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Freckled Instantons in Two and Four Dimensions

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arxiv hep-th/9911099 v1 pith:RXFMTNQT submitted 1999-11-13 hep-th

Freckled Instantons in Two and Four Dimensions

classification hep-th
keywords degreesdimensionalfourfreedomtheorydefectsdimensionsextra
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Field theory with instantons can be partially regularized by adding degrees of freedom at some scale. These extra degrees of freedom lead to the appearence of the new topological defects. These defects which we call freckles have some characteristic size depending on the scale at which the extra degrees of freedom revive. The examples of two dimensional sigma model, four dimensional gauge theory are studied. The compactification of the four dimensional supersymmetric gauge theory down to two dimensions is also considered and the new phenomena are found.

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