Chiral density wave versus pion condensation in the (
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)-dimensional NJL model

Adhikari, Prabal; Andersen, Jens O.

doi:10.1103/physrevd.95.054020

Cited by 11 publications

(3 citation statements)

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“…In this phase, the pion condensate vanishes, implying that an inhomogeneous chiral condensate and a homogeneous pion condensate do not coexist. Similar conclusions have been drawn in studies of the 1 þ 1 dimensional NJL model [44,45]. Finally, the region to the right of red, blue, and green line segments is the symmetric phase, where Δ ¼ ρ ¼ q ¼ 0.…”

Section: B Inhomogeneous Chiral Condensate Versus Homogeneous Pion Csupporting

confidence: 62%

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Chiral density wave versus pion condensation at finite density and zero temperature

Andersen

Kneschke

2018

Phys. Rev. D

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The quark-meson model is often used as a low-energy effective model for QCD to study the chiral transition at finite temperature T, baryon chemical potential μ B , and isospin chemical potential μ I . We determine the parameters of the model by matching the meson and quark masses, as well as the pion decay constant to their physical values using the on shell (OS) and modified minimal subtraction (MS) schemes. In this paper, the existence of different phases at zero temperature is studied. In particular, we investigate the competition between an inhomogeneous chiral condensate and a homogeneous pion condensate. For the inhomogeneity, we use a chiral-density wave ansatz. For a sigma mass of 600 MeV, we find that an inhomogeneous chiral condensate exists only for pion masses below approximately 37 MeV. We also show that due to our parameter fixing, the onset of pion condensation takes place exactly at μ

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Section: B Inhomogeneous Chiral Condensate Versus Homogeneous Pion Csupporting

confidence: 62%

“…In particular, we extend certain aspects of earlier studies [40][41][42][43] by looking at the competition between an inhomogeneous chiral condensate and a homogeneous pion condensate. Studies of the competition between homogeneous and inhomogeneous condensates have been carried out in the 1 þ 1 dimensional NJL model in [44][45][46].…”

Section: Introductionmentioning

confidence: 99%

Chiral density wave versus pion condensation at finite density and zero temperature

Andersen

Kneschke

2018

Phys. Rev. D

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“…( 16), at large N these integrals are forced upon us by Eqs. (39) and (40), and there is no escape from a linear infrared divergence.…”

Section: B Z mentioning

confidence: 99%

How transverse thermal fluctuations disorder a condensate of chiral spirals into a quantum spin liquid

Pisarski,

Tsvelik,

Valgushev

2020

Preprint

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For a scalar theory with a global O(N ) symmetry, when N = 2 a spatially inhomogeneous condensate arises when the term in the Lagrangian with two spatial derivatives has a negative coefficient. If the condensate for such a chiral spiral includes only one mode, characterized by a momentum k 0 ẑ, then in perturbation theory at nonzero temperature the propagator for the static mode has a double pole when k 2 = k 2 0 . We conjecture that since chiral spirals spontaneously break both global and spacetime symmetries, that such double poles are a universal property of their static transverse modes. Fluctuations from double poles generate linear infrared divergences in any number of spatial dimensions and disorder the condensate of chiral spirals, analogous to a type of quantum spin liquid. The characteristic feature of this region is that over large spatial distances the two point function is the usual exponential times an oscillatory function. We establish this at large N and suggest that it occurs for all N > 2. Implications for fermion models and the phase diagram of QCD at nonzero density are discussed.

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Dualities and inhomogeneous phases in dense quark matter with chiral and isospin imbalances in the framework of effective model

Khunjua

Klimenko

Zhokhov

2019

J. High Energ. Phys.

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It has been shown in [9,45] in the framework of Nambu-Jona-Lasinio model with the assumption of spatially homogeneous condensates that in the large-Nc limit (Nc is the number of quark colours) there exist three dual symmetries of the thermodynamic potential, which describes dense quark matter with chiral and isospin imbalances. The main duality is between the chiral symmetry breaking and the charged pion condensation phenomena. There have been a lot of studies and hints that the ground state could be characterized by spatially inhomogeneous condensates, so the question arises if duality is a rather deep property of the phase structure or just accidental property in the homogeneous case. In this paper we have shown that even if the phase diagram contains phases with spatially inhomogeneous condensates, it still possesses the property of this main duality. Two other dual symmetries are not realized in the theory if it is investigated within an inhomogeneous approach to a ground state. Based on various previously studied aspects of the QCD phase diagram of dense isospin asymmetric matter with possible inhomogeneous condensates, in the present paper a unified picture and full phase diagram of dense quark matter with isospin imbalance have been assembled. Acting on this diagram by a dual transformation, we obtained, in the framework of an approach with spatially inhomogeneous condensates and without any calculations, a full phase diagram of chirally asymmetric dense medium. This example shows that the duality is not just entertaining mathematical property but an instrument with very high predictivity power. The obtained phase diagram is quite rich and contains various spatially inhomogeneous phases.

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Chiral density wave versus pion condensation in the ( 1+1 )-dimensional NJL model

Cited by 11 publications

References 50 publications

Chiral density wave versus pion condensation at finite density and zero temperature

Chiral density wave versus pion condensation at finite density and zero temperature

How transverse thermal fluctuations disorder a condensate of chiral spirals into a quantum spin liquid

Dualities and inhomogeneous phases in dense quark matter with chiral and isospin imbalances in the framework of effective model

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