Speaker
Nazario Tantalo
(INFN sez. Roma "Tor Vergata")
Description
In the solution of the lattice Dirac equation with heavy quarks masses the numerical precision obtained at
large time distances from the source may be significantly smaller with respect to the precision obtained at
small times. This happens for each gauge configuration because typical algorithms used to perform numerical
inversions require that a "global" residue is smaller than a certain value while, because of the heavy quark mass,
the time-slices at large distances from the source give a negligible contribution to this residue.
In such cases we propose to precondition the lattice Dirac operator by multiplying the quark field at different
time-slices with a user tunable function alpha(x0) and by modifying accordingly the boundary conditions in the
time direction. With a properly chosen function one can improve significantly the numerical precision of heavy
quark propagators at large time distances or, by changing the function, accelerate the inversion of lattice Dirac
operators with light quark masses.
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Primary authors
Dr
Giulia Maria de Divitiis
(Rome University "Tor Vergata" and INFN sez. Roma "Tor Vergata")
Nazario Tantalo
(INFN sez. Roma "Tor Vergata")
Prof.
Roberto Petronzio
(Rome University "Tor Vergata" and INFN sez. Roma "Tor Vergata")
