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    New Proposal for Numerical Simulations of θ-Vacuum-like Systems

    V. Azcoiti1, G. Di Carlo2, A. Galante2,3, and V. Laliena1

    • 1Departamento de Física Teórica, Universidad de Zaragoza, Cl. Pedro Cerbuna 12, E-50009 Zaragoza, Spain
    • 2INFN, Laboratori Nazionali del Gran Sasso, 67010 Assergi, L’Aquila, Italy
    • 3Dipartimento di Fisica dell’Università di L’Aquila, 67100 L’Aquila, Italy

    Phys. Rev. Lett. 89, 141601 – Published 17 September, 2002

    DOI: https://doi.org/10.1103/PhysRevLett.89.141601

    Abstract

    We propose a new approach to perform numerical simulations of θ-vacuum-like systems, test it in two analytically solvable models, and apply it to CP3. The main new ingredient in our approach is the method used to compute the probability distribution function of the topological charge at θ=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 θ range within a few percent.

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