Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2408.06165 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917106722799616 |
|---|---|
| author | Mukherjee, Jyotirmoy |
| author_facet | Mukherjee, Jyotirmoy |
| contents | In this paper, we evaluate the one-loop partition function of a scalar field in the near-horizon geometry of the extremal Reissner Nordström black hole from an infinite product over quasinormal modes using the Denef-Hartnoll-Sachdev (DHS) formula. We show that the logarithmic divergent term of the one-loop partition function computed using the DHS formula agrees with the heat kernel method. Using the same formula, we also evaluate the one-loop partition function of a scalar field in the near-extremal Kerr-Newman black hole and observe that it reduces to the same in the near-horizon $AdS_2\times S^2$ geometry of the extremal Reissner Nordström black hole when the angular velocity at the horizon is tuned to $2πT_{BH}$ value. We observe that, for higher spin fields, the mode functions are not smooth at the horizon for certain quasinormal frequencies; therefore, we remove them to obtain the one-loop determinant. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_06165 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | One loop determinant in the extremal black hole from quasinormal modes Mukherjee, Jyotirmoy High Energy Physics - Theory In this paper, we evaluate the one-loop partition function of a scalar field in the near-horizon geometry of the extremal Reissner Nordström black hole from an infinite product over quasinormal modes using the Denef-Hartnoll-Sachdev (DHS) formula. We show that the logarithmic divergent term of the one-loop partition function computed using the DHS formula agrees with the heat kernel method. Using the same formula, we also evaluate the one-loop partition function of a scalar field in the near-extremal Kerr-Newman black hole and observe that it reduces to the same in the near-horizon $AdS_2\times S^2$ geometry of the extremal Reissner Nordström black hole when the angular velocity at the horizon is tuned to $2πT_{BH}$ value. We observe that, for higher spin fields, the mode functions are not smooth at the horizon for certain quasinormal frequencies; therefore, we remove them to obtain the one-loop determinant. |
| title | One loop determinant in the extremal black hole from quasinormal modes |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2408.06165 |