Fermion tunneling beyond semiclassical approximation

2008/09/30 by Bibhas Ranjan Majhi · 159 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Effective action #Entropy (arrow of time) #Event horizon #Fermion #Hawking radiation #Mathematical physics #Noncommutative and Quantum Gravity Theories #Physics #Quantum #Quantum electrodynamics #Quantum mechanics #Schwarzschild metric #Semiclassical physics #Spacetime #gr-qc #hep-th

paper · pdf · doi:10.1103/physrevd.79.044005

published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 79(4) (American Physical Society) · LaTex,10 pages, no figure, minor changes, references added, to appear in Phys. rev. D

arxiv created 2009/01/27 · openalex publication_date 2009/02/04 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

Applying the Hamilton-Jacobi method beyond the semiclassical approximation prescribed in R. Banerjee and B. R. Majhi, J. High Energy Phys. 06 (2008) 095 for the scalar particle, Hawking radiation as tunneling of the Dirac particle through an event horizon is analyzed. We show that, as before, all quantum corrections in the single particle action are proportional to the usual semiclassical contribution. We also compute the modifications to the Hawking temperature and Bekenstein-Hawking entropy for the Schwarzschild black hole. Finally, the coefficient of the logarithmic correction to entropy is shown to be related with the trace anomaly.

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
• MASSIVE UNCHARGED AND CHARGED PARTICLES' TUNNELING FROM THE HOROWITZ–STROMINGER DILATON BLACK HOLE
• Logarithmic correction to the Bekenstein-Hawking entropy of the BTZ black hole
• Charged fermions tunnelling from Kerr–Newman black holes
• THERMAL RADIATION OF VARIOUS GRAVITATIONAL BACKGROUNDS
• The four laws of black hole mechanics
• Dirac particle tunneling from black rings
• Black hole quantum tunnelling and black hole entropy correction
• Quantum tunneling beyond semiclassical approximation
• Corrected entropy of BTZ black hole in tunneling approach
• Temperature and entropy of Schwarzschild–de Sitter space-time
• Dirac particles tunneling from BTZ black hole
• Generalized second law of thermodynamics in black-hole physics
• Hawking Radiation as Tunneling
• Black Holes and Entropy
• A SECRET TUNNEL THROUGH THE HORIZON

Cited by

• Reconstructing interacting entropy-corrected holographic scalar field models of dark energy in the non-flat universe
• Hamilton–Jacobi tunneling method for dynamical horizons in different coordinate gauges
• Hawking evaporation cascade in the presence of backreaction effect
• Tunnelling methods and Hawking's radiation: achievements and prospects