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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2510.23351 |
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| _version_ | 1866917361353752576 |
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| author | Barvinsky, A. O. Kalugin, A. E. Wachowski, W. |
| author_facet | Barvinsky, A. O. Kalugin, A. E. Wachowski, W. |
| contents | We consider expansions for the kernels of operator functions of second-order minimal operators on a curved background. We show that the terms of these expansions originate in the ultraviolet or infrared regions. We propose a systematic approach to obtaining ultraviolet terms using term-by-term integration of the DeWitt expansion of the heat kernel. We discuss two methods for regularizing infrared divergences arising at intermediate computational steps -- using analytic continuation and introducing a mass term -- and the relationship between them. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2510_23351 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Pseudodifferential calculus in Schwinger--DeWitt formalism: UV and IR parts Barvinsky, A. O. Kalugin, A. E. Wachowski, W. High Energy Physics - Theory We consider expansions for the kernels of operator functions of second-order minimal operators on a curved background. We show that the terms of these expansions originate in the ultraviolet or infrared regions. We propose a systematic approach to obtaining ultraviolet terms using term-by-term integration of the DeWitt expansion of the heat kernel. We discuss two methods for regularizing infrared divergences arising at intermediate computational steps -- using analytic continuation and introducing a mass term -- and the relationship between them. |
| title | Pseudodifferential calculus in Schwinger--DeWitt formalism: UV and IR parts |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2510.23351 |