出版社：SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要：Building upon the work of the Fermilab and Tsukuba groups, we discuss improved lattice actions
capable of describing onium and heavy-light systems with errors of order (~pa)2 but accurate to
arbitrary order in (ma)n, where a is the lattice spacing, ~p is the spatial momentum of the heavy
quark(s) and m the heavy quark mass. We demonstrate using both a tree-level example and an
inductive proof that this accuracy can be achieved for hadronic masses using an action containing
only three mass-dependent parameters: the bare quark mass (m0), an anisotropy coefficient (z )
of the Dirac spatial derivative term and a coefficient (cP) of the chromomagnetic Pauli term.
Further improvement terms are needed to calculate matrix elements involving spinor fields or
composite operators. This represents a simplification of earlier results and makes practical the
non-perturbative evaluation of these coefficients.
