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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 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 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 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

We study the phase diagram of two-flavor massless QCD at finite baryon density by applying the functional renormalization group (FRG) for a quark-meson model with $\sigma, \pi$, and $\omega$ mesons. The dynamical fluctuations of quarks,…

High Energy Physics - Phenomenology · Physics 2018-01-09 Hui Zhang , Defu Hou , Toru Kojo , Bin Qin

We study fermionic excitations in a hot and dense strongly interacting medium consisting of quarks and (pseudo-)scalar mesons. In particular, we use the two-flavor quark-meson model in combination with the Functional Renormalization Group…

High Energy Physics - Phenomenology · Physics 2020-05-15 Ralf-Arno Tripolt , Dirk H. Rischke , 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 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

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 investigate spectral properties of a fermion coupled with a massive gauge boson with a mass m at finite temperature (T) in the perturbation theory. The massive gauge boson is introduced as a U(1) gauge boson in the Stueckelberg formalism…

High Energy Physics - Phenomenology · Physics 2011-02-23 Daisuke Satow , Yoshimasa Hidaka , Teiji Kunihiro

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

The pion superfluid and the corresponding Goldstone and soft modes are investigated in two-flavor quark-meson model with functional renormalization group. By solving the flow equations for the effective potential and the meson two-point…

High Energy Physics - Phenomenology · Physics 2017-07-19 Ziyue Wang , Pengfei Zhuang

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 investigate the nonequilibrium evolution of the quark-meson model using two-particle irreducible effective action techniques. Our numerical simulations, which include the full dynamics of the order parameter of chiral symmetry, show how…

High Energy Physics - Phenomenology · Physics 2020-08-04 Linda Shen , Jürgen Berges , Jan M. Pawlowski , Alexander Rothkopf

We make an intensive investigation of the soft mode at the quantum chromodynamics (QCD) critical point on the basis of the functional renormalization group (FRG) method in the local potential approximation. We calculate the spectral…

High Energy Physics - Phenomenology · Physics 2016-07-19 Takeru Yokota , Teiji Kunihiro , Kenji Morita

Quantum Chromodynamics in two spacetime dimensions is investigated with the Functional Renormalization Group. We use a functional formulation with covariant gauge fixing and derive Renormalization Group flow equations for the gauge…

High Energy Physics - Phenomenology · Physics 2025-05-06 Eric Oevermann , Adrian Koenigstein , Stefan Floerchinger

Motivated by the quark-gluon plasma, we develop a simulation method to obtain the spectral function of (Wilson) fermions non-perturbatively in a non-Abelian gauge theory with large gluon occupation numbers [arXiv:2106.11319]. We apply our…

High Energy Physics - Phenomenology · Physics 2022-02-16 Kirill Boguslavski , Tuomas Lappi , Sören Schlichting

Renormalization group methods are well-established tools for the (numerical) investigation of the low-energy properties of correlated quantum many-body systems, allowing to capture their scale-dependent nature. The functional…

Strongly Correlated Electrons · Physics 2022-06-09 Dominik Kiese , Tobias Mueller , Yasir Iqbal , Ronny Thomale , Simon Trebst

We use our recently developed functional renormalization group (FRG) approach for quantum spin systems to investigate the phase diagram of the frustrated $J_{1}J_{2}J_{3}$ quantum Heisenberg model on a cubic lattice. From a simple…

Strongly Correlated Electrons · Physics 2023-02-28 Dmytro Tarasevych , Andreas Rückriegel , Savio Keupert , Vasilios Mitsiioannou , Peter Kopietz

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
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