Dense baryon matter with isospin and chiral imbalance in the framework of a 
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 model at large 
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: Duality between chiral symmetry breaking and charged pion conden

Khunjua, T. G.; Klimenko, K. G.; Zhokhov, R. N.

doi:10.1103/physrevd.97.054036

Cited by 31 publications

(53 citation statements)

References 59 publications

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“…The dualities of the QCD phase diagram, in particular, the duality between chiral symmetry breaking and pion condensation phenomena has been found in the framework of the (1+1)-dimensional QCD motivated toy model in Reference [68][69][70][71]. Then it was shown to exist in the framework of effective models in References [26,97,[101][102][103][104][105].…”

Section: Discussionmentioning

confidence: 99%

Dense Baryonic Matter and Applications of QCD Phase Diagram Dualities

2020

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Recently it has been found that quantum chromodynamics (QCD) phase diagram possesses a duality between chiral symmetry breaking and pion condensation. For the first time this was revealed in the QCD motivated toy model. Then it was demonstrated in effective models as well and new additional dualities being found. We briefly recap the main features of this story and then discuss its applications as a tool to explore the QCD phase structure. The most appealing application is the possibility of getting the results on the QCD phase diagram at large baryon density. Taking the idea from large 1/Nc universalities it was argued that the scenario of circumventing the sign problem with the help of dualities seems plausible. It is also discussed that there is a persistent problem about whether there should be catalysis or anti-catalysis of chiral symmetry breaking by chiral imbalance. One can probably say that the issue is settled after lattice results (first principle approach), where the catalysis was observed. But they used an unphysically large pion mass so it is still interesting to get additional indications that this is the case. It is shown just by the duality property that there exists catalysis of chiral symmetry breaking. So, having in mind our results and the earlier lattice simulations, one can probably claim that this issue is settled. It is demonstrated that the duality can be used to obtain new results. As an example, it is showcased how the phase structure of dense quark matter with chiral imbalance (with possibility of inhomogeneous phases) can be obtained from the knowledge of a QCD phase diagram with isopin asymmetry.

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Section: Discussionmentioning

confidence: 99%

Dense Baryonic Matter and Applications of QCD Phase Diagram Dualities

2020

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“…Since the quark mass is renormalized multiplicatively, m r ¼ Zm, multiplicative divergence falls out in the combination m r ∂=∂m r ¼ m∂=∂m and the quantity mðhqqi − hqqi 0 Þ has a welldefined continuum limit. Other factors in the formula (6) are introduced in such way that the chiral condensate Σq q is 1 at μ ¼ 0 and 0 if the chiral symmetry is fully restored. To do it we also use the Gell-Mann-Oaks-Renner relation:…”

Section: Details Of the Calculationmentioning

confidence: 99%

“…Numerous lattice attempts to overcome the sign problem provide reliable information only in the region of small baryon density [2]. In the absence of straightforward results from lattice simulation of QCD, one applies different analytical approaches to study the ðμ; TÞ phase diagram: mean field approaches [3][4][5][6][7][8][9], the method of Dyson-Schwinger equations and the renormalization group [10][11][12][13], the large-N c approach [14], perturbative QCD [15,16] and others. Although the results obtained theoretically are important, it is rather difficult to estimate the reliability of these predictions.…”

Section: Introductionmentioning

confidence: 99%

Lattice study of thermodynamic properties of dense QC2D

et al. 2020

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In this paper we study thermodynamic properties of dense cold SUð2Þ QCD within lattice simulation with dynamical rooted staggered quarks which in the continuum limit correspond to N f ¼ 2 quark flavours. We calculate baryon density, renormalized chiral and diquark condensates for various baryon chemical potentials in the region μ ∈ ð0; 2000Þ MeV. It is found that in the region μ ∈ ð0; 540Þ MeV the system is well described by the ChPT predictions. In the region μ > 540 MeV the system becomes sufficiently dense and ChPT is no longer applicable to describe lattice data. For chemical potentials μ > 900 MeV we observe formation of the Fermi sphere, and the system is similar to the one described by the Bardeen-Cooper-Schrieffer theory where the diquarks play a role of Cooper pairs. In order to study how nonzero baryon density influences the gluon background we calculate chromoelectric and chromomagnetic fields, as well as the topological susceptibility. We find that the chromoelectric field and the topological susceptibility decrease, whereas the chromomagnetic field increases with rising of baryon chemical potential. Finally we study the equation of state of dense two-color quark matter.

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“…The applications of NJL model in recent years, has intensified in various problems of nuclear physics and a cosmology (see [13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29] and references therein). Of great interest is the generalization of the NJL model, which contains the quark confinement mechanism (the so-called Polyakov-loop extended Nambu-Jona-Lasinio model, or PNJL model; see, for example [22] and references therein).…”

Section: Introductionmentioning

confidence: 99%

Mean-Field Expansion, Regularization Issue, and Multi-Quark Functions in Nambu–Jona-Lasinio Model

2019

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In this paper, the results of the investigation of multi-quark equations in the Nambu–Jona-Lasinio (NJL) model in the mean-field expansion are presented. The multi-quark functions have been considered up to the third order of expansion. One of the purposes of our computations is the study of corrections of higher orders to parameters of the model. The important problem of the application of the NJL model is regularization. We compare the NJL model with 4-dimensional cutoff regularization and the dimensionally analytical regularization. We also discuss so-called “predictive regularization” in the NJL model, and a modification of this regularization, which is free of the Landau pole, is proposed. To calculate the high-order corrections, we use the Legendre transform method in the framework of bilocal-source formalism, which allows one effectively to take into consideration the symmetry constraints. A generalization of the mean-field expansion for other types of multi-quark sources is also discussed.

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Dense baryon matter with isospin and chiral imbalance in the framework of a NJL4 model at large Nc : Duality between chiral symmetry breaking and charged pion conden

Cited by 31 publications

References 59 publications

Dense Baryonic Matter and Applications of QCD Phase Diagram Dualities

Dense Baryonic Matter and Applications of QCD Phase Diagram Dualities

Lattice study of thermodynamic properties of dense QC2D

Mean-Field Expansion, Regularization Issue, and Multi-Quark Functions in Nambu–Jona-Lasinio Model

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