Semiclassical (QFT) and Quantum (String) anti - de Sitter Regimes: New Results

Abstract

We compute the quantum string entropy S_s(m, H) from the microscopic string density of states of mass m in Anti de Sitter space-time. For high m, (high Hm -->c/α'), no phase transition occurs at the Anti de Sitter string temperature T_{s} which is higher than the flat space (Hagedorn) temperature t_{s}. (the Hubble constant H acts as producing a smaller string constant and thus, a higher tension). T_s is the precise quantum dual of the semiclassical (QFT) Anti de Sitter temperature scale . We compute the quantum string emission by a black hole in Anti de Sitter space-time (bhAdS). In the early evaporation stage, it shows the QFT Hawking emission with temperature T_{sem~bhAdS}, (semiclassical regime). For T_{sem~bhAdS}--> T_{s}, it exhibits a phase transition into a Anti de Sitter string state. New string bounds on the black hole emerge in the bhAdS string regime. We find a new formula for the full (quantum regime included) Anti de Sitter entropy S_{sem}, as a function of the usual Bekenstein-Hawking entropy S_{sem}^(0). For low H (semiclassical regime), S_{sem}^(0) is the leading term but for high H (quantum regime), no phase transition operates, in contrast to de Sitter space, and the entropy S_{sem} is very different from the Bekenstein-Hawking term S_{sem}^(0).

Comments 26 pages; no figures

References in corpus (10)

• Information Loss in Black Holes
• Statistical Mechanics of the Self-Gravitating Gas: I. Thermodynamic Limit and Phase Diagram
• Semi-Classical Quantization of Circular Strings in De Sitter and Anti De Sitter Spacetimes
• Statistical Mechanics of the Self-Gravitating Gas: II. Local Physical Magnitudes and Fractal Structures
• Mass Spectrum of Strings in Anti de Sitter Spacetime
• Strings Propagating in the 2+1 Dimensional Black Hole Anti de Sitter Spacetime
• Quantum String Dynamics in the conformal invariant SL(2,R) WZWN Background: Anti-de Sitter Space with Torsion
• QFT, String Temperature and the String Phase of De Sitter Space-time
• Conceptual unification of elementary particles, black holes, quantum de Sitter and Anti de Sitter string states
• The Cluster Expansion for the Self-Gravitating gas and the Thermodynamic Limit

Cited by in corpus (2)

• Semiclassical and Quantum Black Holes and their Evaporation, de Sitter and Anti-de Sitter Regimes, Gravitational and String Phase Transitions
• The SL(2,R)WZWN string model as a deformed oscillator and its classical-quantum string regimes