Fixed Point Action and Topology in the CP^3 Model

Abstract

We define a fixed point action in two-dimensional lattice ${\mathrm{CP}}^{N-1}$ models. The fixed point action is a classical perfect lattice action, which is expected to show strongly reduced cutoff effects in numerical simulations. Furthermore, the action has scale-invariant instanton solutions, which enables us to define a correct topological charge without topological defects. Using a parametrization of the fixed point action for the ${\mathrm{CP}}^3$ model in a Monte Carlo simulation, we study the topological susceptibility.

27 pages, 5 figures, typeset using REVTEX, Sec. 6 rewritten (additional numerical results), to be published in Phys.Rev.D

References in corpus (8)

• 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
• Finite size scaling in CP(N-1) models

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• Overlap Hypercube Fermions in QCD Simulations Near the Chiral Limit
• Perfect Lattice Topology: The Quantum Rotor as a Test Case
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• Vacuum structure of CP^N sigma models at theta=pi
• The Schwinger Model with Perfect Staggered Fermions