Uv/ir connection, a matrix perspective

Yaron Kinar, Jacob Sonnenschein, Gilad Lifschytz

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

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 languageEnglish
Pages (from-to)1-19
Number of pages19
JournalJournal of High Energy Physics
Volume5
Issue number8
DOIs
StatePublished - 2001

Keywords

  • M(atrix) Theories
  • Non-Commutative Geometry

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