Influence of vector interactions on the favored shape of inhomogeneous chiral condensates

Carignano, Stefano; Schramm, Marco; Buballa, Michael

doi:10.1103/physrevd.98.014033

Cited by 15 publications

(10 citation statements)

References 25 publications

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“…Finally, we recall that, while our analysis focused on the lowest-order GL coefficients which are relevant for pinpointing the location of the CP and the (P)LP, it would also be interesting to work out higher-order coefficients, as they can give informations on the favored shape of the spatially modulated chiral condensate [16,17], as well as determine the phase boundary to the chirally restored phase [18].…”

Section: Discussionmentioning

confidence: 99%

Influence of quark masses and strangeness degrees of freedom on inhomogeneous chiral phases

Buballa¹,

Carignano²

2019

Proceedings of XIII Quark Confinement and the Hadron Spectrum — PoS(Confinement2018)

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Several model calculations of the QCD phase structure at nonzero temperature and density suggest that in certain regions of the phase diagram inhomogeneous condensates are favored over homogeneous ones. In particular, in a two-flavor NJL model in the chiral limit the would-be first-order boundary associated with the chiral phase transition is entirely covered by an inhomogeneous phase, characterized by a spatially modulated chiral condensate, whose tip coincides exactly with the chiral critical point. In this contribution we discuss how this result is altered by the inclusion of nonzero quark masses and strange quarks in the model.

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Section: Discussionmentioning

confidence: 99%

Influence of quark masses and strangeness degrees of freedom on inhomogeneous chiral phases

Buballa¹,

Carignano²

2019

Proceedings of XIII Quark Confinement and the Hadron Spectrum — PoS(Confinement2018)

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“…We investigated both Ansätze because in previous similar studies as in Refs. [1,2], the CDW has been used, but since then it has been found that the RKC is in most cases energetically preferred over the CDW Ansatz [8,23], at least for vanishing vector interactions [32].…”

Section: Resultsmentioning

confidence: 99%

“…There are several ways to continue research in this direction. The NJL model has already been studied in many variations, e.g., by adding further degrees of freedom, such as a vector-channel interactions and Polyakovloop dynamics [23,[32][33][34], or by including finite quarkmass effects [35] and considering isospin-asymmetric matter [20,36]. All these extensions could in principle also be studied together with color superconductivity.…”

Section: Resultsmentioning

confidence: 99%

Competition of inhomogeneous chiral phases and two-flavor color superconductivity in the NJL model

Lakaschus,

Buballa,

Rischke

2020

Preprint

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We study the phase structure of the two-flavor Nambu-Jona-Lasinio (NJL) model in the chiral limit, extending a previous study of the competition of an inhomogeneous chiral phase and a twoflavor color-superconducting (2SC) phase [1,2]. There, an analytic expression for the dispersion relations for quasiparticle excitations in the presence of both a particular inhomogeneous chiral condensate, the so-called chiral density wave (CDW), and a homogeneous 2SC condensate was found. In this work we show how to determine the dispersion relations for arbitrary modulations of the chiral condensate in the presence of a homogeneous 2SC condensate, if the dispersion relations in the absence of color superconductivity are known. In our calculations, we employ two different Ansätze for the inhomogeneous chiral condensate, the CDW as well as the real-kink crystal (RKC). Depending on the value of the diquark coupling we find a region of the phase diagram where the inhomogeneous chiral and the 2SC condensates coexist, confirming results of Refs. [1,2]. Decreasing the diquark coupling favors the inhomogeneous phase over the coexistence phase. On the other hand, increasing the diquark coupling leads to a larger 2SC phase, while the inhomogeneous chiral and the coexistence phases become smaller. In agreement with previous studies the RKC Ansatz is energetically preferred over the CDW Ansatz. Both Ansätze lead to a qualitatively similar phase diagram, however the coexistence phase is smaller for the RKC Ansatz.1 Phase coexistence between a homogeneous chiral and a 2SC color-superconducting phase has been found in Ref. [21].

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“…A similar description might also be possible by using the on-shell effective field theory that was recently proposed in Ref. [55].…”

Section: Theoretical Frameworkmentioning

confidence: 95%

Hydrodynamic modes in a magnetized chiral plasma with vorticity

2019

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By making use of a covariant formulation of the chiral kinetic theory in the relaxation-time approximation, we derive the first-order dissipative hydrodynamics equations for a charged chiral plasma with background electromagnetic fields. We identify the global equilibrium state for a rotating chiral plasma confined to a cylindrical region with realistic boundary conditions. Then, by using linearized hydrodynamic equations, supplemented by the Maxwell equations, we study hydrodynamic modes of magnetized rotating chiral plasma in the regimes of high temperature and high density. We find that, in both regimes, dynamical electromagnetism has profound effects on the spectrum of propagating modes. In particular, there are only the sound and Alfvén waves in the regime of high temperature, and the plasmons and helicons at high density. We also show that the chiral magnetic wave is universally overdamped because of high electrical conductivity in plasma that causes an efficient screening of charge fluctuations. The physics implications of the main results are briefly discussed.

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Influence of vector interactions on the favored shape of inhomogeneous chiral condensates

Cited by 15 publications

References 25 publications

Influence of quark masses and strangeness degrees of freedom on inhomogeneous chiral phases

Influence of quark masses and strangeness degrees of freedom on inhomogeneous chiral phases

Competition of inhomogeneous chiral phases and two-flavor color superconductivity in the NJL model

Hydrodynamic modes in a magnetized chiral plasma with vorticity

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