Toward one-loop tunneling rates of near-extremal magnetic black hole pair production

Journal Article · Wed Mar 15 00:00:00 EST 1995 · Physical Review, D (Particles Fields); (United States)

DOI:https://doi.org/10.1103/PhysRevD.51.2813· OSTI ID:6476274

Yi, P ^[1]

---

1. 452-48 California Institute of Technology, Pasadena, California 91125 (United States) Center for Theoretical Physics, Seoul National University, Seoul 151-742 (Korea, Republic of)

Pair production of magnetic Reissner-Nordstroem black holes (of charges [plus minus][ital q]) was recently studied in the leading WKB approximation. Here we consider generic quantum fluctuations in the corresponding instanton geometry given by the Euclidean Ernst metric, in order to simulate the behavior of the one-loop tunneling rate. A detailed study of the Ernst metric suggests that for a sufficiently weak field [ital B], the problem can be reduced to that of quantum fluctuations around a single near-extremal Euclidean black hole in thermal equilibrium with a heat bath of finite size. After appropriate renormalization procedures, typical one-loop contributions to the WKB exponent are shown to be inversely proportional to [ital B], as [ital B][r arrow]0, indicating that the leading Schwinger term is corrected by a small fraction [similar to][h bar]/[ital q][sup 2]. We demonstrate that this correction to the Schwinger term is actually due to a semiclassical shift of the black hole mass-to-charge ratio that persists even in the extremal limit. Finally we discuss a few loose ends.

• DOE Contract Number: FG03-92ER40701
• OSTI ID: 6476274
• Journal Information: Physical Review, D (Particles Fields); (United States), Vol. 51:6; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BLACK HOLES
PAIR PRODUCTION
CORRECTIONS
FLUCTUATIONS
GEOMETRY
INSTANTONS
RENORMALIZATION
THERMAL EQUILIBRIUM
TUNNELING
WKB APPROXIMATION
EQUILIBRIUM
INTERACTIONS
MATHEMATICS
PARTICLE PRODUCTION
QUASI PARTICLES
VARIATIONS
661310* - Relativity & Gravitation- (1992-)
661100 - Classical & Quantum Mechanics- (1992-)