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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

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

We present results for in-medium spectral functions obtained within the Functional Renormalization Group framework. The analytic continuation from imaginary to real time is performed in a well-defined way on the level of the flow equations.…

High Energy Physics - Phenomenology · Physics 2017-12-07 Jochen Wambach , Christopher Jung , Fabian Rennecke , Ralf-Arno Tripolt , Lorenz von Smekal

In the framework of the functional renormalization group (FRG) we present a simple truncation scheme for the computation of real-time mesonic n-point functions, consistent with the derivative expansion of the effective action. Via analytic…

High Energy Physics - Phenomenology · Physics 2014-03-19 Kazuhiko Kamikado , Nils Strodthoff , Lorenz von Smekal , Jochen Wambach

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

Novel results for the self-consistent single-particle spectral function and self-energy are presented for non-degenerate one-component Coulomb systems at various densities and temperatures. The GW^0-method for the dynamical self-energy is…

Plasma Physics · Physics 2009-11-13 Carsten Fortmann

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 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 apply pseudo-spectral methods to integrate functional flow equations with high accuracy, extending earlier work on functional fixed point equations \cite{Borchardt:2015rxa}. The advantages of our method are illustrated with the help of…

High Energy Physics - Theory · Physics 2016-07-27 Julia Borchardt , Benjamin Knorr

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 paper we develop and compare different real-time methods to calculate spectral functions. These are classical-statistical simulations, the Gaussian state approximation (GSA), and the functional renormalization group (FRG) formulated…

High Energy Physics - Phenomenology · Physics 2022-06-23 Johannes V. Roth , Dominik Schweitzer , Leon J. Sieke , Lorenz von Smekal

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 first results on the calculation of fermionic spectral functions from analytically continued flow equations within the Functional Renormalization Group approach. Our method is based on the same analytic continuation from…

High Energy Physics - Phenomenology · Physics 2018-11-14 Ralf-Arno Tripolt , Johannes Weyrich , Lorenz von Smekal , Jochen Wambach

We calculate non-perturbative self-consistent fermionic and bosonic spectral functions of ultra-cold Fermi gases with the spectral functional approach. This approach allows for a direct real-time computation of non-perturbative correlation…

Quantum Gases · Physics 2024-06-10 Eugen Dizer , Jan Horak , Jan M. Pawlowski

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

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

We compute the low-energy limit of the $O(4)$-symmetric quark-meson model as an effective field theory for Quantum Chromodynamics within the Functional Renormalization Group (FRG) approach. In particular, we analyze the renormalization…

High Energy Physics - Phenomenology · Physics 2018-07-25 Jürgen Eser , Florian Divotgey , Mario Mitter , Dirk H. Rischke

Spectral functions within the generalized t-J model as relevant to cuprates are analyzed using the method of equations of motion for projected fermion operators. In the evaluation of the self energy the decoupling of spin and…

Strongly Correlated Electrons · Physics 2009-11-07 P. Prelovsek , A. Ramsak

This paper establishes a theory of nonlinear spectral decompositions by considering the eigenvalue problem related to an absolutely one-homogeneous functional in an infinite-dimensional Hilbert space. This approach is both motivated by…

Analysis of PDEs · Mathematics 2021-09-21 Leon Bungert , Martin Burger , Antonin Chambolle , Matteo Novaga

Using functional renormalization methods, we study the one-loop renormalization group evolution of theories with four scalars, at second order in the derivative expansion, in which electroweak symmetry is nonlinearly realized. In this…

High Energy Physics - Theory · Physics 2014-09-09 Mahmoud Safari

We develop a non-perturbative functional framework for computing real-time correlation functions in strongly correlated systems. The framework is based on the spectral representation of correlation functions and dimensional regularisation.…

High Energy Physics - Theory · Physics 2021-01-04 Jan Horak , Jan M. Pawlowski , Nicolas Wink
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