A novel gauge invariant multi-state smearing technique

Details A novel gauge invariant multi-state smearing technique A novel gauge invariant multi-state smearing technique

1999-03-22

arxiv.org/abs/hep-lat/9903033v1

J.Comput.Phys. 179 (2002) 349-370

Physics

High Energy Physics

High Energy Physics - Lattice

18 Pages, 17 figures

Scientific paper

We present an investigation of a gauge invariant smearing technique that allows the construction of smearing functions with arbitrary radial behaviour, by foresaking the space filling nature of traditional smearing techniques. This is applied to both heavy-heavy, heavy-light, and light-light systems with one particular choice of radial ``wavefunction'' - the hydrogenic solutions - and we find good stability for both fitted masses and amplitudes of the radially excited states. The dependence of the amplitudes on the smearing radius is demonstrated to be well understood, while near optimal smearing radii may be found with extremely low statistics using a property of the smeared-local correlator. The smearing technique is inexpensive since it is non-iterative, achieves a good signal to noise ratio, and can be altered to use wavefunctions from, say, potential models or the Bethe-Salpether equations in future simulations.

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