Noncommutative world volume interactions on D-branes and Dirac-Born-Infeld action

Sep, 1999
20 pages
Published in:
  • Nucl.Phys.B 579 (2000) 209-228
e-Print:
Report number:
  • IPM-P-99-051

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Abstract:
By integrating the Seiberg-Witten differential equation in a special path, we write ordinary gauge fields in terms of their non-commutative counterparts up to three non-commutative gauge fields. We then use this change of variables to write ordinary abelian Dirac-Born-Infeld action in terms of non-commutative fields. The resulting action is then compared with various low energy contact terms of world-sheet perturbative string scattering amplitudes from non-commutative Dpp-brane. We find completely agreement between the field theory and string theory results. Hence, it shows that perturbative string theory knows the solution of the Seiberg-Witten differential equation.
Note:
  • 22 pages, Latex, no figures, Abstract and Introduction sections revised, to appear in Nucl. Phys. B Report-no: IPM/P-99/051
  • membrane model: D-brane
  • membrane model: p-brane
  • string model
  • scattering amplitude
  • tachyon
  • differential geometry: noncommutative