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Advanced Topics in Quantum Field Theory by M. Shifman

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Vortices and flux tubes (strings)

Global, local, and (in passing) semilocal vortices. — Abelian and non-Abelian strings. — How they gravitate. — Index theorem. — Fermion zero modes on the string.

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10 Vortices and strings

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In field theory solitons of a “curly type” are called vortices, for a good reason. They are close relatives of tornadoes and of the vortices on a water surface that are a matter of every-day experience. Vortices can develop in field theories with spontaneously broken continuous symmetries in which vacuum manifolds have a ...

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