TY - JOUR
T1 - Renormalization of the lattice heavy quark classical velocity
AU - Mandula, Jeffrey E.
AU - Ogilvie, Michael C.
PY - 1996/3
Y1 - 1996/3
N2 - In the lattice formulation of the Heavy Quark Effective Theory (LHQET), the "classical velocity" v becomes 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 two ensembles of lattices, one at β = 5.7 and the other at β = 6.1 The estimates agree, and indicate that for small classical velocities, v→ is reduced by about 25-30%.
AB - In the lattice formulation of the Heavy Quark Effective Theory (LHQET), the "classical velocity" v becomes 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 two ensembles of lattices, one at β = 5.7 and the other at β = 6.1 The estimates agree, and indicate that for small classical velocities, v→ is reduced by about 25-30%.
UR - https://www.scopus.com/pages/publications/16144367227
U2 - 10.1016/0920-5632(96)00083-7
DO - 10.1016/0920-5632(96)00083-7
M3 - Article
AN - SCOPUS:16144367227
SN - 0920-5632
VL - 47
SP - 405
EP - 408
JO - Nuclear Physics B (Proceedings Supplements)
JF - Nuclear Physics B (Proceedings Supplements)
IS - 1-3
ER -