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High Energy Physics - Theory

Title: D-brane Physics and Noncommutative Yang-Mills Theory

Authors: L. Cornalba (I.H.E.S.)
Abstract: We discuss the physics of a single Dp-brane in the presence of a background electromagnetic field B_{ij}. It has recently been shown \cite{SW} that, in a specific \alpha ' \to 0 limit, the physics of the brane is correctly described by noncommutative Yang-Mills theory, where the noncommutative gauge potential is given explicitly in terms of the ordinary U(1) field. In a previous paper \cite{SC} the physics of a D2-brane was analyzed in the Sen-Seiberg limit of M(atrix) theory by considering a specific coordinate change on the brane world-volume. We show in this note that the limit considered in \cite{SC} is the same as the one described in \cite{SW}, in the specific case p=2, rk B_{ij} = 2. Moreover we show that the coordinate change in \cite{SC} can be reinterpreted, in the spirit of \cite{SW}, as a field redefinition of the ordinary Yang-Mills field, and we prove that the transformations agree for large backgrounds. The results are finally used to considerably streamline the proof of the equivalence of the standard Born-Infeld action with noncommutative Yang-Mills theory, in the large wave-length regime.
Comments: 10 pages
Subjects: High Energy Physics - Theory (hep-th)
Journal reference: Adv.Theor.Math.Phys. 4 (2000) 271-281
Cite as: arXiv:hep-th/9909081
  (or arXiv:hep-th/9909081v1 for this version)

Submission history

From: Lorenzo Cornalba [view email]
[v1] Mon, 13 Sep 1999 12:03:19 GMT (7kb)