Abstract
We describe two ideas useful in the construction of highly improved quark actions for simulations on coarse lattices: (i) Field transformations solve the doubler problem without destroying tree-level improvement for on- or off-shell quantities. The simplest example is the Sheikholeslami-Wohlert (clover) action. Going to the next order of improvement yields the class of D234 actions. (ii) Anisotropic lattices with a t < a s useful because they push up the energy of unphysical branches of the dispersion relation (which are generic to highly improved actions), allow accurate mass determinations for particles with bad signal/noise properties (glueballs, P-state mesons), and enable one to simulate heavy quarks within a relativistic framework. We present first simulation results for the quenched light hadron and charmonium spectra obtained with a D234 action on anisotropic lattices.
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