Renormalization of the Lattice Heavy Quark Classical Velocity

Details Renormalization of the Lattice Heavy Quark Classical Velocity Renormalization of the Lattice Heavy Quark Classical Velocity

1995-10-05

arxiv.org/abs/hep-lat/9510010v1

Nucl.Phys.Proc.Suppl. 47 (1996) 405-408

Physics

High Energy Physics

High Energy Physics - Lattice

4 pages in uuencoded compressed postscript (using uufiles); Talk given at Lattice '95 (Melbourne)

Scientific paper

10.1016/0920-5632(96)00083-7

In the lattice formulation of the Heavy Quark Effective Theory (LHQET), the classical velocity is renormalized. The origin of this renormalization is the reduction of Lorentz (or O(4)) invariance to (hyper)cubic invariance. The renormalization is finite and depends on the form of the decretization of the reduced heavy quark Dirac equation. For the Forward Time - Centered Space discretization, the renormalization is computed both perturbatively, to one loop, and non-perturbatively using an ensemble of lattices provided by the Fermilab lattice collaboration. The estimates of the leading (linear) shift agree, and indicate that for small classical velocities, the renormalized velocity is reduced by about 25-30% relative to its bare (input) value.

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