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A $\theta$ term, which couples to topological charge, is added to thetwo-dimensional lattice CP^3 model and U(1) gauge theory. Monte Carlosimulations are performed and compared to strong-coupling character expansions.In certain instances, a flattening behavior occurs in the free-energy atsufficiently large $\theta$, but the effect is an artifact of the simulationmethods.Comment: 27 pages, Latex file requiring epsf.tex for five eps figures,  accepted for publication in Physical Review

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Monte Carlo studies of two-dimensional systems with a<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>θ</mml:mi></mml:math>term

Monte Carlo studies of two-dimensional systems with aθterm