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Correlators of magnetic and electric field energy density are investigated for SU($N_c$) gauge theory at high temperatures $T$. At separations $z\leq 2/T$ the correlators are shown to be dominated by a power--law behavior even for finite…

Nuclear Theory · Physics 2009-10-09 Dirk H. Rischke , Miklos Gyulassy

A recently proposed generating functional allows the construction of the full set of n-point Green functions in QCD at high temperature and at distances larger than 1/gT. One may then learn how the system maintains its thermal equilibrium…

High Energy Physics - Phenomenology · Physics 2009-11-07 F. Guerin

We report on the determination of the gradient flow scales in $N_f=2+1$ QCD using highly improved staggered quark (HISQ) ensembles generated by the HotQCD Collaboration for bare gauge couplings ranging from $\beta = 6.423$ to $8.400$. Using…

High Energy Physics - Lattice · Physics 2026-03-09 Rasmus Larsen , Swagato Mukherjee , Peter Petreczky , Hai-Tao Shu , Johannes Heinrich Weber

Euclidean two-point correlators of the energy-momentum tensor (EMT) in SU(3) gauge theory on the lattice are studied on the basis of the Yang-Mills gradient flow. The entropy density and the specific heat obtained from the two-point…

High Energy Physics - Lattice · Physics 2017-12-27 Masakiyo Kitazawa , Takumi Iritani , Masayuki Asakawa , Tetsuo Hatsuda

Heat flow and thermal profile in a 1D harmonic lattice with coordinate-dependent masses has been calculated in the thermodynamic limit. It is shown in the particular example of a 1D harmonic lattice with linearly increasing masses that in…

Statistical Mechanics · Physics 2013-05-09 K. V. Reich

We use gradient flow to compute the static force based on a Wilson loop with a chromoelectric field insertion. The result can be compared on one hand to the static force from the numerical derivative of the lattice static energy, and on the…

High Energy Physics - Lattice · Physics 2022-12-26 Nora Brambilla , Viljami Leino , Julian Mayer-Steudte , Antonio Vairo

Enhancing solute dispersion in electrically actuated flows has always been a challenging proposition, as attributed to the inherent uniformity of the flow field in absence of surface patterns. Over the years, researchers have focused their…

Fluid Dynamics · Physics 2020-09-08 Siddhartha Mukherjee , Sunando DasGupta , Suman Chakraborty

In superconductors where the coherence length is comparable to the Fermi wavelength, the electronic levels within a vortex core are quantized, and separated by energies of the order of the superconducting gap. The absence of a continuum…

Condensed Matter · Physics 2007-05-23 F. Guinea , Yu. Pogorelov

The heavy quark diffusion coefficient is encoded in the spectral functions of the chromoelectric and the chromomagnetic correlators that are calculable on the lattice. We study the chromoelectric and the chromomagnetic correlator in the…

High Energy Physics - Lattice · Physics 2021-11-22 Julian Mayer-Steudte , Nora Brambilla , Viljami Leino , Peter Petreczky

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

The topological susceptibility is computed in the SU(3) gauge theory at temperatures $T$ above the critical temperature $T_{\rm c}$ using master-field simulations of very large lattices, where the infamous topology-freezing issue is…

High Energy Physics - Lattice · Physics 2019-11-26 Leonardo Giusti , Martin Lüscher

We study the impact of the Gradient Flow on the topology in various models of lattice field theory. The topological susceptibility $\chi_{\rm t}$ is measured directly, and by the slab method, which is based on the topological content of…

It has become customary to use a smoothing algorithm called "gradient flow" to fix the lattice spacing in a simulation, through a parameter called $t_0$. It is shown that in order to keep the length $t_0$ fixed with respect to mesonic or…

High Energy Physics - Lattice · Physics 2017-07-04 Thomas DeGrand

The cut-off effects of the lattice gradient flow -- often called Wilson flow -- are calculated on a periodic 4-torus at leading order in the gauge coupling. A large class of discretizations is considered which includes all frequently used…

High Energy Physics - Lattice · Physics 2014-11-03 Zoltan Fodor , Kieran Holland , Julius Kuti , Santanu Mondal , Daniel Nogradi , Chik Him Wong

We give a new description to obtain the shear viscosity in QCD at finite temperature. Firstly, we obtain the correlation function of the renormalized energy-momentum tensor using the gradient flow method. Secondly, we estimate the spectral…

High Energy Physics - Lattice · Physics 2021-11-02 Etsuko Itou , Yuki Nagai

We show how the sphaleron rate (the Minkowski rate for topological charge diffusion) can be determined by analytical continuation of the Euclidean topological-charge-density two-point function, which we investigate on the lattice, using…

High Energy Physics - Lattice · Physics 2021-07-01 Luis Altenkort , Alexander M. Eller , Olaf Kaczmarek , Lukas Mazur , Guy D. Moore , Hai-Tao Shu

We compute the Euclidean correlators of the stress tensor in pure $SU(3)$ Yang-Mills theory at finite temperature at zero and finite spatial momenta with lattice simulations. We perform continuum extrapolations using $N_\tau=10,12,16,20$…

Lattice scales defined using gradient flow are typically very precise, while also easy to calculate. However, different definitions of flows and operators can differ significantly, suggesting possible systematical effects. Using a subset of…

High Energy Physics - Lattice · Physics 2022-11-23 Christian Schneider , Anna Hasenfratz , Oliver Witzel

The paraconductivity, originating from critical superconducting order-parameter fluctuations in the vicinity of the critical temperature in a layered superconductor is calculated in the frame of the self-consistent Hartree approximation,…

Superconductivity · Physics 2009-11-10 I. Puica , W. Lang

We investigate thermal properties of a $U(1)$ lattice gauge theory in $1+1$-dimensions through real-time simulations. We extract the spectral functions directly coupling to the pseudoscalar and scalar mesons, demonstrating the thermal…

High Energy Physics - Phenomenology · Physics 2025-12-11 João Barata , David Frenklakh , Swagato Mukherjee