Fermion's Tunnelling with Effects of Quantum Gravity
In this paper, using Hamilton-Jacobi method, we address the tunnelling of fermions in a 4-dimensional Schwarzschild spacetime. Based on the generalized uncertainty principle, we introduce the influence of quantum gravity. After solving the equation of motion of the spin-1/2 field, we derive the corr...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2013/432412 |
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| Summary: | In this paper, using Hamilton-Jacobi method, we address the tunnelling of fermions in a 4-dimensional Schwarzschild spacetime. Based on the generalized uncertainty principle, we introduce
the influence of quantum gravity. After solving the equation of motion of the spin-1/2 field, we
derive the corrected Hawking temperature. It turns out that the correction depends not only on
the black hole’s mass but also on the mass (energy) of emitted fermions. It is of interest that, in
our calculation, the quantum gravity correction decelerates the temperature increase during the radiation
explicitly. This observation then naturally leads to the remnants in black hole evaporation.
Our calculation shows that the residue mass is ≳Mp/β0, where Mp is the Planck mass and β0 is a dimensionless parameter accounting for quantum gravity effects. The evaporation singularity is
then avoided. |
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| ISSN: | 1687-7357 1687-7365 |