Doubly Periodic Instanton Zero Modes

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pages, 4 figures

Scientific paper

10.1016/j.physletb.2005.08.094

Fermionic zero modes associated with doubly periodic SU(2) instantons of unit
charge are considered. In cases where the action density exhibits two
`instanton cores' the zero mode peaks on one of four line-segments joining the
two constituents. Which of the four possibilities is realised depends on the
fermionic boundary conditions; doubly periodic, doubly anti-periodic or mixed.

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