A Guide to Functional Methods Beyond One-Loop Order
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arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866912542624841728 |
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| author | Fuentes-Martín, Javier Moreno-Sánchez, Adrián Palavrić, Ajdin Thomsen, Anders Eller |
| author_facet | Fuentes-Martín, Javier Moreno-Sánchez, Adrián Palavrić, Ajdin Thomsen, Anders Eller |
| contents | Functional methods can be applied to the quantum effective action to efficiently determine counterterms and matching conditions for effective field theories. We extend the toolbox to two-loop order and beyond and show how to evaluate the expansion of the path integral in a manifestly gauge-covariant manner. We also generalize the method to theories with mixed spin statistics and prove the validity of the hard-region matching formula to all loop orders. The methods are exemplified with a two-loop matching calculation of the Euler-Heisenberg Lagrangian resulting from decoupling the electron in QED. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_12270 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A Guide to Functional Methods Beyond One-Loop Order Fuentes-Martín, Javier Moreno-Sánchez, Adrián Palavrić, Ajdin Thomsen, Anders Eller High Energy Physics - Phenomenology High Energy Physics - Theory Functional methods can be applied to the quantum effective action to efficiently determine counterterms and matching conditions for effective field theories. We extend the toolbox to two-loop order and beyond and show how to evaluate the expansion of the path integral in a manifestly gauge-covariant manner. We also generalize the method to theories with mixed spin statistics and prove the validity of the hard-region matching formula to all loop orders. The methods are exemplified with a two-loop matching calculation of the Euler-Heisenberg Lagrangian resulting from decoupling the electron in QED. |
| title | A Guide to Functional Methods Beyond One-Loop Order |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2412.12270 |