Thermal Instability of Giant Graviton in Matrix Model on PP-wave Background

Details Thermal Instability of Giant Graviton in Matrix Model on PP-wave Background Thermal Instability of Giant Graviton in Matrix Model on PP-wave Background

2003-10-23

arxiv.org/abs/hep-th/0310212v3

Phys.Rev. D69 (2004) 067701

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 8 pages, typos corrected, mention the elliptic deformation of giant graviton

Scientific paper

10.1103/PhysRevD.69.067701

The thermal instability of the giant graviton is investigated within the BMN matrix model. We calculate the one-loop thermal correction of the quantum fluctuation around the trivial vacuum and giant graviton respectively. From the exact formula of the free energy we see that at low temperature the giant graviton is unstable and will dissolve into vacuum fluctuation. However, at sufficient high temperature the trivial vacuum fluctuation will condense to form the giant graviton configuration. The transition temperature of the giant graviton is determined in our calculation.

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