arXiv:hep-lat/0406018·v1·High Energy Physics — Lattice
Zero Lattice Sound
Simon Hands (University of Wales Swansea)🇬🇧 · Costas G. Strouthos (Frederick Institute of Technology, Nicosia)🇨🇾
Abstract
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.
Comments: 18 pages, 6 figures