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The spectral functions of QCD can give us insight into properties of hadrons, and they are useful in probing the QCD vacuum. I will discuss the correlators and spectral functions of charmonium in high temperature two flavour QCD. The…

High Energy Physics - Lattice · Physics 2013-12-04 Aoife Kelly , Jon-Ivar Skullerud , Chris Allton , Dhagash Mehta , Mehmet B. Oktay

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

In lattice simulations one generally projects correlators over zero spatial momentum to calculate masses and related spectral data. The sum over space lattice points, however, discards information which may be useful especially in the…

High Energy Physics - Lattice · Physics 2019-01-09 Claudio Rebbi

We explore the continuum limit $a\rightarrow 0$ of meson correlation functions at finite temperature. In detail we analyze finite volume and lattice cut-off effects in view of possible consequences for continuum physics. We perform…

High Energy Physics - Lattice · Physics 2015-03-18 Anthony Francis , Frithjof Karsch

The first exploratory calculations of QCD vacuum correlation functions on a lattice are reported. Qualitative agreement with phenomenological results is obtained in channels for which experimental data are available, and these correlation…

High Energy Physics - Lattice · Physics 2007-05-23 M. -C. Chu , J. M. Grandy , S. Huang , J. W. Negele

The bottomonium spectral functions at finite temperature are analyzed by employing QCD sum rules with the maximum entropy method. This approach enables us to extract the spectral functions without any phenomenological parametrization, and…

High Energy Physics - Phenomenology · Physics 2012-12-04 Kei Suzuki , Philipp Gubler , Kenji Morita , Makoto Oka

We derive sum rules involving the spectral density of the stress-energy tensor in N=4 super-Yang-Mills theory and pure Yang-Mills theory. The sum rules come from the hydrodynamic behavior at small momenta and the conformal (in the case of…

High Energy Physics - Phenomenology · Physics 2009-11-06 Paul Romatschke , Dam Thanh Son

In this paper we report our results on quarkonium spectral functions in the vector channel obtained from quenched lattice QCD simulations at $T\in[0.75, 2.25]~T_c$. The calculations have been performed on very large and fine isotropic…

We review the current methods and results of lattice simulations of quantum chromodynamics at nonzero temperatures and densities. The review is intended to introduce the subject to interested nonspecialists and beginners. It includes a…

High Energy Physics - Lattice · Physics 2009-07-24 C. E. DeTar , U. M. Heller

I discuss recent developments in finite temperature lattice QCD, including the calculation of the transition temperature, equation of state, color screening and meson spectral functions.

High Energy Physics - Lattice · Physics 2008-11-26 P. Petreczky

We investigate the properties of heavy quarkonia at finite temperature in detail using QCD sum rules. Extending previous analyses, we take into account a temperature dependent effective continuum threshold and derive constraints on the…

High Energy Physics - Phenomenology · Physics 2014-11-20 Kenji Morita , Su Houng Lee

We provide a numerical method to calculate comprehensively the microwave and the laser spectra of ultracold bosonic atoms in optical lattices at finite temperatures. Our formulation is built up with the sum rules, up to the second order,…

Quantum Gases · Physics 2016-04-13 Kensuke Inaba , Makoto Yamashita

Frequency sum rules are derived in extended quantum systems of non relativistic fermions from a minimal set of assumptions on dynamics in infinite volume, for ground and thermal states invariant under space translations or a lattice…

Other Condensed Matter · Physics 2008-04-07 A. Cintio , G. Morchio

A set of well known chiral sum rules, expected to be valid in QCD, is confronted with experimental data on the vector and axial-vector hadronic spectral functions, obtained from tau-lepton decay by the ALEPH collaboration. The…

High Energy Physics - Phenomenology · Physics 2007-05-23 C. A. Dominguez , K. Schilcher

A thermal Finite Energy QCD Sum Rule is used to determine the temperature behaviour of the $\omega \rho \pi$ strong coupling. This coupling decreases with increasing $T$ and vanishes at the critical temperature, a likely signal for quark…

High Energy Physics - Phenomenology · Physics 2009-10-31 C. A. Dominguez , M. Loewe

We calculate the masses and leptonic decay constants of the heavy vector quarkonia, $J/\psi$ and $\Upsilon$ mesons at finite temperature. In particular, considering the thermal spectral density as well as additional operators coming up at…

High Energy Physics - Phenomenology · Physics 2015-05-27 E. Veli Veliev , K. Azizi , H. Sundu , G. Kaya , A. Turkan

In a single finite electronic band the total optical spectral weight or optical sum carries information on the interactions involved between the charge carriers as well as on their band structure. It varies with temperature as well as with…

Superconductivity · Physics 2007-05-23 J. P. Carbotte , E. Schachinger

Charmonia spectral functions at finite temperature are studied using QCD sum rules in combination with the maximum entropy method. This approach enables us to directly obtain the spectral function from the sum rules, without having to…

High Energy Physics - Phenomenology · Physics 2011-08-31 Philipp Gubler , Kenji Morita , Makoto Oka

Partial sum rules are widely used in physics to separate low- and high-energy degrees of freedom of complex dynamical systems. Their application, though, is challenged in practice by the always finite spectrometer bandwidth and is often…

Other Condensed Matter · Physics 2009-11-13 A. B. Kuzmenko , D. van der Marel , F. Carbone , F. Marsiglio

We propose a method to use lattice QCD to compute the Borel transform of the vacuum polarization function appearing in the Shifman-Vainshtein-Zakharov QCD sum rule. We construct the spectral sum corresponding to the Borel transform from…

High Energy Physics - Lattice · Physics 2021-11-15 Tsutomu Ishikawa , Shoji Hashimoto