Fractionalized Non-Self-Dual Solutions in the CP(N-1) Model

Abstract

We study non-self-dual classical solutions in the CP(N-1) model with Z_N twisted boundary conditions on the spatially compactified cylinder. These solutions have finite, and fractional, classical action and topological charge, and are `unstable' in the sense that the corresponding fluctuation operator has negative modes. We propose a physical interpretation of these solutions as saddle point configurations whose contributions to a resurgent semi-classical analysis of the quantum path integral are imaginary non-perturbative terms which must be cancelled by infrared renormalon terms generated in the perturbative sector.

11 pages, 5 figures

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Cited by in corpus (16)

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• Classifying bions in Grassmann sigma models and non-Abelian gauge theories by D-branes
• Fractional instantons and bions in the O(N) model with twisted boundary conditions
• Non-BPS exact solutions and their relation to bions in $\mathbb{C}{P}^{N-1}$ models
• Critical Points at Infinity, Non-Gaussian Saddles, and Bions
• Topological solitons in the supersymmetric Skyrme model
• Neutral bions in the CP^{N-1} model for resurgence
• Josephson instantons and Josephson monopoles in a non-Abelian Josephson junction
• Decoding perturbation theory using resurgence: Stokes phenomena, new saddle points and Lefschetz thimbles
• Clustering and decomposition for non BPS solutions of the ${\mathbb{CP}}^{N-1}$ models
• Renormalons beyond the Borel plane
• Twisted CP(N-1) instanton projectors and the N-level quantum density matrix
• Resurgence and Dynamics of O(N) and Grassmannian Sigma Models
• Fermion scattering on topological solitons in the ${\mathbb{CP}}^{N-1}$ model