ar X iv : h ep - l at / 0 40 60 18 v 1 1 1 Ju n 20
نویسنده
چکیده
We study the Nf -flavor Gross-Neveu model in 2+1 dimensions with a baryon chemical potential μ, using both analytical and numerical methods. In particular, we study the self-consistent Boltzmann equation in the Fermi liquid framework using the quasiparticle interaction calculated to O(1/Nf), and find solutions for zero sound propagation for almost all μ > μc, the critical chemical potential for chiral symmetry restoration. Next we present results of a numerical lattice simulation, examining temporal correlation functions of mesons defined using a point-split interpolating operator, and finding evidence for phonon-like behaviour characterised by a linear dispersion relation in the long wavelength limit. We argue that our results provide the first evidence for a collective excitation in a lattice simulation. PACS: 11.10.Kk, 11.15.Ha, 11.15.Pg, 21.65.+f, 67.80Cx
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