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Monopole Constituents inside SU(n) Calorons
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We present a simple result for the action density of the SU(n) charge one periodic instantons - or calorons - with arbitrary non-trivial Polyakov loop P_oo at spatial infinity. It is shown explicitly that there are n lumps inside the caloron, each of which represents a BPS monopole, their masses being related to the eigenvalues of P_oo. A suitable combination of the ADHM construction and the Nahm transformation is used to obtain this result.
Forward citations
Cited by 3 Pith papers
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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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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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Metamorphosis of fractional instantons on a twisted $T^4$ with a double-trace deformation: a numerical study
Numerical lattice study shows fractional instantons on twisted T^4 morph into monopole-instantons and center vortices as geometry interpolates between R^{4-k} x T^k, with some transitions discontinuous under deformation.
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