A consistency check for Renormalons in Lattice Gauge Theory: β−10 contributions to the SU(3) plaquette
نویسنده
چکیده
We compute the perturbative expansion of the Lattice SU(3) plaquette to β order. The result is found to be consistent both with the expected renormalon behaviour and with finite size effects on top of that. Research supported by Italian MURST under contract 9702213582, by I.N.F.N. under i.s. PR11 and by EU Grant EBR-FMRX-CT97-0122.
منابع مشابه
Β-function, Renormalons and the Mass Term from Perturbative Wilson Loops
Several Wilson loops on several lattice sizes are computed in Perturbation Theory via a stochastic method. Applications include: Renormalons, the Mass Term in HQET and (possibly) the β-function. Outlook Wilson Loops (WL) were the historic playground (and success. . .) of Numerical Stochastic Perturbation Theory (NSPT) for Lattice Gauge Theory [1]. Having by now an increased computing power avai...
متن کاملGauge Invariant SO ( 3 ) - Z 2 Monopoles as Possible Source of Confinement in SU ( 2 ) Lattice Gauge Theory
A gauge invariant procedure for extracting combined SO(3)-Z2 monopoles in positive-plaquette SU(2) lattice gauge theory is shown. When these monopoles are eliminated through a constraint, the theory deconfines for all β on 12 and 20 lattices even in the strong coupling limit, despite a rather strong average plaquette of around 0.64. This corresponds to an effective Wilson β of 2.45, at which Wi...
متن کاملRenormalons from eight loop expansion of the gluon condensate in lattice gauge theory ∗
We use a numerical method to obtain the weak coupling perturbative coefficients of local operators with lattice regularization. Such a method allows us to extend the perturbative expansions obtained so far by analytical Feynman diagrams calculations. In SU(3) lattice gauge theory in four dimensions we compute the first eight coefficients of the expectation value of the Wilson loop on the elemen...
متن کاملRenormalons on the Lattice and the Ope for the Plaquette: a Status Report
The first ten coefficients in the perturbative expansion of the plaquette in Lattice SU(3) are computed both on a 8 and on a 24 lattice. They are shown to be fully consistent with the growth dictated by the first IR Renormalon and with the expected finite size effects on top of that. As already pointed out a few years ago, this leads to a puzzling result on the smaller lattice: when the contrib...
متن کاملPlaquette expectation value and lattice free energy of three - dimensional SU ( N c ) gauge theory
We use high precision lattice simulations to calculate the plaquette expectation value in three-dimensional SU(Nc) gauge theory for Nc = 2, 3, 4, 5, 8. Using these results, we study the Nc-dependence of the first non-perturbative coefficient in the weak-coupling expansion of hot QCD. We demonstrate that, in the limit of large Nc, the functional form of the plaquette expectation value with ultra...
متن کامل