Low-Energy Absorption Cross Section for massive scalar and Dirac fermion by $(4+n)$-dimensional Schwarzschild Black Hole
| dc.creator | Jung, Eylee | |
| dc.creator | Kim, SungHoon | |
| dc.creator | Park, D. K. | |
| dc.date | 2004-06-14 | |
| dc.date | 2004-12-16 | |
| dc.date.accessioned | 2026-07-07T10:49:58Z | |
| dc.date.available | 2026-07-07T10:49:58Z | |
| dc.description | Motivated by the brane-world scenarios, we study the absorption problem when the spacetime background is $(4+n)$-dimensional Schwarzschild black hole. We compute the low-energy absorption cross sections for the brane-localized massive scalar, brane-localized massive Dirac fermion, and massive bulk scalar. For the case of brane-localized massive Dirac fermion we introduce the particle's spin in the traditional Dirac form without invoking the Newman-Penrose method. Our direct introduction of spin enables us to compute contributions to the $j$th-level partial absorption cross section from orbital angular momenta $\ell = j \pm 1/2$. It is shown that the contribution from the low $\ell$-level is larger than that from the high $\ell$-level in the massive case. In the massless case these two contributions are exactly same with each other. The ratio of low-energy absorption cross sections for Dirac fermion and for scalar is dependent on the number of extra dimensions as $2^{(n-3)/ (n+1)}$. Thus the ratio factor 1/8 is recovered when $n=0$, which Unruh found. The physical importance of this ratio factor is discussed in the context of the brane-world scenario. For the case of bulk scalar our low-energy absorption cross section for S-wave is exactly same with area of the horizon hypersurface in the massless limt, which is an higher-dimensional generaliztion of universality. Our results for all cases turn out to have correct massless and 4d limits. | |
| dc.description | 27 pages, 1 postscript figure, v2: computational mistakes are corrected | |
| dc.identifier | https://arxiv.org/abs/hep-th/0406117 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0406117 | |
| dc.identifier | JHEP0409:005,2004 | |
| dc.identifier | doi:10.1088/1126-6708/2004/09/005 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/184401 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Low-Energy Absorption Cross Section for massive scalar and Dirac fermion by $(4+n)$-dimensional Schwarzschild Black Hole | |
| dc.type | text |