On the effective Lagrangian of CP^(N-1) models in the large N limit

Abstract

The effective low energy Lagrangian of $C{P}^{N-1}$ models in $d<4$ dimensions can be constructed in the large $N$ limit by solving the saddle point equations in the presence of a constant field strength. The two dimensional case is explicitly worked out and possible applications are briefly discussed.

Cited by in corpus (8)

• $\theta$ dependence of 4D $SU(N)$ gauge theories in the large-$N$ limit
• Large-$N$ $SU(N)$ Yang-Mills theories with milder topological freezing
• Large-$N$ expansion and $\theta$-dependence of $2d$ $C{P}^{N-1}$ models beyond the leading order
• $\theta$-dependence and center symmetry in Yang-Mills theories
• The topological susceptibility of two-dimensional $U(N)$ gauge theories
• Topological susceptibility of $2d{\mathrm{CP}}^1$ or $\mathrm{O}(3)$ non-linear $\sigma$-model: is it divergent or not?
• $\theta$-dependence in the small-$N$ limit of $2d$ $C{P}^{N-1}$ models
• Large $\theta$ angle in two-dimensional large $N$ ${\mathbb{CP}}^{N-1}$ model