Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1996-07-26
Phys.Lett. B389 (1996) 571-576
Physics
High Energy Physics
High Energy Physics - Lattice
10 pages, revtex
Scientific paper
10.1016/S0370-2693(96)01320-2
The possibility of removing the one-loop perturbative effects of lattice artifacts by a proper choice of the lattice action is explored, and found to depend crucially on the properties of the physical quantity considered. In this respect the finite-space-volume mass gap m(L) is an improved observable. We find an explicit momentum space representation of the one-loop contribution to m(L) for arbitrary lattice actions in the case of two-dimensional O(N) sigma models. We define a ``tree perfect'' Symanzik action and find that it formally removes all one-loop lattice artifacts in m(L). On-shell improved actions do not share this property.
Rossi Paolo
Vicari Ettore
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