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Instantons and Magnetic Monopoles on R³times S¹ with Arbitrary Simple Gauge Groups
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Instantons and Magnetic Monopoles on R³times S¹ with Arbitrary Simple Gauge Groups
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We investigate Yang-Mills theories with arbitrary gauge group on $R^3\times S^1$, whose symmetry is spontaneously broken by the Wilson loop. We show that instantons are made of fundamental magnetic monopoles, each of which has a corresponding root in the extended Dynkin diagram. The number of constituent magnetic monopoles for a single instanton is the dual Coxeter number of the gauge group, which also accounts for the number of instanton zero modes. In addition, we show that there exists a novel type of the $S^1$ coordinate dependent magnetic monopole solutions in $G_2,F_4,E_8$.
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Cited by 1 Pith paper
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Self-dual monopole loops, instantons and confinement
Interactions among self-dual monopole-like constituents of instantons remove the infrared divergence and, the authors conjecture, drive confinement in 4d Yang-Mills.
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