6,785 research outputs found
Quantum Tunneling Beyond Semiclassical Approximation
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.Comment: LaTex, 17 pages, no figures, Important changes in section 3, new
references added, version to appear in JHE
The Interaction of Carbon Dioxide and Hydrogen on Solid Surfaces
Abstract Not Provided
Connecting anomaly and tunneling methods for Hawking effect through chirality
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.Comment: LaTex, 8 pages, no figures, reformulation of tunneling mechanism, to
appear in Phys. Rev.
Quantum tunneling and black hole spectroscopy
The entropy-area spectrum of a black hole has been a long-standing and
unsolved problem. Based on a recent methodology introduced by two of the
authors, for the black hole radiation (Hawking effect) as tunneling effect, we
obtain the entropy spectrum of a black hole. In Einstein's gravity, we show
that both entropy and area spectrum are evenly spaced. But in more general
theories (like Einstein-Gauss-Bonnet gravity), although the entropy spectrum is
equispaced, the corresponding area spectrum is not.Comment: 10 pages, LaTeX, no figures; v2: 9 pages, now, title changed, minor
changes to match published version in Phys. Lett.
A Note on the Lower Bound of Black Hole Area Change in Tunneling Formalism
In the framework of tunneling mechanism and employing Bekenstein's general
expression for the variation of the black hole area, we determine the area
quantum up to a constant. Depending on the value of this constant one can get
either Bekenstein's lower bound or Hod's one for the change in the black hole
area.Comment: 4 pages, LaTeX, no figures; v2: 6 pages, clarifications and
references added, no changes in physics and results, to appear in EP
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