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In this article we wish to present a new method to obtain spectral functions at finite temperature and density from the Functional Renormalization Group (FRG). The FRG offers a powerful non-perturbative tool to deal with phase transitions…

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

We present the first self-consistent direct calculation of a spectral function in the framework of the Functional Renormalization Group. The study is carried out in the relativistic $O(N)$ model, where the full momentum dependence of the…

High Energy Physics - Theory · Physics 2017-07-07 Nils Strodthoff

The self-energy of the critical 3-dimensional O(N) model is calculated. The analysis is performed in the context of the Non-Perturbative Renormalization Group, by exploiting an approximation which takes into account contributions of an…

Statistical Mechanics · Physics 2008-11-26 Federico Benitez , Ramon Mendez Galain , Nicolas Wschebor

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 study the renormalization group flow of the O(N) non-linear sigma model in arbitrary dimensions. The effective action of the model is truncated to fourth order in the derivative expansion and the flow is obtained by combining the…

High Energy Physics - Theory · Physics 2013-05-16 Raphael Flore , Andreas Wipf , Omar Zanusso

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

In this paper we explore practicable ways for self-consistent calculations of spectral functions from analytically continued functional renormalization group (aFRG) flow equations. As a particularly straightforward one we propose to include…

High Energy Physics - Phenomenology · Physics 2021-11-24 Christopher Jung , Jan-Hendrik Otto , Ralf-Arno Tripolt , Lorenz von Smekal

We first review the method to calculate the spectral functions in the functional renormalization group (FRG) approach, which has been recently developed. We also provide the numerical stability conditions given by the present authors for a…

High Energy Physics - Phenomenology · Physics 2016-11-22 Takeru Yokota , Teiji Kunihiro , Kenji Morita

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…

High Energy Physics - Phenomenology · Physics 2014-10-30 Ralf-Arno Tripolt , Lorenz von Smekal , Jochen Wambach

We consider the zero-dimensional O(N) vector model as a simple example to calculate n-point correlation functions using perturbation theory, the large-N expansion, and the functional renormalization group (FRG). Comparing our findings with…

Statistical Mechanics · Physics 2012-02-23 Jan Keitel , Lorenz Bartosch

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

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

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…

High Energy Physics - Phenomenology · Physics 2015-02-06 Ralf-Arno Tripolt , Nils Strodthoff , Lorenz von Smekal , Jochen Wambach

We present the first calculation of fermion spectral function at finite temperature in quark-meson model in the framework of the functional renormalization group (FRG). We compare the results in two truncations, after first evolving flow…

High Energy Physics - Phenomenology · Physics 2018-12-05 Ziyue Wang , Lianyi He

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 compute the critical exponents of the O(N) model within the Functional Renormalization Group (FRG) approach. We use recent advances which are based on the observation that the FRG flow equation can be put into the form of an…

High Energy Physics - Theory · Physics 2023-04-20 Fabrizio Murgana , Adrian Koenigstein , Dirk H. Rischke

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

We directly calculate spectral functions in the O(N)-model at finite temperature within the framework of the Functional Renormalization group. Special emphasis is put on a fully numerical framework involving four-dimensional regulators…

High Energy Physics - Theory · Physics 2018-10-17 Jan M. Pawlowski , Nils Strodthoff , Nicolas Wink

We discuss structural aspects of the functional renormalisation group. Flows for a general class of correlation functions are derived, and it is shown how symmetry relations of the underlying theory are lifted to the regularised theory. A…

High Energy Physics - Theory · Physics 2010-04-06 Jan M. Pawlowski

We construct exact functional renormalization group (RG) flow equations for non-relativistic fermions in arbitrary dimensions, taking into account not only mode elimination but also the rescaling of the momenta, frequencies and the…

Strongly Correlated Electrons · Physics 2009-11-07 Peter Kopietz , Tom Busche
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