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Related papers: The static force from generalized Wilson loops usi…

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By employing the gradient/Wilson flow, we derive a universal formula that expresses a correctly normalized flavor non-singlet axial-vector current of quarks. The formula is universal in the sense that it holds independently of…

High Energy Physics - Lattice · Physics 2024-02-08 Tasuku Endo , Kenji Hieda , Daiki Miura , Hiroshi Suzuki

We compute, to two loops in pertubation theory, the fermionic contribution to rectangular RxT Wilson loops, for different values of R and T. We use the overlap fermionic action. We also employ the clover action, for comparison with existing…

High Energy Physics - Lattice · Physics 2016-09-01 A. Athenodorou , H. Panagopoulos

Flow equations method of continuous unitary transformations is used to eliminate the minimal quark-gluon interaction in the light-front quantized QCD Hamiltonian. The coupled differential equations in the two lowest Fock sectors correspond…

High Energy Physics - Phenomenology · Physics 2007-05-23 Elena Gubankova

The initial stage of a heavy ion collision is dominated by nonperturbatively strong chromoelectric and -magnetic fields. The spatial Wilson loop provides a gauge invariant observable to probe the dynamics of the longitudinal chromomagnetic…

High Energy Physics - Phenomenology · Physics 2014-08-20 T. Lappi , A. Dumitru , Y. Nara

We compute, to two loops in pertubation theory, the fermionic contribution to rectangular RxT Wilson loops, for different values of R and T. We use the overlap fermionic action. We also employ the clover action, for comparison with existing…

High Energy Physics - Lattice · Physics 2016-09-01 A. Athenodorou , H. Panagopoulos

The gradient-flow formalism proves to be a useful tool in lattice calculations of quantum chromodynamics. For example, it can be used as a scheme to renormalize composite operators by inverting the short-flow-time expansion of the…

High Energy Physics - Lattice · Physics 2024-11-05 Janosch Borgulat , Robert V. Harlander , Jonas T. Kohnen , Fabian Lange

To investigate the role of long-range van der Waals interactions in static friction, we derive an analytic expression for the coefficient of static friction $\mu_s$ between two thin layers of polarizable materials under zero load. For…

Mesoscale and Nanoscale Physics · Physics 2022-09-14 Ram Narayanan , Prachi Parashar , K. V. Shajesh , S. Vijayakumar

To obtain the precise values of the bulk quantities and transport coefficients in quark-gluon-plasma phase, we propose that a direct calculation of the renormalized energy-momentum tensor (EMT) on the lattice using the gradient flow. From…

High Energy Physics - Lattice · Physics 2017-03-21 Etsuko Itou , Sinya Aoki

In this talk I present the complete 1-loop perturbative computation of the renormalization constants and mixing coefficients of quark and gluon lattice operators of rank two and three whose hadronic elements enter in the determination of…

High Energy Physics - Lattice · Physics 2009-10-28 Stefano Capitani , Giancarlo Rossi

We compute the fermionic contribution to the strong coupling $\alpha_{qq}$ extracted from the static force in Lattice QCD up to order $g^4$ in perturbation theory. This allows us to subtract the leading fermionic lattice artifacts from…

High Energy Physics - Lattice · Physics 2018-04-18 Salvatore Cali , Francesco Knechtli , Tomasz Korzec , Haralambos Panagopoulos

We develop a unified viscous hydrodynamics for charge and valley transport in gapped graphene in the quantum Hall regime. We redefine Hall viscosity as a response to static electric-field gradients instead of strain, establishing a…

Mesoscale and Nanoscale Physics · Physics 2025-10-02 Danyu Shu , Hiroshi Funaki , Ai Yamakage , Ryotaro Sano , Mamoru Matsuo

We compute hybrid static potentials in SU(2) lattice gauge theory using a multilevel algorithm and three different small lattice spacings. The resulting static potentials, which are valid for quark-antiquark separations as small as 0.05 fm,…

High Energy Physics - Lattice · Physics 2020-08-28 Carolin Riehl , Marc Wagner

A nonperturbative determination of the energy-momentum tensor is essential for understanding the physics of strongly coupled systems. The ability of the Wilson flow to eliminate divergent contact terms makes it a practical method for…

We perform a first investigation of the coupling constant flow of the nonperturbative lattice model of four-dimensional quantum gravity given in terms of Causal Dynamical Triangulations (CDT). After explaining how standard concepts of…

High Energy Physics - Theory · Physics 2015-02-13 J. Ambjorn , A. Goerlich , J. Jurkiewicz , A. Kreienbuehl , R. Loll

We discuss how to implement, in lattice gauge theories, external charges which are not commensurate with an elementary gauge coupling. It is shown that an arbitrary, real power of a standard Wilson loop (or Polyakov line) can be defined and…

High Energy Physics - Lattice · Physics 2017-08-23 Piotr Korcyl , Mateusz Koren , Jacek Wosiek

We describe in detail the implementation of a systematic perturbative approach to observables in the QCD gradient-flow formalism. This includes a collection of all relevant Feynman rules of the five-dimensional field theory and the…

High Energy Physics - Lattice · Physics 2022-10-12 Johannes Artz , Robert V. Harlander , Fabian Lange , Tobias Neumann , Mario Prausa

Starting from the NRQCD Lagrangian the heavy quark-antiquark potential is written in terms of field strength insertions on a static Wilson loop. The relevant matching coefficients are given at the present status of knowledge. The…

High Energy Physics - Phenomenology · Physics 2009-10-31 Nora Brambilla , Antonio Vairo

The velocity field and the associated tangential stress corresponding to flow of a generalized second grade fluid between two infinite coaxial circular cylinders, are determined by means of the Laplace and Hankel transforms. At time $t=0$…

Mathematical Physics · Physics 2008-04-01 Amir Mahmood , Saifullah , Georgiana Bolat

We report on a preliminary scale determination with gradient-flow techniques on the $N_f = 2 + 1 + 1$ HISQ ensembles generated by the MILC collaboration. The ensembles include four lattice spacings, ranging from 0.15 to 0.06 fm, and both…

The energy-momentum tensor and equation of state are studied in finite-temperature (2+1)-flavor QCD with improved Wilson quarks using the method proposed by Makino and Suzuki based on the gradient flow. We find that the results of the…