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Stability of homogeneous chiral phases against inhomogeneous perturbations in 2+1 dimensions

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arxiv 2211.04414 v1 pith:EBANY46D submitted 2022-11-08 hep-ph cond-mat.str-elhep-lat

Marc Winstel , Laurin Pannullo This is my paper · ORCID
classification hep-phcond-mat.str-elhep-lat
keywords inhomogeneousphaseschiraldimensionshomogeneousmodelsperturbationsstudied
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abstract

In this work, inhomogeneous chiral phases are studied in a variety of Four-Fermion and Yukawa models in $2+1$ dimensions at zero and non-zero temperature and chemical potentials. Employing the mean-field approximation, we do not find indications for an inhomogeneous phase in any of the studied models. We show that the homogeneous phases are stable against inhomogeneous perturbations. At zero temperature, full analytic results are presented.

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  1. Constraining fermionic condensates

    hep-lat 2024-12 conditional novelty 7.0 of 10

    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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