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Phys. Rev. Lett. 89, 141601 (2002) [4 pages]

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

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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

Received 5 April 2002; published 17 September 2002

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.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.89.141601
DOI:
10.1103/PhysRevLett.89.141601
PACS:
11.15.Ha, 05.50.+q