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I report on a study of finite temperature QCD by the CP-PACS Collaboration toward a precise determination of the equation of state with dynamical u,d quarks. Based on a systematic simulation using improved Wilson-type quarks on lattices…

High Energy Physics - Lattice · Physics 2008-11-26 Kazuyuki Kanaya , CP-PACS Collaboration

We present the non-perturbative computation of the entropy density in QCD for temperatures ranging from 3 GeV up to the electro-weak scale, using $N_f=3$ flavours of massless O$(a)$-improved Wilson fermions. We adopt a new strategy designed…

High Energy Physics - Lattice · Physics 2025-02-07 Matteo Bresciani , Mattia Dalla Brida , Leonardo Giusti , Michele Pepe

QCD undergoes a deconfining transition at high temperature to a "quark-gluon plasma" phase where hadrons may become unbound. In this work, meson correlation functions at non-zero momentum are studied both in the confined and plasma phases…

High Energy Physics - Lattice · Physics 2014-12-10 G. Aarts , C. R. Allton , S. J. Hands , J. Foley , S. Kim

It is shown that the temperature derivatives of the anomalous and normal (quark massive term) contributions to the trace of the energy-momentum tensor in QCD are equal to each other in the low temperature region. The physical consequences…

High Energy Physics - Phenomenology · Physics 2009-11-07 N. O. Agasian

Temporal quark correlation functions are analyzed in quenched lattice QCD for two values of temperature above the critical temperature (Tc) for deconfinement, T=1.5Tc and 3Tc. A two-pole ansatz for the quark spectral function is used to…

High Energy Physics - Lattice · Physics 2013-05-30 Olaf Kaczmarek , Frithjof Karsch , Masakiyo Kitazawa , Wolfgang Soeldner

We calculate the vector current correlation function for light valence quarks in the deconfined phase of QCD. The calculations have been performed in quenched lattice QCD at T=1.45 Tc for four values of the lattice cut-off on lattices up to…

High Energy Physics - Lattice · Physics 2015-03-17 H. -T. Ding , A. Francis , O. Kaczmarek , F. Karsch , E. Laermann , W. Soeldner

We evaluate equal time point to point spatial correlation functions of mesonic currents at finite temperature. For this purpose we consider the QCD vacuum structure in terms of quark antiquark condensates and their fluctuations in terms of…

High Energy Physics - Phenomenology · Physics 2014-11-17 Varun Sheel , Hiranmaya Mishra , Jitendra C. Parikh

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 have calculated the pressure and energy density in four-flavour QCD using improved fermion and gauge actions. We observe a strong reduction of finite cut-off effects in the high temperature regime, similar to what has been noted before…

High Energy Physics - Lattice · Physics 2009-10-28 J. Engels , R. Joswig , F. Karsch , E. Laermann , M. Lütgemeier , B. Petersson

Nuclear collisions at high energies produce a gluon field that can be described using the Colour Glass Condensate (CGC) effective theory at proper times $\tau \lesssim 1$ fm/c. The theory can be used to calculate the gluon energy-momentum…

High Energy Physics - Phenomenology · Physics 2022-02-09 Margaret E. Carrington , Alina Czajka , Stanislaw Mrowczynski

We present results of a first study of equation of state in finite-temperature QCD with two flavors of Wilson-type quarks. Simulations are made on lattices with temporal size $N_t=4$ and 6, using an RG-improved action for the gluon sector…

We present preliminary results towards a fully non-perturbative determination of the equation of state of QCD at very high-temperatures, $T\approx 3-80\,{\rm GeV}$. The key ingredient is the lattice formulation of QCD in a moving reference…

High Energy Physics - Lattice · Physics 2019-04-02 Mattia Dalla Brida , Leonardo Giusti , Michele Pepe

Pseudo-scalar and vector meson correlation functions were calculated at temperatures below and above the deconfinement transition using ${\cal O}(a)$ improved Wilson fermions in quenched lattice QCD. The spectral functions were…

High Energy Physics - Lattice · Physics 2007-05-23 I. Wetzorke

We have obtained nonperturbative one-loop expressions for the mean energy-momentum tensor and current density of Dirac's field on a constant electric-like background. One of the goals of this calculation is to give a consistent description…

High Energy Physics - Theory · Physics 2012-07-03 S. P. Gavrilov , D. M. Gitman

We show that for any liquid or solid with strong correlation between its $NVT$ virial and potential-energy equilibrium fluctuations, the temperature is a product of a function of excess entropy per particle and a function of density,…

Soft Condensed Matter · Physics 2012-03-13 Trond S. Ingebrigtsen , Lasse Bøhling , Thomas B. Schrøder , Jeppe C. Dyre

The energy density and the pressure of SU(3) gauge theory at finite temperature are studied by direct lattice measurements of the renormalized energy-momentum tensor obtained by the gradient flow. Numerical analyses are carried out with…

High Energy Physics - Lattice · Physics 2017-02-15 Masakiyo Kitazawa , Takumi Iritani , Masayuki Asakawa , Tetsuo Hatsuda , Hiroshi Suzuki

In 2+1 dimensions, QED becomes exactly solvable for all values of the fermion charge $e$ in the limit of many fermions $N_f\gg 1$. We present results for the free energy density at finite temperature $T$ to next-to-leading-order in large…

High Energy Physics - Theory · Physics 2019-10-30 Paul Romatschke , Matias Säppi

We calculate the energy and hydrostatic pressure densities of a hot quark-gluon plasma in thermal equilibrium through diagrammatic analyses of the statistical average, $\langle \Theta_{\mu \nu} \rangle$, of the energy-momentum-tensor…

High Energy Physics - Phenomenology · Physics 2016-08-15 Y. Hisamatsu , A. Niégawa

The sine-Gordon model serves as a foundational $1+1$-dimensional quantum field theory with numerous applications in condensed matter physics. Despite its integrability, characterizing its finite-temperature behavior remains a significant…

Statistical Mechanics · Physics 2026-04-15 M. Tóth , J. H. Pixley , G. Takács , M. Kormos

We report on a continuum extrapolation of the vector current correlation function for light valence quarks in the deconfined phase of quenched QCD. This is achieved by performing a systematic analysis of the influence of cut-off effects on…

High Energy Physics - Lattice · Physics 2015-05-30 Olaf Kaczmarek , Anthony Francis