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Inhomogeneous Condensates in the Thermodynamics of the Chiral NJL_2 model

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arxiv 0903.1868 v1 pith:F2WOXCZW submitted 2009-03-10 hep-th cond-mat.supr-conhep-lathep-ph

classification hep-thcond-mat.supr-conhep-lathep-ph
keywords chiralmodelphasecondensatecrystalcrystallinediagramequation
verification ladder T0 review T1 audit T2 compute T3 formal
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We analyze the thermodynamical properties, at finite density and nonzero temperature, of the (1+1)-dimensional chiral Gross-Neveu model (the NJL_2 model), using the exact inhomogeneous (crystalline) condensate solutions to the gap equation. The continuous chiral symmetry of the model plays a crucial role, and the thermodynamics leads to a broken phase with a periodic spiral condensate, the "chiral spiral", as a thermodynamically preferred limit of the more general "twisted kink crystal" solution of the gap equation. This situation should be contrasted with the Gross-Neveu model, which has a discrete chiral symmetry, and for which the phase diagram has a crystalline phase with a periodic kink crystal. We use a combination of analytic, numerical and Ginzburg-Landau techniques to study various parts of the phase diagram.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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  2. Constraining fermionic condensates

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    A large-volume approximant for the constrained fermionic path integral is derived and tested in the chiral Gross-Neveu model, showing the chiral condensate appears as the edge of a flat disk in the constraint potential.

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  4. Exotic phases in finite-density $\mathbb{Z}_3$ theories

    hep-ph 2024-11 conditional novelty 6.0 of 10

    Using approximate renormalization group methods, the authors map phase diagrams of Z3 spin and gauge models and find that only chiral spin models and their duals show an infinite Devil's flower family of inhomogeneous...

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