PoS - Proceedings of Science
Volume 396 - The 38th International Symposium on Lattice Field Theory (LATTICE2021) - Oral presentation
Remnants of large-$N_\mathrm{f}$ inhomogeneities in the 2-flavor chiral Gross-Neveu model
J. Lenz and M. Mandl*
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Pre-published on: May 16, 2022
Published on:
Abstract
We study the $(1+1)$-dimensional chiral Gross-Neveu model on the lattice. At finite density, analytic
mean-field results predict the existence of inhomogeneous condensates breaking both chiral
symmetry and spacetime symmetries spontaneously. We investigate the fate of these
inhomogeneities for two flavors and find remnant structural order, albeit with a decaying
amplitude. We also map out phase diagrams in the plane spanned by the chemical potential and
temperature for different lattice spacings and physical volumes. Finally, we comment on the
interpretation of our results in the light of various no-go theorems.
DOI: https://doi.org/10.22323/1.396.0415
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