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The critical behavior of the chiral quark-meson model is studied within the Functional Renormalization Group (FRG). We derive the flow equation for the scale dependent thermodynamic potential at finite temperature and density in the…

High Energy Physics - Phenomenology · Physics 2014-11-18 B. Stokic , B. Friman , K. Redlich

We present recent results on in-medium spectral functions of vector and axial-vector mesons, the electromagnetic (EM) spectral function and dilepton rates using the Functional Renormalization Group (FRG) approach. Our method is based on an…

High Energy Physics - Phenomenology · Physics 2019-03-05 Ralf-Arno Tripolt , Christopher Jung , Naoto Tanji , Lorenz von Smekal , Jochen Wambach

We explore the possibilities of using the fermionic functional renormalization group to compute the phase diagram of systems with competing instabilities. In order to overcome the ubiquituous divergences encountered in RG flows, we propose…

Strongly Correlated Electrons · Physics 2009-11-30 M. Ossadnik , C. Honerkamp

We present a method to obtain spectral functions at finite temperature from the Functional Renormalization Group. Our method is based on a thermodynamically consistent truncation of the flow equations for 2-point functions with analytically…

High Energy Physics - Lattice · Physics 2014-09-17 Ralf-Arno Tripolt , Nils Strodthoff , Lorenz von Smekal , Jochen Wambach

We find a uniform semiclassical (SC) wave function describing coherent branched flow through a two-dimensional electron gas (2DEG), a phenomenon recently discovered by direct imaging of the current using scanned probed microscopy. The…

Chaotic Dynamics · Physics 2009-11-07 Jiri Vanicek , Eric J. Heller

Calculations of the one-hole spectral function of 16O for small missing energies are reviewed. The self-consistent Green's function approach is employed together with the Faddeev equations technique in order to study the coupling of both…

Nuclear Theory · Physics 2016-09-08 C. Barbieri , W. H. Dickhoff

A formalism for electronic-structure calculations is presented that is based on the functional renormalization group (FRG). The traditional FRG has been formulated for systems that exhibit a translational symmetry with an associated Fermi…

Materials Science · Physics 2016-10-12 Christian Seiler , Ferdinand Evers

We derive an expansion of the functional renormalization (fRG) equations that treats the frequency and momentum dependencies of the vertices in a systematic manner. The scheme extends the channel-decomposed fRG equations to the frequency…

Strongly Correlated Electrons · Physics 2021-07-07 Nahom K. Yirga , David K. Campbell

The $SU(2)_A \times U(2)_V$-symmetric chiral linear sigma model in the presence of the axial anomaly is studied in the local-potential approximation of the Functional Renormalization Group (FRG). The renormalization group (RG) flow is…

High Energy Physics - Theory · Physics 2014-10-07 Mara Grahl , Dirk H. Rischke

The spectral function for an electron one-component plasma is calculated self-consistently using the GW0 approximation for the single-particle self-energy. In this way, correlation effects which go beyond the mean-field description of the…

Plasma Physics · Physics 2009-11-13 Carsten Fortmann

We employ the functional renormalization group approach formulated on the Schwinger-Keldysh contour to calculate real-time correlation functions in scalar field theories. We provide a detailed description of the formalism, discuss suitable…

High Energy Physics - Phenomenology · Physics 2020-11-18 Sven Huelsmann , Soeren Schlichting , Philipp Scior

A method of the self-consistent calculation of the thermodynamical and correlation functions is presented. This approach is based on the GRPA (generalized random phase approximation) scheme with the inclusion of the mean field corrections.…

Superconductivity · Physics 2016-08-31 I. V. Stasyuk , A. M. Shvaika , K. V. Tabunshchyk

We present a viable method to obtain real-time quantities such as spectral functions or transport coefficients at finite temperature and density within a non-perturbative Functional Renormalization Group approach. Our method is based on a…

High Energy Physics - Phenomenology · Physics 2014-12-10 Ralf-Arno Tripolt , Nils Strodthoff , Lorenz von Smekal , Jochen Wambach

We present a calculation of nuclear matter which goes beyond the usual quasi-particle approximation in that it includes part of the off-shell dependence of the self-energy in the self-consistent solution of the single-particle spectrum. The…

Nuclear Theory · Physics 2008-11-26 F. de Jong , H. Lenske

Renormalisation group approaches are tailor made for resolving the scale-dependence of quantum and statistical systems, and hence their phase structure and critical physics. Usually this advantage comes at the price of having to truncate…

High Energy Physics - Theory · Physics 2023-11-28 Friederike Ihssen , Jan M. Pawlowski

We compute non-perturbative spectral functions in a scalar $\phi^4$-theory in three spacetime dimensions via the spectral functional renormalisation group. This approach allows for the direct, manifestly Lorentz covariant computation of…

High Energy Physics - Theory · Physics 2023-03-30 Jan Horak , Friederike Ihssen , Jan M. Pawlowski , Jonas Wessely , Nicolas Wink

Functional renormalization group equations are analytically continued from imaginary Matsubara frequencies to the real frequency axis. On the example of a scalar field with O(N) symmetry we discuss the analytic structure of the flowing…

High Energy Physics - Theory · Physics 2012-08-20 Stefan Floerchinger

In this work we develop a nonlinear decomposition, associated with nonlinear eigenfunctions of the p-Laplacian for p \in (1, 2). With this decomposition we can process signals of different degrees of smoothness. We first analyze solutions…

Analysis of PDEs · Mathematics 2019-09-18 Ido Cohen , Guy Gilboa

I study the properties of the scalar sigma-meson [also referred to as f_0(600)] at nonzero temperature in the O(N)-model in the framework of the Cornwall-Jackiw-Tomboulis formalism. In the standard Hartree (or large-N) approximation one…

High Energy Physics - Phenomenology · Physics 2007-05-23 Dirk Roder

The parameter space of the Feigin-Fuks representations of the N=4 SU(2)$_k$ superconformal algebras is studied from the viewpoint of the specral flow. The $\eta$ phase of the spectral flow is nicely incorporated through twisted fermions and…

High Energy Physics - Theory · Physics 2009-10-30 Satoshi Matsuda