We study the topological susceptibility, χ, of the 2D O(3) σ model by defining a density of topological charge as a local polynomial of the spin variables on the lattice. Following the field theoretical prescriptions we perform the additive and multiplicative renormalizations needed to extract χ from Monte Carlo data. By numerical simulations we show that the field theoretical definition and the cooling method give a consistent determination of χ.

The topological susceptibility of the 2D O(3) sigma model

PAPA, Alessandro;
1992-01-01

Abstract

We study the topological susceptibility, χ, of the 2D O(3) σ model by defining a density of topological charge as a local polynomial of the spin variables on the lattice. Following the field theoretical prescriptions we perform the additive and multiplicative renormalizations needed to extract χ from Monte Carlo data. By numerical simulations we show that the field theoretical definition and the cooling method give a consistent determination of χ.
1992
Heisenberg model; Topological properties; Lattice Monte Carlo simulations
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/139355
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