We propose a new approach to perform numerical simulations of $\theta$-vacuum-like systems, test it in two analytically solvable models, and apply it to CP^3. The main new ingredient in our approach is the method used to compute the probability distribution function of the topological charge at $\theta=0$. We do not get unphysical phase transitions (flattening behavior of the free energy density) and reproduce the exact analytical results for the order parameter in the whole range within a few percent.

### New proposal for numerical simulations of theta-vacuum-like systems

#### Abstract

We propose a new approach to perform numerical simulations of $\theta$-vacuum-like systems, test it in two analytically solvable models, and apply it to CP^3. The main new ingredient in our approach is the method used to compute the probability distribution function of the topological charge at $\theta=0$. We do not get unphysical phase transitions (flattening behavior of the free energy density) and reproduce the exact analytical results for the order parameter in the whole range within a few percent.
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/11697/15546
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