Abstract
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.
| Original language | English |
|---|---|
| Article number | 001 |
| Journal | Journal of High Energy Physics |
| Volume | 5 |
| Issue number | 8 |
| DOIs | |
| State | Published - 2001 |
Bibliographical note
Publisher Copyright:© 2018 Elsevier B.V., All rights reserved.
Keywords
- M(atrix) Theories
- Non-Commutative Geometry
ASJC Scopus subject areas
- Nuclear and High Energy Physics
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