Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-05-27
Nucl.Phys. B703 (2004) 236-276
Physics
High Energy Physics
High Energy Physics - Theory
51 pages, 5 figures, LaTeX2e. Version 4: Formulae in Section 8 simplified
Scientific paper
10.1016/j.nuclphysb.2004.10.012
A collapsing spherical D2-brane carrying magnetic flux can be described in the region of small radius in a dual zero-brane picture using Tseytlin's proposal for a non-Abelian Dirac-Born-Infeld action for N D0-branes. A standard large N approximation of the D0-brane action, familiar from the brane dielectric effect, gives a time evolution which agrees with the Abelian D2-brane Born-Infeld equations which describe a D2-brane collapsing to zero size. The first 1/N correction from the symmetrised trace prescription in the zero-brane action leads to a class of classical solutions where the minimum radius of a collapsing D2-brane is lifted away from zero. We discuss the validity of this approximation to the zero-brane action in the region of the minimum, and explore higher order 1/N corrections as well as an exact finite N example. The 1/N corrected Lagrangians and the finite N example have an effective mass squared which becomes negative in some regions of phase space. We discuss the physics of this tachyonic behaviour.
Ramgoolam Sanjaye
Spence Bill
Thomas Steven
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