Heat Kernels and Resummations: the Spinor Case
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arXiv
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| Auteurs principaux: | , , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915598898823168 |
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| author | Franchino-Viñas, S. A. García-Pérez, C. Mazzitelli, F. D. Pla, S. Vitagliano, V. |
| author_facet | Franchino-Viñas, S. A. García-Pérez, C. Mazzitelli, F. D. Pla, S. Vitagliano, V. |
| contents | Among the available perturbative approaches in quantum field theory, heat kernel techniques provide a powerful and geometrically transparent framework for computing effective actions in nontrivial backgrounds. In this work, resummation patterns within the heat kernel expansion are examined as a means of systematically extracting nonperturbative information. Building upon previous results for Yukawa interactions and scalar quantum electrodynamics, we extend the analysis to spinor fields, demonstrating that a recently conjectured resummation structure continues to hold. The resulting formulation yields a compact expression that resums invariants constructed from the electromagnetic tensor and its spinorial couplings, while preserving agreement with known proper-time coefficients. Beyond its immediate computational utility, the framework offers a unified perspective on the emergence of nonperturbative effects (such as Schwinger pair creation) in relation to perturbative heat kernel data, and provides a basis for future extensions to curved spacetimes and non-Abelian gauge theories. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_03315 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Heat Kernels and Resummations: the Spinor Case Franchino-Viñas, S. A. García-Pérez, C. Mazzitelli, F. D. Pla, S. Vitagliano, V. High Energy Physics - Theory Mathematical Physics Among the available perturbative approaches in quantum field theory, heat kernel techniques provide a powerful and geometrically transparent framework for computing effective actions in nontrivial backgrounds. In this work, resummation patterns within the heat kernel expansion are examined as a means of systematically extracting nonperturbative information. Building upon previous results for Yukawa interactions and scalar quantum electrodynamics, we extend the analysis to spinor fields, demonstrating that a recently conjectured resummation structure continues to hold. The resulting formulation yields a compact expression that resums invariants constructed from the electromagnetic tensor and its spinorial couplings, while preserving agreement with known proper-time coefficients. Beyond its immediate computational utility, the framework offers a unified perspective on the emergence of nonperturbative effects (such as Schwinger pair creation) in relation to perturbative heat kernel data, and provides a basis for future extensions to curved spacetimes and non-Abelian gauge theories. |
| title | Heat Kernels and Resummations: the Spinor Case |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2511.03315 |