The String Phases of Hawking Radiation, De Sitter Stage and De Broglie Type Duality

Details The String Phases of Hawking Radiation, De Sitter Stage and De Broglie Type Duality The String Phases of Hawking Radiation, De Sitter Stage and De Broglie Type Duality

2004-08-17

arxiv.org/abs/hep-th/0408128v1

Physics

High Energy Physics

High Energy Physics - Theory

To appear in the volume in honor of Professor Alberto Galindo Tixaire on the occasion of his 70th birthday

Scientific paper

We explicitly describe the last stages of black hole evaporation in the context of string theory : the combined study of Quantum Field Theory (QFT) and String Theory (ST) in curved backgrounds allows us to go further in the understanding of quantum gravity effects. The string ``analogue model''(or thermo-dynamical approach) is a well suited framework for this purpose.The results also apply to another physically relevant case: de Sitter background. Semiclassical (QFT) and quantum gravity (String) phases or regimes are properly determined (back reaction effects included). The Hawking-Gibbons temperature ${T_H}$ of the semiclassical regime becomes the intrinsic string temperature ${T_S}$ in the quantum gravity regime.The spectrum of black hole evaporation is an incomplete gamma function of $(T_S - T_H)$: the early evaporation is thermal (Hawking radiation), while at the end the black hole undergoes a phase transition to a string state decaying (as string decay) into pure (non mixed) particle states.Remarquably, explicit dynamical computations show that both gravity regimes: semiclassical (QFT) and quantum (string), are dual of each other, in the precise sense of the classical-quantum (de Broglie type) duality.

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