A New Lattice Action for Studying Topological Charge

Details A New Lattice Action for Studying Topological Charge A New Lattice Action for Studying Topological Charge

1996-04-12

arxiv.org/abs/hep-lat/9604009v1

Phys.Lett.B385:254-260,1996

Physics

High Energy Physics

High Energy Physics - Lattice

12 pages, LateX, 1 figure

Scientific paper

10.1016/0370-2693(96)00838-6

We propose a new lattice action for non-abelian gauge theories, which will reduce short-range lattice artifacts in the computation of the topological susceptibility. The standard Wilson action is replaced by the Wilson action of a gauge covariant interpolation of the original fields to a finer lattice. If the latter is fine enough, the action of all configurations with non-zero topological charge will satisfy the continuum bound. As a simpler example we consider the $O(3)$ $\sigma$-model in two dimensions, where a numerical analysis of discretized continuum instantons indicates that a finer lattice with half the lattice spacing of the original is enough to satisfy the continuum bound.

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