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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| Format: | Article |
| Language: | English |
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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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| author | Deyou Chen Houwen Wu Haitang Yang |
| author_facet | Deyou Chen Houwen Wu Haitang Yang |
| author_sort | Deyou Chen |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-4fd570e215c34e66ad2558e38b200953 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-4fd570e215c34e66ad2558e38b2009532025-02-03T01:22:23ZengWileyAdvances in High Energy Physics1687-73571687-73652013-01-01201310.1155/2013/432412432412Fermion's Tunnelling with Effects of Quantum GravityDeyou Chen0Houwen Wu1Haitang Yang2Institute of Theoretical Physics, China West Normal University, Nanchong 637009, ChinaCenter for Theoretical Physics, College of Physical Science and Technology, Sichuan University, Chengdu 610064, ChinaCenter for Theoretical Physics, College of Physical Science and Technology, Sichuan University, Chengdu 610064, ChinaIn 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.http://dx.doi.org/10.1155/2013/432412 |
| spellingShingle | Deyou Chen Houwen Wu Haitang Yang Fermion's Tunnelling with Effects of Quantum Gravity Advances in High Energy Physics |
| title | Fermion's Tunnelling with Effects of Quantum Gravity |
| title_full | Fermion's Tunnelling with Effects of Quantum Gravity |
| title_fullStr | Fermion's Tunnelling with Effects of Quantum Gravity |
| title_full_unstemmed | Fermion's Tunnelling with Effects of Quantum Gravity |
| title_short | Fermion's Tunnelling with Effects of Quantum Gravity |
| title_sort | fermion s tunnelling with effects of quantum gravity |
| url | http://dx.doi.org/10.1155/2013/432412 |
| work_keys_str_mv | AT deyouchen fermionstunnellingwitheffectsofquantumgravity AT houwenwu fermionstunnellingwitheffectsofquantumgravity AT haitangyang fermionstunnellingwitheffectsofquantumgravity |