Hidden Degeneracy in the Brick Wall Model of Black Holes

Abstract

Quantum field theory in the near-horizon region of a black hole predicts the existence of an infinite number of degenerate modes. Such a degeneracy is regulated in the brick wall model by the introduction of a short distance cutoff. In this Letter we show that states of the brick wall model with non zero energy admit a further degeneracy for any given finite value of the cutoff. The black hole entropy is calculated within the brick wall model taking this degeneracy into account. Modes with complex frequencies however do not exhibit such a degeneracy.

arXiv comment8 pages, Latex file

References in corpus (4)

• Black Hole Entropy in Canonical Quantum Gravity and Superstring Theory
• The scattering matrix approach for the quantum black hole, an overview
• Near-Horizon Conformal Structure of Black Holes
• Aspects of hidden and manifest SL(2,R) symmetry in 2D near-horizon black-hole background

Cited by in corpus (7)

• Black Hole Thermodynamics from Near-Horizon Conformal Quantum Mechanics
• Semiclassical Methods in Curved Spacetime and Black Hole Thermodynamics
• Sub-leading contributions to the black hole entropy in the brick wall approach
• Universal near-horizon conformal structure and black hole entropy
• Conformal Tightness of Holographic Scaling in Black Hole Thermodynamics
• Scalar field dynamics in warped AdS_3 black hole background
• Solution Independent Analysis of Black Hole Entropy in Brick Wall Model