Monte Carlo Studies of Two-Dimensional Systems with a $θ$ Term

Details Monte Carlo Studies of Two-Dimensional Systems with a $θ$ Term Monte Carlo Studies of Two-Dimensional Systems with a $θ$ Term

1997-04-28

arxiv.org/abs/hep-lat/9704016v1

Phys.Rev. D56 (1997) 44-54

Physics

High Energy Physics

High Energy Physics - Lattice

27 pages, Latex file requiring epsf.tex for five eps figures, accepted for publication in Physical Review D

Scientific paper

10.1103/PhysRevD.56.44

A $\theta$ term, which couples to topological charge, is added to the two-dimensional lattice CP^3 model and U(1) gauge theory. Monte Carlo simulations are performed and compared to strong-coupling character expansions. In certain instances, a flattening behavior occurs in the free-energy at sufficiently large $\theta$, but the effect is an artifact of the simulation methods.

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