UV/IR connection, a matrix perspective

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Latex,1+21 pages, 3 figures; v2: minor changes, to appear in JHEP

Scientific paper

10.1088/1126-6708/2001/08/001

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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