High Temperature Limit of the $ N= 2 $ IIA Matrix Model

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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Lattice 2000 (Gravity and Matrix Models)

Scientific paper

10.1016/S0920-5632(01)00879-9

The high temperature limit of a system of two D-0 branes is investigated. The partition function can be expressed as a power series in $\beta$ (inverse temperature). The leading term in the high temperature expression of the partition function and effective potential is calculated {\em exactly}. Physical quantities like the mean square separation can also be exactly determined in the high temperature limit. We comment on SU(3) IIB matrix model and the difficulties to study it.

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