Zero Lattice Sound

Details Zero Lattice Sound Zero Lattice Sound

2004-06-11

arxiv.org/abs/hep-lat/0406018v1

Phys.Rev. D70 (2004) 056006

Physics

High Energy Physics

High Energy Physics - Lattice

18 pages, 6 figures

Scientific paper

10.1103/PhysRevD.70.056006

We study the N_f-flavor Gross-Neveu model in 2+1 dimensions with a baryon chemical potential mu, 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/N_f), and find solutions for zero sound propagation for almost all mu > mu_c, 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.

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