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Paper   IPM / Physic / 6700
School of Physics
  Title:   Non-Commutative World-Volume Interactions on D-Branes and Dirac-Born-Infeld Action
  Author(s):  M.R. Garousi
  Status:   Published
  Journal: Nucl. Phys. B
  No.:  40
  Vol.:  579
  Year:  2000
  Pages:   209-228
  Supported by:  IPM
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 Dp-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.

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