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Inhomogeneous condensation in effective models for QCD using the finite-mode approach

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arxiv 1508.06057 v2 pith:X2EZVURH submitted 2015-08-25 hep-ph hep-lat

classification hep-phhep-lat
keywords approachfinite-modeinhomogeneousmodelscondensationeffectivemodelphase
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abstract

We use a numerical method, the finite-mode approach, to study inhomogeneous condensation in effective models for QCD in a general framework. Former limitations of considering a specific ansatz for the spatial dependence of the condensate are overcome. Different error sources are analyzed and strategies to minimize or eliminate them are outlined. The analytically known results for $1+1$ dimensional models (such as the Gross-Neveu model and extensions of it) are correctly reproduced using the finite-mode approach. Moreover, the NJL model in $3+1$ dimensions is investigated and its phase diagram is determined with particular focus on the inhomogeneous phase at high density.

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  1. Lattice investigation of an inhomogeneous phase of the 2+1-dimensional Gross-Neveu model in the limit of infinitely many flavors

    hep-lat 2019-08 conditional novelty 5.0 of 10

    Numerical stability analysis of the 2+1d Gross-Neveu model in the large-Nf limit finds a triangular region in the temperature-chemical potential plane where the condensate is spatially modulated.

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