Effective action and Hawking radiation for dilaton coupled scalars in two dimensions

Abstract

The effective one-loop action for general dilaton theories with arbitrary dilaton-dependent measure and nonminimal coupling to scalar matter is computed. As an application we determine the Hawking flux to infinity from black holes in d-dimensions. We resolve the recently resurrected problem of an apparent negative flux for nonminimally coupled scalars: For any $D\ge 4$ Black Hole the complete flux turns out to be precisely the one of minimal coupling. This result is obtained from a Christensen-Fulling type argument involving the (non-)conservation of energy-momentum. It is compared with approaches using the effective action.

latex, no figures, no macros, clarifying remarks on the effective action approach are added

References in corpus (12)

• (Anti-)Evaporation of Schwarzschild-de Sitter Black Holes
• Hawking radiation by effective two-dimensional theories
• Energy-momentum tensor for scalar fields coupled to the dilaton in two dimensions
• Proliferation of de Sitter Space
• Integrating Geometry in General 2D Dilaton Gravity with Matter
• Quantum (in)stability of 2D charged dilaton black holes and 3D rotating black holes
• One-loop corrections for Schwarzschild black hole via 2D dilaton gravity
• Can Quantum-Corrected BTZ Black Hole Anti-Evaporate?
• Conformal anomaly in 2d dilaton-scalar theory
• Comment on: ``Trace anomaly of dilaton coupled scalars in two dimensions''
• Finite Temperature Nonlocal Effective Action for Scalar Fields
• Trace anomaly induced effective action and 2d black holes for dilaton coupled supersymmetric theories

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