Quantum tunneling beyond semiclassical approximation

By R. Banerjee, Bibhas Ranjan Majhi. 2008

371 citations recorded by the source corpus.

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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/086b8ed0f76fb57935415db8f1fa5d1258d57661

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In Astronomy and Astrophysics

In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Quantum tunneling and trace anomaly (2008, methodology): “Finally, exploiting the corrected temperature and periodicity arguments we also find the modification to the original Schwarzschild metric which captures the effect of quantum corrections.”
Logarithmic corrections to extremal black hole entropy from quantum entropy function (2010, background): “Logarithmic corrections to the (extremal) black hole entropy have been analyzed before from different points of view [49, 70–72, 77, 79–86].”
Generalized Uncertainty Principle: Approaches and Applications (2014, background): “• Logarithmic-type corrections: We start with the corrected entropy-area relation [153–155] S = A 4G + α ln A 4G + β 4G A , (114)”