Testing the efficiency of different improvement programs

Details Testing the efficiency of different improvement programs Testing the efficiency of different improvement programs

1998-12-15

arxiv.org/abs/hep-lat/9812014v1

Nucl.Phys.B556:295-326,1999

Physics

High Energy Physics

High Energy Physics - Lattice

LaTex2e, 34 pages, 5 ps figures, uses epsf, epsfig, amsfont, cite.sty

Scientific paper

10.1016/S0550-3213(99)00373-9

We study the finite-size behaviour of a tree-level on-shell improved action for the N-vector model. We present numerical results for N=3 and analytic results in the large-N limit for the mass gap. We also report a perturbative computation at one loop of the mass gap for states of spatial momentum p. We present a detailed comparison of the behaviour of this action with that of other formulations, including the perfect action, and a critical discussion of the different approaches to the problem of action improvement.

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