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On the fractional instanton liquid picture of the Yang-Mills vacuum and Confinement
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abstract
I review the main features of our model of the 4-dimensional Yang-Mills theory vacuum as a liquid of fractional instantons. The model provides a possible microscopic mechanism for Confinement in four dimensional Yang-Mills theory at $T=0$. It also connects this property to other non-perturbative properties of the theory which can be explained by the same model. This paper is a, somewhat enlarged, written up version of my recent talks on the subject given at ICTS-Bangalore, KITP-Santa Barbara and IMSC-Chennai.
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Cited by 1 Pith paper
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Fractional instantons in 2d $\mathbb{C}P^{N-1}$ model and 4d Yang-Mills theory with 't Hooft twists
Explicit theta-function solutions for fractional BPS lumps on a twisted torus are constructed, and the moduli space is a CP^(Nk+p-1) fiber bundle over a small torus, matching the index theorem.
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