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Scaling topological charge in the CP3 model using a fixed point action

1996/08/13 by R. Burkhalter, Rudolf Burkhalter
Computer Science · Mathematics · Physics and Astronomy · #Markov Chains and Monte Carlo Methods #Theoretical and Computational Physics #Topological and Geometric Data Analysis #hep-lat

paper · pdf · doi:10.1016/s0920-5632(96)00819-5

published as Nucl.Phys.Proc.Suppl. 53 (1997) 935-937 · 3 pages, LaTeX file. Talk presented at LATTICE96(improvement)

arxiv created 1996/08/13 · openalex publication_date 1997/02/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We define a fixed point action in two-dimensional lattice CPN-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 CP3 model.

Citations