2003/02/26 by Simon Hands, John B. Kogut, Costas Strouthos +3 · 1 citation
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #hep-lat #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevd.68.016005
published as Phys.Rev. D68 (2003) 016005 · 33 pages, 16 figures
arxiv created 2003/02/26 · openalex publication_date 2003/07/11 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the Gross-Neveu model in 2+1 dimensions with a baryon chemical potential \ensuremathμ using both analytical and numerical methods. For \ensuremathμ greater than a critical value the model is chirally symmetric and has a Fermi surface with kF\ensuremath≃\ensuremathμ. We have calculated the particle interaction in medium due to scalar meson exchange to leading order in Nf^\ensuremath-1, where Nf is the number of flavors, in the hard dense loop approach. The result has been used to calculate the relation between \ensuremathμ and the Fermi momentum and velocity in the resulting Fermi liquid to O(Nf^\ensuremath-1). Simulation results from a 322\ifmmode×\else\texttimes\fi48 lattice for fermion and meson dispersion relations and meson wave functions are then presented, showing qualitative and in some cases quantitative agreement with analytic predictions. In particular, the simulations show clear evidence for the in-medium modification of the scalar propagator, oscillatory behavior in the wave function consistent with a sharp Fermi surface, and tentative evidence for a massless pole in the vector meson channel resembling zero sound.