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We revisit the question of the convergence of lattice perturbation theory for a pure SU(3) lattice gauge theory in 4 dimensions. Using a series for the average plaquette up to order 10 in the weak coupling parameter beta^{-1}, we show that…

高能物理 - 格点 · 物理学 2009-11-11 L. Li , Y. Meurice

We define the non-perturbative part of a quantity as the difference between its numerical value and the perturbative series truncated by dropping the order of minimal contribution and the higher orders. For the anharmonic oscillator, the…

高能物理 - 格点 · 物理学 2008-11-26 Y. Meurice

We propose a method to probe the nature of phase transitions in lattice QCD at finite temperature and density, which is based on the investigation of an effective potential as a function of the average plaquette. We analyze data obtained in…

高能物理 - 格点 · 物理学 2008-11-26 Shinji Ejiri

The notion of a non-perturbative effect is ambiguous if it requires the subtraction of a perturbative part defined by a diverging series. A common procedure consists in dropping the order of minimal contribution and the higher orders. This…

高能物理 - 格点 · 物理学 2011-04-12 A. Denbleyker , D. Du , Y. Meurice , M. Naides

We propose a method to probe the nature of phase transitions in lattice QCD at finite temperature and density, which is based on the investigation of an effective potential as a function of the average plaquette. We analyze data obtained in…

高能物理 - 格点 · 物理学 2008-11-26 Shinji Ejiri

Precision tests of QCD perturbation theory are not readily available from experimental data. The main reasons are systematic uncertainties due to the confinement of quarks and gluons, as well as kinematical constraints which limit the…

高能物理 - 格点 · 物理学 2017-04-05 Stefan Sint

The pressure of QCD admits at high temperatures a factorization into purely perturbative contributions from "hard" thermal momenta, and slowly convergent as well as non-perturbative contributions from "soft" thermal momenta. The latter can…

高能物理 - 格点 · 物理学 2009-05-29 F. Di Renzo , M. Laine , Y. Schroder , C. Torrero

While the Polyakov loop is an order parameter of the deconfinement transition in the heavy quark mass regime of QCD, its sensitivity to the deconfinement of light, dynamical quarks in QCD is not apparent. On the other hand, the quark mass…

高能物理 - 格点 · 物理学 2021-02-08 David Anthony Clarke , Olaf Kaczmarek , Frithjof Karsch , Anirban Lahiri , Mugdha Sarkar

We discuss the quenched limit of lattice QCD at non-zero baryon number density. We find evidence for a mixed phase that becomes broader with increasing baryon number. Although the action is explicitly Z(3) symmetric the Polyakov loop…

高能物理 - 格点 · 物理学 2007-05-23 O. Kaczmarek , with J. Engels , F. Karsch , E. Laermann

The QCD free energy can be studied by dimensional reduction to a three-dimensional (3d) effective theory, whereby non-perturbative lattice simulations become less demanding. To connect to the original QCD a perturbative matching computation…

高能物理 - 格点 · 物理学 2007-05-23 C. Torrero , F. Di Renzo , V. Miccio , M. Laine , Y. Schroder

To leading order in perturbation theory, we solve QCD, defined on a small three sphere in the large N and Nf limit, at finite chemical potential and map out the phase diagram in the (mu,T) plane. The action of QCD is complex in the presence…

高能物理 - 理论 · 物理学 2015-03-13 Simon Hands , Timothy J. Hollowood , Joyce C. Myers

We study the effects of uncorrelated quenched disorder to the phase diagram and continuous transitions of three-dimensional lattice ${\mathbb Z}_2$ gauge Higgs models. For this purpose, we consider two types of quenched disorder, associated…

无序系统与神经网络 · 物理学 2026-02-18 Claudio Bonati , Ettore Vicari

We discuss the relationship between the large order behavior of the perturbative series for the average plaquette in pure gauge theory and singularities in the complex coupling plane. We discuss simple extrapolations of the large order for…

高能物理 - 理论 · 物理学 2017-08-23 Y. Meurice

Thanks to dimensional reduction, the contributions to the hot QCD pressure coming from so-called soft modes can be studied via an effective three-dimensional theory named Electrostatic QCD (spatial Yang-Mills fields plus an adjoint Higgs…

高能物理 - 格点 · 物理学 2008-11-26 C. Torrero , M. Laine , Y. Schroder , F. Di Renzo , V. Miccio

We report progress towards computing the heavy quark momentum diffusion coefficient from the correlator of two chromo-electric fields attached to a Polyakov loop in pure SU(3) gauge theory. Using a multilevel algorithm and tree-level…

高能物理 - 格点 · 物理学 2020-11-11 Nora Brambilla , Viljami Leino , Peter Petreczky , Antonio Vairo

Dimensional reduction is a key issue in finite temperature field theory. For example, when following the QCD Free Energy from low to high scales across the critical temperature, ultrasoft degrees of freedom can be captured by a 3d SU(3)…

高能物理 - 格点 · 物理学 2016-09-01 F. Di Renzo , A. Mantovi , V. Miccio , Y. Schroder

The nature of the finite temperature phase transition of QCD depends on the particle density and the mass of the dynamical quarks. We discuss the properties of the phase transition at high density, considering an effective theory describing…

高能物理 - 格点 · 物理学 2026-04-23 Shinji Ejiri , Masanari Koiida

Three-flavor QCD simulation with the $O(a)$-improved Wilson fermion action is made employing an exact fermion algorithm developed for odd number of quark flavors. For the plaquette gauge action, an unexpected first-order phase transition is…

The relevance of higher order cumulants of conserved charges for the analysis of freeze-out and critical conditions in heavy ion collisions at LHC and RHIC is discussed. Using properties of $O(4)$ scaling functions, the generic structure of…

核理论 · 物理学 2015-06-19 Bengt Friman

The free energy for QCD at high temperature $T$ is calculated to order $g^5$ using effective-field-theory methods to separate the contributions from the momentum scales $T$ and $gT$. The effects of the scale $T$ enter through the…

高能物理 - 唯象学 · 物理学 2016-08-24 Eric Braaten , Agustin Nieto
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