In this work we study the spatial-momentum dependence of mesonic spectral functions obtained from the quark-meson model using a recently proposed method to calculate real-time observables at finite temperature and density from the Functional Renormalization Group. This non-perturbative method is thermodynamically consistent, symmetry-preserving and based on an analytic continuation from imaginary to real time on the level of the flow equations for 2-point functions. Results on the spatial-momentum dependence of the pion and sigma spectral function are presented at different temperatures and densities, in particular near the critical endpoint in the phase diagram of the quark-meson model.
@article{arxiv.1408.3512,
title = {Flow equations for spectral functions at finite external momenta},
author = {Ralf-Arno Tripolt and Lorenz von Smekal and Jochen Wambach},
journal= {arXiv preprint arXiv:1408.3512},
year = {2014}
}