Cutoff effects on energy-momentum tensor correlators in lattice gauge theory
نویسنده
چکیده
We investigate the discretization errors affecting correlators of the energy-momentum tensor Tμν at finite temperature in SU(Nc) gauge theory with the Wilson action and two different discretizations of Tμν . We do so by using lattice perturbation theory and non-perturbative MonteCarlo simulations. These correlators, which are functions of Euclidean time x0 and spatial momentum p, are the starting point for a lattice study of the transport properties of the gluon plasma. We find that the correlator of the energy ∫ dxT00 has much larger discretization errors than the correlator of momentum ∫ dxT0k. Secondly, the shear and diagonal stress correlators (T12 and Tkk) require Nτ ≥ 8 for the Tx0 = 1 2 point to be in the scaling region and the cutoff effect to be less than 10%. We then show that their discretization errors on an anisotropic lattice with aσ/aτ = 2 are comparable to those on the isotropic lattice with the same temporal lattice spacing. Finally, we also study finite p correlators.
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