Ralf-Arno Tripolt

Spectral Functions for the Quark-Meson Model Phase Diagram from the Functional Renormalization Group

We present a method to obtain spectral functions at finite temperature and density from the functional renormalization group. Our method is based on a thermodynamically consistent truncation of the flow equations for 2-point functions with analytically continued frequency components in the originally Euclidean external momenta. For the uniqueness of this continuation at finite temperature we furthermore implement the physical Baym-Mermin boundary conditions. We demonstrate the feasibility of the method by calculating the mesonic spectral functions in the quark-meson model along the temperature axis of the phase diagram, and at finite quark chemical potential along the fixed-temperature line that crosses the critical end point of the model.

Flow equations for spectral functions at finite external momenta

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.

In-medium spectral functions of vector- and axial-vector mesons from the functional renormalization group

In this work, we present the first results on vector- and axial-vector meson spectral functions as obtained by applying the nonperturbative functional renormalization group approach to an effective low-energy theory motivated by the gauged linear sigma model. By using a recently proposed analytic continuation method, we study the in-medium behavior of the spectral functions of the

Spectral functions and in-medium properties of hadrons

\ensuremath{\rho}

Spectral functions from the functional renormalization group

and

Spectral Functions from the Functional Renormalization Group

{a}_{1}

Finite-Temperature Spectral Functions from the Functional Renormalization Group

mesons in different regimes of the phase diagram. In particular, we demonstrate explicitly how these spectral functions degenerate at high temperatures as well as at large chemical potentials, as a consequence of the restoration of chiral symmetry. In addition, we also compute the momentum dependence of the

Spectral functions from the functional renormalization group at finite temperature and density

\ensuremath{\rho}

Low-temperature behavior of the quark-meson model

and

title

{a}_{1}