Zero Lattice Sound

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.

18 pages, 6 figures

References in corpus (2)

• Numerical Portrait of a Relativistic BCS Gapped Superfluid
• Fermi Surface Phenomena in the (2+1)d Four-Fermi Model

Cited by in corpus (4)

• Truncated Schwinger-Dyson Equations and Gauge Covariance in QED3
• Chiral dynamics in QCD at finite chemical potential
• Collective excitations in a superfluid of color-flavor locked quark matter
• Can we study Quark Matter in the Quenched Approximation?