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.
Stability of homogeneous chiral phases against inhomogeneous perturbations in 2+1 dimensions
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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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Constraining fermionic condensates
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.