Nonabelian gauge field dynamics on matrix D-branes

Details Nonabelian gauge field dynamics on matrix D-branes Nonabelian gauge field dynamics on matrix D-branes

1996-12-11

arxiv.org/abs/hep-th/9612120v2

Nucl.Phys. B494 (1997) 105-118

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, Latex, 2 figures, including epsfig.sty, a wrong reference number corrected

Scientific paper

10.1016/S0550-3213(97)00171-5

We construct a calculational scheme for handling the matrix ordering problems connected with the appearance of D-brane positions taking values in the same Lie algebra as the nonabelian gauge field living on the D-brane. The formalism is based on the use of an one-dimensional auxiliary field living on the boundary of the string world sheet and taking care of the order of the matrix valued fields. The resulting system of equations of motion for both the gauge field and the D-brane position is derived in lowest order of the $\alpha'$ -expansion.

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