Pith. sign in

REVIEW 2 cited by

Phase Diagram of the Gross-Neveu Model: Exact Results and Condensed Matter Precursors

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv hep-th/0402014 v4 pith:KVFAGMLR submitted 2004-02-02 hep-th cond-mat.supr-conhep-ph

Oliver Schnetz , Michael Thies , Konrad Urlichs This is my paper · ORCID
classification hep-thcond-mat.supr-conhep-ph
keywords phasediagrammodelcondensedequationgross-neveumatteranalytical
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

Recently the revised phase diagram of the (large N) Gross-Neveu model in 1+1 dimensions with discrete chiral symmetry has been determined numerically. It features three phases, a massless and a massive Fermi gas and a kink-antikink crystal. Here we investigate the phase diagram by analytical means, mapping the Dirac-Hartree-Fock equation onto the non-relativistic Schroedinger equation with the (single gap) Lame potential. It is pointed out that mathematically identical phase diagrams appeared in the condensed matter literature some time ago in the context of the Peierls-Froehlich model and ferromagnetic superconductors.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 2 Pith papers

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

  1. Functional renormalization of QCD in $1 + 1$ dimensions: four-fermion interactions from quark-gluon dynamics

    hep-ph 2024-12 conditional novelty 7.0 of 10

    First functional renormalization group study of two-dimensional QCD with a mass-like regulator, producing flow equations for the gauge coupling, quark mass, and a Fierz-complete set of four-fermion interactions.

  2. 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.

Pith tools