The CP(N-1) model on a Disc and Decay of a Non-Abelian String

Abstract

We consider the role of quantum effects in the non-perturbative decay of non-abelian string with orientational moduli in non-supersymmetric D=4 gauge theory. To this aim the effective action in the $CP(N-1)$ model on a disc at large N has been calculated. It exhibits phase transition at some radius, the "wrong sign" Luscher term and large boundary boojum-like negative contribution. The effect of $\theta$ - term and the possibility of the spontaneous creation of the non-abelian string are briefly discussed.

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Cited by in corpus (5)

• Ground state modulations in the $\mathbb{C}{P}^{N-1}$ model
• Confining solitons in the Higgs phase of $\mathbb{C}{P}^{N-1}$ model: Self-consistent exact solutions in large-$N$ limit
• The Casimir effect for nonlinear sigma models and the Mermin-Wagner-Hohenberg-Coleman theorem
• Remarks on the large-$N$ $\mathbb{C}{P}^{N-1}$ model
• CP(N) model on regions with boundary