariant cutoff regularization scheme, otherwise the UV cutoff should vary as some proper function of T and μ , which is more complicated and even impossible at present.…”

Section: Model and Methodsmentioning

confidence: 99%

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Proper time regularization and the QCD chiral phase transition

Cui

Zhang

Zong

2017

Sci Rep

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We study the QCD chiral phase transition at finite temperature and finite quark chemical potential within the two flavor Nambu–Jona-Lasinio (NJL) model, where a generalization of the proper-time regularization scheme is motivated and implemented. We find that in the chiral limit the whole transition line in the phase diagram is of second order, whereas for finite quark masses a crossover is observed. Moreover, if we take into account the influence of quark condensate to the coupling strength (which also provides a possible way of how the effective coupling varies with temperature and quark chemical potential), it is found that a CEP may appear. These findings differ substantially from other NJL results which use alternative regularization schemes, some explanation and discussion are given at the end. This indicates that the regularization scheme can have a dramatic impact on the study of the QCD phase transition within the NJL model.

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“…On the other hand, the μ = 0 result of ref. 22 is more close to the lattice QCD calculation47. We stress that our quantitative results of Fig.…”

Section: Resultssupporting

confidence: 85%

Section: Model and Methodsmentioning

confidence: 99%

Proper time regularization and the QCD chiral phase transition

Cui

Zhang

Zong

2017

Sci Rep

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“…Theoretically, the matter in the quark star is very dense and interacted so strong that the perturbative QCD is invalid here, and the "sign problem" in the lattice QCD (LQCD) makes it difficult to perform calculations at finite chemical potential. However, some effective models including the Dyson-Schwinger equations (DSEs) [12][13][14][15][16][17], the quantum electrodynamics in 2+1 dimensions (QED3) [12,[18][19][20], and the Nambu-Jona-Lasinio (NJL) model [21][22][23][24][25][26] are very useful in this scheme. In Refs.…”

Section: Introductionmentioning

confidence: 99%

Strange quark stars within proper time regularized ( 2+1 )-flavor NJL model

Zuo

Yan

et al. 2020

Phys. Rev. D

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In this work we use the equation of state (EOS) of (2+1)-flavor Nambu-Jona-Lasinio (NJL) model to study the structure of the strange quark star. With a new free parameter α, the Lagrangian is constructed by two parts, the original NJL Lagrangian and the Fierz transformation of it, asTo determine the range of α, we compare the binding energies in the 2-flavor and (2+1)-flavor cases. We also consider the constraints of chemical equilibrium and electric charge neutrality in the strange quark star and choose six representative EOSs with different α and B (bag constant) to study their influence on the structure of the strange quark star. As a result, we find that a smaller α or B corresponds to a heavier star with a stiffer EOS. Furthermore, the heaviest strange quark star is in agreement with both the recent mass observation of PSR J0740+6620 and the constraint on tidal deformability of GW170817.

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“…[48]. Namely, in [48] there are five sets of model parameters for proper-time regularization scheme which are fitted in favor of observable values of pion mass and weak pion decay constant. For convenience we present them in The important point of calculation is that integrand of S e f f contain singularities and one should specify how to deal with them.…”

Section: Numerical Resultsmentioning

confidence: 99%

Charged pion condensation in anti-parallel electromagnetic fields and nonzero isospin density *

2020

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The formation of charged pion condensate under parallel electromagnetic fields is studied within the two-flavor Nambu-Jona-Lasinio model. The technique of Schwinger proper time method is extended to explore the quantity locating in the off-diagonal flavor space, i.e., charged pion. We obtain the associated effective potential as a function of the strength of the electromagnetic fields and find out that it contains a sextic term which possibly induce weakly first order phase transition. Dependence of pion condensation on model parameters is investigated.

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Regularization dependence on phase diagram in Nambu–Jona-Lasinio model

Cited by 59 publications

References 51 publications

Proper time regularization and the QCD chiral phase transition

Proper time regularization and the QCD chiral phase transition

Strange quark stars within proper time regularized ( 2+1 )-flavor NJL model

Charged pion condensation in anti-parallel electromagnetic fields and nonzero isospin density *

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