The heat kernel in Riemann normal coordinates and multiloop Feynman graphs in curved spacetime
Abstract We present a formalism for computing arbitrary scalar multi-loop Feynman graphs in curved spacetime using the heat kernel approach. To this end, we compute the off-diagonal components of the heat kernel in Riemann normal coordinates up to second order in the curvature.
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-12-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP12(2024)140 |
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| _version_ | 1841559877406687232 |
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| author | Igor Carneiro Gero von Gersdorff |
| author_facet | Igor Carneiro Gero von Gersdorff |
| author_sort | Igor Carneiro |
| collection | DOAJ |
| description | Abstract We present a formalism for computing arbitrary scalar multi-loop Feynman graphs in curved spacetime using the heat kernel approach. To this end, we compute the off-diagonal components of the heat kernel in Riemann normal coordinates up to second order in the curvature. |
| format | Article |
| id | doaj-art-4b184f6523f34c6db3d992ebc6908fa6 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-4b184f6523f34c6db3d992ebc6908fa62025-01-05T12:06:47ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241211810.1007/JHEP12(2024)140The heat kernel in Riemann normal coordinates and multiloop Feynman graphs in curved spacetimeIgor Carneiro0Gero von Gersdorff1Department of Physics, Pontifícia Universidade Católica do Rio de JaneiroDepartment of Physics, Pontifícia Universidade Católica do Rio de JaneiroAbstract We present a formalism for computing arbitrary scalar multi-loop Feynman graphs in curved spacetime using the heat kernel approach. To this end, we compute the off-diagonal components of the heat kernel in Riemann normal coordinates up to second order in the curvature.https://doi.org/10.1007/JHEP12(2024)140Effective Field TheoriesRenormalization and Regularization |
| spellingShingle | Igor Carneiro Gero von Gersdorff The heat kernel in Riemann normal coordinates and multiloop Feynman graphs in curved spacetime Journal of High Energy Physics Effective Field Theories Renormalization and Regularization |
| title | The heat kernel in Riemann normal coordinates and multiloop Feynman graphs in curved spacetime |
| title_full | The heat kernel in Riemann normal coordinates and multiloop Feynman graphs in curved spacetime |
| title_fullStr | The heat kernel in Riemann normal coordinates and multiloop Feynman graphs in curved spacetime |
| title_full_unstemmed | The heat kernel in Riemann normal coordinates and multiloop Feynman graphs in curved spacetime |
| title_short | The heat kernel in Riemann normal coordinates and multiloop Feynman graphs in curved spacetime |
| title_sort | heat kernel in riemann normal coordinates and multiloop feynman graphs in curved spacetime |
| topic | Effective Field Theories Renormalization and Regularization |
| url | https://doi.org/10.1007/JHEP12(2024)140 |
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