A Strong-Coupling Analysis of the Lattice $C{P}^{N-1}$ Models in the Presence of a $\theta$ Term

Abstract

A $\theta$ term, which couples to topological charge, is added to the lattice $C{P}^{N-1}$ 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 $C{P}^{N-1}$ action.

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