Comparing Different Improvement Programs for the N-Vector Model
arXiv:hep-lat/9610015 · doi:10.1016/S0370-2693(97)00495-4
Abstract
We discuss the connection between various types of improved actions in the context of the two-dimensional sigma-model. We also discuss spectrum-improved actions showing that these actions do not have any improved behaviour. An O(a^2) on-shell improved action with all couplings defined on a plaquette and satisfying reflection positivity is also explicitly constructed.
We clarify that the discrepancy noted previuosly between the on-shell and the Symanzik programs is a pathology of the large N limit. ps file available also at http://www1.le.infn.it:8080/~caraccio/96.html
References in corpus (1)
Cited by in corpus (7)
- Prospects for perfect actions
- The puzzle of apparent linear lattice artifacts in the 2d non-linear sigma-model and Symanzik's solution
- 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
- Testing the efficiency of different improvement programs
- Improved actions for the two-dimensional sigma-model