Quantum tunneling beyond semiclassical approximation

2008/05/31 by Rabin Banerjee, Bibhas Ranjan Majhi · 385 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Black hole (networking) #Black hole thermodynamics #Classical mechanics #Cosmology and Gravitation Theories #Entropy (arrow of time) #Hawking radiation #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum dynamics #Quantum field theory in curved spacetime #Quantum gravity #Quantum mechanics #Quantum process #Quantum tunnelling #Semiclassical gravity #Semiclassical physics #gr-qc #hep-th

paper · pdf · doi:10.1088/1126-6708/2008/06/095

published in Journal of High Energy Physics 2008(06), 095 (Springer Nature) · LaTex, 17 pages, no figures, Important changes in section 3, new references added, version to appear in JHEP

arxiv created 2008/06/10 · openalex publication_date 2008/06/27 · arxiv updated 2014/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Hawking radiation as tunneling by Hamilton-Jacobi method beyond semiclassical approximation is analysed. We compute all quantum corrections in the single particle action revealing that these are proportional to the usual semiclassical contribution. We show that a simple choice of the proportionality constants reproduces the one loop back reaction effect in the spacetime, found by conformal field theory methods, which modifies the Hawking temperature of the black hole. Using the law of black hole mechanics we give the corrections to the Bekenstein-Hawking area law following from the modified Hawking temperature. Some examples are explicitly worked out.

Citations

• Factor Two Discrepancy of Hawking Radiation Temperature
• Hawking radiation and black hole entropy in a gravity’s rainbow
• Hawking temperature from tunnelling formalism
• SUBTLETIES IN THE QUASI-CLASSICAL CALCULATION OF HAWKING RADIATION
• Charged fermions tunnelling from Kerr–Newman black holes
• THERMAL RADIATION OF VARIOUS GRAVITATIONAL BACKGROUNDS
• The four laws of black hole mechanics
• Black hole explosions?
• Temperature and entropy of Schwarzschild–de Sitter space-time
• Particle creation by black holes
• Generalized second law of thermodynamics in black-hole physics
• Hawking Radiation as Tunneling
• Self-interaction correction to black hole radiance
• Black Holes and Entropy

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