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arxiv: hep-th/0105089 · v2 · submitted 2001-05-10 · ✦ hep-th

UV/IR connection, a matrix perspective

classification ✦ hep-th
keywords formulationmatrixbecomesclarifyconfiguration-momentumconnectioncontinuumcorresponding
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We show that the matrix formulation of non-commutative field theories is equivalent, in the continuum, to a formulation in a mixed configuration-momentum space. In this formulation, the non-locality of the interactions, that leads to the IR/UV mixing, becomes transparent. We clarify the relation between long range effects (and IR divergences) and the non-planarity of the corresponding Feynman diagrams.

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