Interweaving Chiral Spirals

Kojo, Toru; Hidaka, Yoshimasa; Fukushima, Kenji; McLerran, Larry; Pisarski, Robert D.

doi:10.48550/arxiv.1107.2124

Cited by 14 publications

(31 citation statements)

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“…Thus, while recalling that the model should not be trusted blindly in this density region, it is nevertheless remarkable that the same sequence of crystalline phases has been predicted in Ref. [123] for quarkyonic matter, cf. Sec.…”

Section: Favored Phase At High Densitiessupporting

confidence: 57%

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Inhomogeneous chiral condensates

Buballa

Carignano

2015

Progress in Particle and Nuclear Physics

241

258

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The chiral condensate, which is constant in vacuum, may become spatially modulated at moderately high densities where in the traditional picture of the QCD phase diagram a first-order chiral phase transition occurs. We review the current status of this idea, which originally dates back to Migdal's pion condensation, but recently received new momentum through studies on the nature of the chiral critical point and by the conjecture of a quarkyonic-matter phase. We discuss how these nonuniform phases emerge in generalized Ginzburg-Landau analyses as well as in specific calculations, both within effective models and in Dyson-Schwinger or large-N c approaches to QCD. Questions about the most favored shape of the modulations and its dimension, and about the effects of nonzero isospin chemical potential, strange quarks, color superconductivity, and external magnetic fields on these inhomogeneous phases will be addressed as well.

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Section: Favored Phase At High Densitiessupporting

confidence: 57%

“…For quarkyonic matter it was discussed by Kojo and collaborators in Refs. [122] and [123]. To first approximation, the condensate is then a superposition of several QCSs with wave vectors q i , which have all the same length ∼ 2µ but different directions.…”

Section: Interweaving Chiral Spiralsmentioning

confidence: 99%

Inhomogeneous chiral condensates

Buballa

Carignano

2015

Progress in Particle and Nuclear Physics

241

258

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“…Possible formation of inhomogeneous condensates has been discussed in various contexts of high energy physics. These include neutral pion condensates [15], charged pion condensates [16], color superconductors [17][18][19][20][21], chiral magnetic spiral in a strong magnetic field [22], crystal phases in (1 + 1)-dimensional QCD in the large N c limit [23], and spiral phases in the quarkyonic phase [24][25][26]. Inhomogeneous chiral condensates have also been studied extensively in the Gross-Neveau (GN) model with a discrete chiral symmetry [27][28][29][30][31] and also in the corresponding model with a continuous chiral symmetry, i.e.the (1 + 1)-dimensional NJL model in the large N limit [32].…”

Section: Introductionmentioning

confidence: 99%

“…The analyses were based on the Ginzburg-Landau (GL) functional expanded in the chiral order parameter and its spatial derivatives up to sixth order, which offers a minimal model-independent description of the QCD tricritical point in the chiral limit [33]. Despite the development in understanding the 1D modulated chiral condensate, only a few works have been devoted to exploring multidimensional modulations [26,34].…”

Section: Introductionmentioning

confidence: 99%

Crystalline chiral condensates off the tricritical point in a generalized Ginzburg-Landau approach

2012

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We present an extensive study on inhomogeneous chiral condensates in QCD at finite density in the chiral limit using a generalized Ginzburg-Landau (GL) approach. Performing analyses on higher harmonics of one-dimensionally (1D) modulated condensates, we numerically confirm the previous claim that the solitonic chiral condensate characterized by Jacobi's elliptic function is the most favorable structure in 1D modulations. We then investigate the possibility of realization of several multidimensional modulations within the same framework. We also study the phase structure far away from the tricritical point by extending the GL functional expanded up to the eighth order in the order parameter and its spatial derivative. On the same basis, we explore a new regime in the extended GL parameter space and find that the Lifshitz point is the point where five critical lines meet at once. In particular, the existence of an intriguing triple point is demonstrated, and its trajectory consists of one of those critical lines.

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“…Below we shortly highlight how to construct the ICS for the non-confining model in (2+1) dimensions, together with the parametric estimates of several effects. How to handle the corrections, relations with the previous works [8,9], etc., have been comprehensively discussed in a recent paper [11], so an interested reader should consult it for details.…”

mentioning

confidence: 99%