Problems with the euclidean formulation of heavy quark effective theories Export

@article{citeulike:1085920, abstract = {We discuss the formulation in euclidean space of the effective theory for heavy quarks at non-zero velocity, which is necessary for the implementation of the Isgur-Wise limit in lattice QCD simulations. In this theory the energy spectrum is unbounded from below and, even at the tree level, an ultraviolet cut-off on spatial momenta must be introduced. The continuum limit of the effective quark propagator in configuration space does not exist. It is however possible, at least in the non-interacting case, to construct sensible correlation functions in time and in spatial momenta. The application of the theory to lattice simulations seems very problematic.}, author = {Aglietti, U. and Crisafulli, M. and Masetti, M.}, citeulike-article-id = {1085920}, citeulike-linkout-0 = {http://dx.doi.org/10.1016/0370-2693(92)90695-Z}, citeulike-linkout-1 = {http://www.sciencedirect.com/science/article/B6TVN-46YSR53-1DB/2/3c202d9ec5a1a5ad20932b7169ca7822}, day = {12}, doi = {10.1016/0370-2693(92)90695-Z}, journal = {Physics Letters B}, keywords = {hqet, mnrqcd}, month = {November}, number = {2}, pages = {281--285}, posted-at = {2007-02-03 10:39:53}, priority = {5}, title = {Problems with the euclidean formulation of heavy quark effective theories}, url = {http://dx.doi.org/10.1016/0370-2693(92)90695-Z}, volume = {294}, year = {1992} }

TY - JOUR ID - citeulike:1085920 L3 - citeulike-article-id:1085920 N2 - We discuss the formulation in euclidean space of the effective theory for heavy quarks at non-zero velocity, which is necessary for the implementation of the Isgur-Wise limit in lattice QCD simulations. In this theory the energy spectrum is unbounded from below and, even at the tree level, an ultraviolet cut-off on spatial momenta must be introduced. The continuum limit of the effective quark propagator in configuration space does not exist. It is however possible, at least in the non-interacting case, to construct sensible correlation functions in time and in spatial momenta. The application of the theory to lattice simulations seems very problematic. IS - 2 JF - Physics Letters B EP - 285 TI - Problems with the euclidean formulation of heavy quark effective theories VL - 294 SP - 281 KW - hqet KW - mnrqcd AU - Aglietti, U AU - Crisafulli, M AU - Masetti, M PY - 1992/11/12/ UR - http://dx.doi.org/10.1016/0370-2693(92)90695-Z ER -