Testing the efficiency of different improvement programs

Abstract

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.

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

References in corpus (3)

• Corrections to Finite-Size Scaling in the Lattice N-Vector Model for Infinite N
• Correction to four-loop RG functions in the two-dimensional lattice O(n) $\sigma$-model
• Testing fixed points in the 2D O(3) non-linear sigma model

Cited by in corpus (1)

• Nonstandard Cutoff Effects in the Nonlinear Sigma Model