The action of the 2D O(3) nonlinear sigma model on the lattice in a bath of particles, when expressed in terms of standard O(3) degrees of freedom, is complex. A reformulation of the model in terms of new variables that makes the action real is presented. This reshaping enables us to utilize Monte Carlo simulations based on usual importance sampling. Several observables, including the correlation function and the mass gap, are measured.

Finite density 2D O(3) sigma model: Dualization and numerical simulations

A. Papa
Membro del Collaboration Group
2018

Abstract

The action of the 2D O(3) nonlinear sigma model on the lattice in a bath of particles, when expressed in terms of standard O(3) degrees of freedom, is complex. A reformulation of the model in terms of new variables that makes the action real is presented. This reshaping enables us to utilize Monte Carlo simulations based on usual importance sampling. Several observables, including the correlation function and the mass gap, are measured.
Two-dimensional Heisenberg model with nonzero density
Sign-problem free dual formulations
Monte Carlo simulations
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11770/288283
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