Scaling topological charge in the CP^3 model using a fixed point action

Abstract

We define a fixed point action in two-dimensional lattice CP^{N-1} models. The fixed point action is a classical perfect lattice action, which is expected to show strongly reduced cut-off effects in numerical simulations. Furthermore, the action has scale invariant instanton solutions, which enables us to define a topological charge without topological defects. We present results for the scaling of the topological suceptibility from a Monte Carlo simulation in the CP^3 model.

3 pages, LaTeX file. Talk presented at LATTICE96(improvement)

References in corpus (7)

• Perfect lattice action for asymptotically free theories
• The classically perfect fixed point action for SU(3) gauge theory
• Non--perturbative tests of the fixed point action for SU(3) gauge theory
• Instantons and the fixed point topological charge in the two-dimensional O(3) sigma-model
• The absence of cut--off effects for the fixed point action in 1--loop perturbation theory
• Topological susceptibility and string tension in the lattice CP(N) models
• Scaling topological charge in the CP^3 spin model