Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-04-08
JHEP 9804:013,1998
Physics
High Energy Physics
High Energy Physics - Theory
13 pages, Latex, some typos corrected
Scientific paper
10.1088/1126-6708/1998/04/013
The formal extension of the T-duality rules for open strings from Abelian to non-Abelian gauge field background leads in a well known manner to the notion of matrix valued D-brane position. The application of this concept to the non-Abelian gauge field RG $\beta $-function of the corresponding $\sigma $-model yields a mass term in the gauge field dynamics on the matrix D-brane. The direct calculation in a corresponding D-brane model does $not$ yield such a mass term, if the Dirichlet boundary condition is implemented as a constraint on the integrand in the defining functional integral. However, the mass term arises in the direct calculation for a D-brane model with dynamically realized boundary condition.
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