A Strong-Coupling Analysis of the Lattice $CP^{N-1}$ Models in the Presence of a $θ$ Term

Details A Strong-Coupling Analysis of the Lattice $CP^{N-1}$ Models in the Presence of a $θ$ Term A Strong-Coupling Analysis of the Lattice $CP^{N-1}$ Models in the Presence of a $θ$ Term

1996-12-05

arxiv.org/abs/hep-lat/9612004v1

Phys.Rev. D55 (1997) 3966-3973

Physics

High Energy Physics

High Energy Physics - Lattice

Latex file, 19 pages plus a postscript file of 4 figures, to appear in Physical Review D

Scientific paper

10.1103/PhysRevD.55.3966

A $\theta$ term, which couples to topological charge, is added to the lattice $CP^{N-1}$ 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 $\theta$ is sufficiently large. The transition is like the one which has been observed in Monte Carlo simulations of a similar lattice $CP^{N-1}$ action.

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