Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-06-11
Phys.Lett. B481 (2000) 369-378
Physics
High Energy Physics
High Energy Physics - Theory
15pages,in v4 completely revised, the mass formula proposed; in v5 slightly modified, appearing in Phys. Lett. B 481 (2000) 36
Scientific paper
10.1016/S0370-2693(00)00432-9
We propose a (generalized) ``mass formula'' for a fundamental string described as a BPS solution of a D-brane's worldvolume. The mass formula is obtained by using the Hamiltonian density on the worldvolume, based on transformation properties required for it. Its validity is confirmed by investigating the cases of point charge solutions of D-branes in a D-8-brane (i.e. curved) background, where the mass of each of the corresponding strings is proportional to the geodesic distance from the D-brane to the point parametrized by the (regularized) value of a transverse scalar field. It is also shown that the mass of the string agrees with the energy defined on the D-brane's worldvolume only in the flat background limit, but the agreement does not always hold when the background is curved.
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