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Strong-coupling analysis of the latticeCPN−1models in the presence of a θ term

1996/12/05 by Jan Plefka, Stuart Samuel
Physics and Astronomy · #Dark Matter and Cosmic Phenomena #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #hep-lat

paper · pdf · doi:10.1103/physrevd.55.3966

published as Phys.Rev. D55 (1997) 3966-3973 · Latex file, 19 pages plus a postscript file of 4 figures, to appear in Physical Review D

arxiv created 1996/12/05 · openalex publication_date 1997/04/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

A \ensuremathθ term, which couples to topological charge, is added to the lattice CP^N\ensuremath-1 model. The strong-coupling character expansion is developed. The series for the free energy and mass gap are, respectively, computed to tenth order and fourth order. Several features of the strong-coupling analysis emerge. One is the loss of superconfinement. Another is that, in the intermediate coupling constant region, there are indications of a transition to a deconfining phase when \ensuremathθ is sufficiently large. The transition is like the one which has been observed in Monte Carlo simulations of a similar lattice CP^N\ensuremath-1 action.

Citations