Statistical Mechanics of Charged Particles in Einstein-Maxwell-Scalar Theory

Details Statistical Mechanics of Charged Particles in Einstein-Maxwell-Scalar Theory Statistical Mechanics of Charged Particles in Einstein-Maxwell-Scalar Theory

1995-10-04

arxiv.org/abs/gr-qc/9510005v1

Phys.Rev. D53 (1996) 3070-3073

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, RevTeX3.0

Scientific paper

10.1103/PhysRevD.53.3070

We consider an $N$-body system of charged particle coupled to gravitational, electromagnetic, and scalar fields. The metric on moduli space for the system can be considered if a relation among the charges and mass is satisfied, which includes the BPS relation for monopoles and the extreme condition for charged black holes. Using the metric on moduli space in the long distance approximation, we study the statistical mechanics of the charged particles at low velocities. The partition function is evaluated as the leading order of the large $d$ expansion, where $d$ is the spatial dimension of the system and will be substituted finally as $d=3$.

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