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According to the Narnhofer Thirring Theorem interacting systems at finite temperature cannot be described by particles with a sharp dispersion law. It is therefore mandatory to develop new methods to extract particle masses at finite…

High Energy Physics - Lattice · Physics 2009-10-31 M. Oevers , C. Davies , J. Shigemitsu

We measure correlation functions of the nonperturbatively renormalized energy-momentum tensor in $N_f=2+1$ full QCD at finite temperature by applying the gradient flow method both to the gauge and quark fields. Our main interest is to study…

High Energy Physics - Lattice · Physics 2019-08-14 Yusuke Taniguchi , Shinji Ejiri , Kazuyuki Kanaya , Masakiyo Kitazawa , Asobu Suzuki , Hiroshi Suzuki , Takashi Umeda

We study correlation functions of the energy-momentum tensor (EMT) in $(2+1)$-flavor full QCD to evaluate QGP viscosities. We adopt nonperturbatively improved Wilson fermion and Iwasaki gauge action. Our degenerate $u$, $d$ quark mass is…

Temporal meson correlators and their spectral functions are calculated in the deconfined phase using the hard thermal loop resummation technique. The spectral functions exhibit strong medium effects coming from the hard thermal loop…

High Energy Physics - Phenomenology · Physics 2017-08-23 F. Karsch , M. G. Mustafa , M. H. Thoma

We present a Maximum Entropy method (MEM) for obtaining dynamical spectra from Quantum Monte Carlo data which have a sign problem. By relating the sign fluctuations to the norm of the spectra, our method properly treats the correlations…

Statistical Mechanics · Physics 2007-05-23 A. Macridin , S. P. Doluweera , M. Jarrell , Th. Maier

We report on the progress of understanding spatial correlation functions in high temperature QCD. We study isovector meson operators in $N_f=2$ QCD using domain-wall fermions on lattices of $N_s=32$ and different quark masses. It has…

High Energy Physics - Lattice · Physics 2018-10-08 C. Rohrhofer , Y. Aoki , G. Cossu , L. Ya. Glozman , S. Hashimoto , S. Prelovsek

Correlation functions provide information on the properties of mesons in vacuum and of hot nuclear matter. In this Letter, we present a new method to derive a well-defined spectral representation for correlation functions. Combining this…

Nuclear Theory · Physics 2013-07-19 Si-xue Qin

Using clover improved Wilson fermions we calculate thermal vector meson correlation functions above the deconfinement phase transition of quenched QCD. At temperatures 1.5 Tc and 3Tc they are found to differ by less than 15% from that of a…

High Energy Physics - Lattice · Physics 2009-11-07 F. Karsch , E. Laermann , P. Petreczky , S. Stickan , I. Wetzorke

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

The in-medium behavior of ground-state $q\bar{q}$ mesons, where $q \in \{u,d,s,c\}$, in vector and axial-vector channels is studied based on the spectral analysis for mesonic correlators at finite temperature and zero chemical potential. We…

High Energy Physics - Phenomenology · Physics 2020-09-23 Ling-feng Chen , Si-Xue Qin , Yu-xin Liu

After a brief summary of the QCD phase structure with light quarks, we discuss two recent developments on in-medium hadrons. First topic is the sigma-meson which is a fluctuation of the chiral order parameter \bar{q}q. Although sigma is at…

High Energy Physics - Phenomenology · Physics 2009-11-07 Tetsuo Hatsuda

Many fields of physics use quantum Monte Carlo techniques, but struggle to estimate dynamic spectra via the analytic continuation of imaginary-time quantum Monte Carlo data. One of the most ubiquitous approaches to analytic continuation is…

Computational Physics · Physics 2025-10-10 Thomas Chuna , Nicholas Barnfield , Tobias Dornheim , Michael P. Friedlander , Tim Hoheisel

We calculate temporal correlators and their spectral functions with meson quantum numbers in the deconfined phase of QCD using the hard thermal loop (HTL) approximation for the quark propagator. Although this approach does not result in a…

High Energy Physics - Phenomenology · Physics 2009-10-31 F. Karsch , M. G. Mustafa , M. H. Thoma

In the high-temperature phase of QCD meson spectral functions at nonzero momentum are expected to have a nontrivial and interesting structure. In order to provide a reference point for lattice studies employing e.g. the Maximal Entropy…

High Energy Physics - Lattice · Physics 2016-09-01 Gert Aarts , Simon Hands , Seyong Kim , Jose M. Martinez Resco

The temporal pseudoscalar meson correlation function in a QCD plasma is investigated in a range of temperatures exceeding $T_c$ and yet of experimental interest. Only the flavour-singlet channel is considered and the imaginary time…

High Energy Physics - Phenomenology · Physics 2009-11-10 W. M. Alberico , A. Beraudo , A. Molinari

We present preliminary results for the correlation- and spectral functions of different meson channels on the lattice. The main focus lies on gaining control over cut-off as well as on the finite-volume effects. Extrapolations of screening…

High Energy Physics - Lattice · Physics 2010-12-13 S. Wissel , S. Datta , F. Karsch , E. Laermann , S. Shcheredin

Meson correlation functions are studied in the model with four-fermion interaction Lagrangian. We demonstrate that despite the singular character of system mean energy and corresponding quark condensate found out the meson observables are…

High Energy Physics - Phenomenology · Physics 2009-06-02 S. V. Molodtsov , M. K. Volkov , G. M. Zinovjev

QCD sum rules of the nucleon channel are reanalyzed, using the maximum entropy method (MEM). This new approach, based on the Bayesian probability theory, does not restrict the spectral function to the usual "pole + continuum"-form, allowing…

High Energy Physics - Phenomenology · Physics 2011-10-04 Keisuke Ohtani , Philipp Gubler , Makoto Oka

Analyzing correlation functions of charmonia at finite temperature ($T$) on $32^3\times(32-96)$ anisotropic lattices by the maximum entropy method (MEM), we find that $J/\psi$ and $\eta_c$ survive as distinct resonances in the plasma even…

High Energy Physics - Lattice · Physics 2009-11-10 M. Asakawa , T. Hatsuda

We study charmonium correlators at finite temperature using quenched lattice QCD simulations. Two analysis procedures are applied to extract information on the spectral function: the maximum entropy method, and the $\chi^2$ fit analyses…

High Energy Physics - Lattice · Physics 2017-08-23 Hideo Matsufuru , Takashi Umeda , Kouji Nomura