Thermal Radiation from a Fluctuating Event Horizon

Abstract

We consider a pointlike two-level system undergoing uniformly accelerated motion. We evaluate the transition probability for a finite time interval of this system coupled to a massless scalar field near a fluctuating event horizon. Horizon fluctuations are modeled using a random noise which generates light-cone fluctuations. We study the case of centered, stationary and Gaussian random processes. The transition probability of the system is obtained from the positive-frequency Wightman function calculated to one loop order in the noise averaging process. Our results show that the fluctuating horizon modifies the thermal radiation but leaves unchanged the temperature associated with the acceleration.

8 pages, 3 figures

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• Spatial correlations of field observables in two half-spaces separated by a movable perfect mirror
• A Maximum Force Perspective on Black Hole Thermodynamics, Quantum Pressure, and Near-Extremality
• Stochastic motion in an expanding noncommutative fluid
• Multiplicative Noise in Euclidean Schwarzschild Manifold
• Casimir Energy Corrections by Light-Cone Fluctuations
• The Fermi problem in disordered systems
• Accelerated paths and Unruh effect I: scalars and fermions in Anti De Sitter spacetime
• Light-cone fluctuations and the renormalized stress tensor of a massless scalar field
• Finite-Size Effects in Disordered $\lambda {\varphi }^4$ Model
• Metric fluctuations in higher-dimensional black holes
• A dynamic theory of entanglement for uniformly accelerated atoms