Connecting anomaly and tunneling methods for the Hawking effect through chirality

Abstract

The role of chirality is discussed in unifying the anomaly and the tunneling formalisms for deriving the Hawking effect. Using the chirality condition and starting from the familiar form of the trace anomaly, the chiral (gravitational) anomaly, manifested as a nonconservation of the stress tensor, near the horizon of a black hole, is derived. Solution of this equation yields the stress tensor whose asymptotic infinity limit gives the Hawking flux. Finally, use of the same chirality condition in the tunneling formalism gives the Hawking temperature that is compatible with the flux obtained by anomaly method.

Logarithmic corrections to black hole and black ring entropy in tunneling approach

“…Then, the entropy can be determined by integrating the relation dE = T cr dS cr , which has a form as (1.1). This formulism has been applied on various black holes [29,28,30,31,32] and FRW universe model [33]. However, after examining their papers carefully, we find that these derivations rely on one procedure, i.e., they expressed H as a polynomial of selected black hole parameters.…”

“…Then performing the dimension analysis as in [29,28,30,31,32], we can show that the leading order correction to black hole entropy is logarithmic. Comparing to previous calculations, the treatment here is more natural and general.…”

“…In fact, all what we know is that H can be expressed in terms of black hole parameters. There is no reason why H "should" be a polynomial, and why H took those different particular forms in various models [29,28,30,31,32]. In order to fill this gap in the calculations of the quantum corrected entropy using the tunneling approach beyond semiclassical approximation, we propose to take H as a general function of a complete set of black hole parameters, i.e.…”

Charged Particle’s Tunneling in a Modified Reissner-Nordstrom Black Hole

“…But, it is well known that, the quantum effects of spacetime should be considered and the B-H entropy can be endowed with quantum corrections [23][24][25]. Thence, by the Hamilton-Jacobi method, the quantum correction to the tunneling program was discussed and the quantum corrected entropy of black holes was calculated [26][27][28][29][30][31][32][33]. Also, in the radial trajectory method, the quantum effects of spacetime was considered and the emission rate was related the quantum corrected entropy of black hole [34][35][36][37][38][39][40][41][42][43].…”

Quantum Corrections for a Bardeen Regular Black Hole

“…Liu and Zhu [10] found the emission rate of massless particles tunneling through the corrected horizon. Banerjee and Majhi [11] discussed the role of chirality by connecting the anomaly and the tunneling formalisms for Hawking radiation from BH. The same authors [12] also obtained the Hawking black body spectrum with the appropriate temperature for a BH.…”