Renormalons on the Lattice

Abstract

We present the first lattice calculation of the B-meson binding energy $\text{labar}$ and of the kinetic energy ${\lambda }_1/2m_Q$ of the heavy-quark inside the pseudoscalar B-meson. In order to cancel the ambiguities due to the ultraviolet renormalons present in the operator matrix elements, this calculation has required the non-perturbative subtraction of the power divergences present in the Lagrangian operator $\text{energy}$ and in the kinetic energy operator $\text{kkinetic}$. The non-perturbative renormalization of the relevant operators has been implemented by imposing suitable renormalization conditions on quark matrix elements in the Landau gauge.

Comments: 4 pages, latex, 2 figure as postscript files