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We apply the functional renormalization-group (FRG) equation to analyze the nature of the QCD critical point beyond the mean-field approximation by taking into consideration the fact that the soft mode associated with the QCD critical point…

High Energy Physics - Phenomenology · Physics 2014-01-29 K. Kamikado , T. Kunihiro , K. Morita , A. Ohnishi

We introduce a method that allows the evaluation of general expressions for the spectral functions of the one-dimensional Hubbard model for all values of the on-site electronic repulsion U. The spectral weights are expressed in terms of…

Strongly Correlated Electrons · Physics 2007-05-23 J. M. P. Carmelo , K. Penc

Using a rather complete description of the in-medium $\rho$ spectral function - being constrained by various independent experimental information - we calculate pertinent dilepton production rates from hot and dense hadronic matter. The…

High Energy Physics - Phenomenology · Physics 2010-04-06 R. Rapp , J. Wambach

A simple effective model for the intermediate-density regime is constructed from the high-density effective theory of quantum chromodynamics (QCD). In the effective model, under a renormalization-group (RG) scaling towards low momenta, the…

Nuclear Theory · Physics 2024-07-19 Kie Sang Jeong , Fabrizio Murgana , Ashutosh Dash , Dirk H. Rischke

We present results from an analytic calculation of thermal meson spectral functions in the infinite temperature (free field) limit. We compare spectral functions for various lattice fermion formulations used at present in studies of…

High Energy Physics - Lattice · Physics 2009-11-10 S. Stickan , F. Karsch , E. Laermann , P. Petreczky

In this work we have re-explored our earlier study on the vector meson spectral function and its spectral property in the form of dilepton rate in a two-flavour Polyakov loop extended Nambu-Jona-Lasinio (PNJL) model in presence of a strong…

High Energy Physics - Phenomenology · Physics 2015-11-11 Chowdhury Aminul Islam , Sarbani Majumder , Munshi G. Mustafa

We confront different models for medium modifications of the electromagnetic correlation function to recent dimuon spectra from the NA60 collaboration for central In-In collisions at the CERN-SPS. In the low-mass region (M \lesssim 1.0…

High Energy Physics - Phenomenology · Physics 2007-05-23 H. van Hees , R. Rapp

We present for the first time time-dependent density-matrix renormalization-group simulations (t-DMRG) at finite temperatures. It is demonstrated how a combination of finite-temperature t-DMRG and time-series prediction allows for an easy…

Strongly Correlated Electrons · Physics 2009-07-28 Thomas Barthel , Ulrich Schollwöck , Steven R. White

We investigate the thermal properties of hadrons in two-color quantum chromodynamics (QC$_2$D) using the functional renormalization group (FRG) method, with particular focus on modifications of the $U(1)$ axial anomaly effects. The hadrons…

High Energy Physics - Phenomenology · Physics 2025-12-22 Gergely Fejős , Daiki Suenaga

Dilepton production in heavy-ion collisions at top SPS energy is investigated within a coarse-graining approach that combines an underlying microscopic evolution of the nuclear reaction with the application of medium-modified spectral…

Nuclear Theory · Physics 2015-07-07 Stephan Endres , Hendrik van Hees , Janus Weil , Marcus Bleicher

In this paper we present an overview on recent progress in studies of QCD at finite temperature and densities within the functional renormalization group (fRG) approach. The fRG is a nonperturbative continuum field approach, in which…

High Energy Physics - Phenomenology · Physics 2022-09-28 Wei-jie Fu

Functional renormalization group (FRG) methods applied to calculations of isospin-symmetric and asymmetric nuclear matter as well as neutron matter are reviewed. The approach is based on a chiral Lagrangian expressed in terms of nucleon and…

Nuclear Theory · Physics 2017-03-08 Matthias Drews , Wolfram Weise

We investigate the thermodynamic geometry of the quark-meson model at finite temperature, $T$, and quark number chemical potential, $\mu$. We extend previous works by the inclusion of fluctuations exploiting the functional renormalization…

High Energy Physics - Phenomenology · Physics 2023-12-04 Fabrizio Murgana , Vincenzo Greco , Marco Ruggieri , Dario Zappalà

The extended linear sigma model describes the vacuum phenomenology of scalar, pseudoscalar, vector and axial-vector mesons at energies \(\simeq 1\text{ GeV}\). We combine the chiral \(U(2)_L\times U(2)_R\) symmetry of this model with a…

High Energy Physics - Phenomenology · Physics 2015-06-24 A. Habersetzer , Francesco Giacosa

We establish and elucidate the physical meaning of the appearance of an acausal mode in the sigma mesonic channel, found in the previous work by the present authors, when the system approaches the $\mathrm{Z}_{2}$ critical point. The…

High Energy Physics - Phenomenology · Physics 2017-11-01 Takeru Yokota , Teiji Kunihiro , Kenji Morita

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

The properties of the vector meson current-current correlation function and its spectral representation are investigated in details with and without isoscalar-vector interaction within the framework of effective QCD approach, namely…

High Energy Physics - Phenomenology · Physics 2015-02-05 Chowdhury Aminul Islam , Sarbani Majumder , Najmul Haque , Munshi G. Mustafa

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 investigate the spectral functions of neutral and charged mesons in a hot dense medium under a external magnetic field using the two-flavor quark-meson model within the functional renormalization group (FRG) framework. Our results show…

Nuclear Theory · Physics 2026-05-18 Haoran Li , Ziyue Wang

We present a numerical pilot study of the meson correlation functions in the epsilon-regime of chiral perturbation theory. Based on simulations with overlap fermions we measured the axial and pseudo-scalar correlation functions, and we…

High Energy Physics - Lattice · Physics 2009-11-10 T. Chiarappa , W. Bietenholz , K. Jansen , K. -I. Nagai , S. Shcheredin