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We present a determination of the QCD coupling constant, $\alpha_s$, obtained by fitting lattice results for the flavour $ud$ hadronic vacuum polarisation function to continuum perturbation theory. We use $n_f=2+1$ flavours of Domain Wall…

High Energy Physics - Lattice · Physics 2018-07-09 Renwick J. Hudspith , Randy Lewis , Kim Maltman , Eigo Shintani

We compute the leading QED corrections to the hadronic vacuum polarization (HVP) of the photon, relevant for the determination of leptonic anomalous magnetic moments, $a_\ell$. We work in the electroquenched approximation and use dynamical…

High Energy Physics - Lattice · Physics 2018-04-18 Andrea Bussone , Michele Della Morte , Tadeusz Janowski

In the strong coupling limit, $n$-point functions in lattice QCD with staggered fermions can be rewritten exactly as sums over constrained configurations of monomers, dimers, and baryon loops covering the spacetime lattice. Worm algorithms…

High Energy Physics - Lattice · Physics 2017-02-01 Philippe de Forcrand , Paul Romatschke , Wolfgang Unger , Helvio Vairinhos

We present new lattice results on the continuum extrapolation of the vector current correlation function. Lattice calculations have been carried out in the deconfined phase at a temperature of 1.1 Tc, extending our previous results at 1.45…

High Energy Physics - Lattice · Physics 2013-02-01 H. -T. Ding , A. Francis , O. Kaczmarek , F. Karsch , E. Laermann , S. Mukherjee , M. Müller , W. Soeldner

We study correlation functions of spatially separated static quark-antiquark pairs in $2+1$ flavor QCD in order to investigate the nature of color screening at high temperatures. We perform lattice calculations in a wide temperature range,…

High Energy Physics - Lattice · Physics 2023-03-15 Sebastian Steinbeißer , Johannes Heinrich Weber

We obtain a new value for the QCD coupling constant by combining lattice QCD simulations with experimental data for hadron masses. Our lattice analysis is the first to: 1) include vacuum polarization effects from all three light-quark…

High Energy Physics - Lattice · Physics 2009-11-11 Q. Mason , H. D. Trottier , C. T. H. Davies , K. Foley , A. Gray , G. P. Lepage , M. Nobes , J. Shigemitsu

We present preliminary results for the determination of the leading strange and charm quark-connected contributions to the hadronic vacuum polarization contribution to the muon's g-2. Measurements are performed on the RC* collaboration's…

We present a lattice QCD calculation with two dynamical flavors of the isovector vector correlator in the high-temperature phase. We analyze the correlator in terms of the associated spectral function, for which we review the theoretical…

High Energy Physics - Lattice · Physics 2015-06-12 Bastian B. Brandt , Anthony Francis , Harvey B. Meyer , Hartmut Wittig

We present new results on the continuum extrapolation of the vector current correlation function in the deconfined phase for three temperatures close to the critical temperature utilizing quenched clover improved Wilson fermions and light…

High Energy Physics - Lattice · Physics 2013-12-20 Olaf Kaczmarek , Marcel Müller

We report our (HPQCD) progress on the calculation of the Hadronic Vacuum Polarisation contribution to the anomalous magnetic moment of muon. In this article we discuss the calculations for the light (up/down) quark connected contribution…

High Energy Physics - Lattice · Physics 2015-11-19 Bipasha Chakraborty , Christine Davies , Pedro Gonçalves de Oliveira , Jonna Koponen , G. Peter Lepage

The thermal photon emission rate is determined by the spatially transverse, in-medium spectral function of the electromagnetic current. Accessing the spectral function using Euclidean data is, however, a challenging problem due to the…

High Energy Physics - Lattice · Physics 2022-12-13 Csaba Török , Marco Cè , Tim Harris , Ardit Krasniqi , Harvey B. Meyer , Samuel Ruhl

Recent experiments on cold atoms in optical lattices allow for a quantitative comparison of the measurements to the conductivity calculations in the square lattice Hubbard model. However, the available calculations do not give consistent…

Strongly Correlated Electrons · Physics 2019-07-29 Jaksa Vucicevic , Jure Kokalj , Rok Zitko , Nils Wentzell , Darko Tanaskovic , Jernej Mravlje

We extend an earlier, configuration space method to find the Wilson coefficients of operators appearing in the short distance expansion of thermal correlation functions of different quark bilinears. Considering all the different correlation…

High Energy Physics - Phenomenology · Physics 2009-10-30 S. Mallik

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

Following the publication of the new measurement of the anomalous magnetic moment of the muon, the discrepancy between experiment and the theory prediction from the $g-2$ theory initiative has increased to $4.2\,\sigma$. Recent lattice QCD…

The effect of cooling on a number of observables is calculated in SU(2) lattice gauge theory. The static quark-antiquark potential and spin-dependent interactions are studied, and the topological charge is monitored. The chiral symmetry…

High Energy Physics - Lattice · Physics 2010-11-01 Howard D. Trottier , R. M. Woloshyn

We present an update on the ongoing calculations by the Fermilab Lattice, HPQCD, and MILC Collaboration of the leading-order (in electromagnetism) hadronic vacuum polarization contribution to the anomalous magnetic moment of the muon. Our…

The locality of correlation functions is considered for Fermi systems at non-zero temperature. We show that for all short-range, lattice Hamiltonians, the correlation function of any two fermionic operators decays exponentially with a…

Materials Science · Physics 2009-11-10 M. B. Hastings

We analyze the meson correlator in the spatial direction at finite temperature. To achieve fine resolution in the spatial direction, we use an anisotropic lattice with the standard Wilson plaquette gauge action and the $O(a)$ improved…

High Energy Physics - Lattice · Physics 2007-05-23 K. Nomura , O. Miyamura , T. Umeda , H. Matsufuru

Many observables of interest in lattice QCD are extracted from correlation functions involving the vector current. If Wilson fermions are used, it is therefore of practical importance that, besides the action, the current be O($a$) improved…

High Energy Physics - Lattice · Physics 2015-12-16 Tim Harris , Harvey B. Meyer
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