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

Abstract

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 $d=3$.

11 pages, RevTeX3.0

References in corpus (7)

• The Moduli Space Metric for Well Separated BPS Monoples
• Moduli space metric for maximally-charged dilaton black holes
• Multicentered solution for maximally charged dilaton black holes in arbitrary dimensions
• Thermodynamics of Vortices in the Plane
• Quantum-Mechanical Scattering of Charged Black Holes
• Classical and quantum scattering of maximally charged dilaton black holes
• Phase Transitions in a Vortex Gas

Cited by in corpus (4)

• Levitating Dark Matter
• Effective field theory of slowly-moving "extreme black holes"
• Interparticle Potential up to Next-to-leading Order for Gravitational, Electrical, and Dilatonic Forces
• Equation of state for a classical gas of BPS black holes