Uv/ir connection, a matrix perspective∗

Yaron Kinar; Jacob Sonnenschein; Gilad Lifschytz

doi:10.1088/1126-6708/2001/08/001

Uv/ir connection, a matrix perspective^∗

Yaron Kinar, Jacob Sonnenschein, Gilad Lifschytz

Department of Physics

Research output: Contribution to journal › Article › peer-review

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	https://doi.org/10.1088/1126-6708/2001/08/001
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

Access to Document

10.1088/1126-6708/2001/08/001

Cite this

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KW - Non-Commutative Geometry

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