Classical improvement of lattice actions and quantum effects: a unified view
arXiv:hep-lat/9607061 · doi:10.1016/S0370-2693(96)01320-2
Abstract
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.
10 pages, revtex
References in corpus (1)
Cited by in corpus (6)
- Prospects for perfect actions
- Corrections to Finite-Size Scaling in the Lattice N-Vector Model for Infinite N
- Fixed-Point Actions in 1-Loop Perturbation Theory
- The fixed point action for the Schwinger model: a perturbative approach
- Comparing Different Improvement Programs for the N-Vector Model
- Testing the efficiency of different improvement programs