The Gregory-Laflamme instability for the D2-D0 bound state

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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19 pages, Latex2e. v2: two refs added. v3: clearer exposition in section 4

Scientific paper

10.1088/1126-6708/2005/02/040

The D2-D0 bound state exhibits a Gregory-Laflamme instability when it is sufficiently non-extremal. If there are no D0-branes, the requisite non-extremality is finite. When most of the extremal mass comes from D0-branes, the requisite non-extremality is very small. The location of the threshhold for the instability is determined using a local thermodynamic analysis which is then checked against a numerical analysis of the linearized equations of motion. The thermodynamic analysis reveals an instability of non-commutative field theory at finite temperature, which may occur only at very long wavelengths as the decoupling limit is approached.

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