Tadpole diagrams in constant electromagnetic fields
Abstract We show how all possible one-particle reducible tadpole diagrams in constant electromagnetic fields can be constructed from one-particle irreducible constant-field diagrams. The construction procedure is essentially algebraic and involves differentiations of the latter class of diagrams wit...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-10-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP10(2017)075 |
| _version_ | 1819059731251068928 |
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| author | Felix Karbstein |
| author_facet | Felix Karbstein |
| author_sort | Felix Karbstein |
| collection | DOAJ |
| description | Abstract We show how all possible one-particle reducible tadpole diagrams in constant electromagnetic fields can be constructed from one-particle irreducible constant-field diagrams. The construction procedure is essentially algebraic and involves differentiations of the latter class of diagrams with respect to the field strength tensor and contractions with derivatives of the one-particle irreducible part of the Heisenberg-Euler effective Lagrangian in constant fields. Specific examples include the two-loop addendum to the Heisenberg-Euler effective action as well as a novel one-loop correction to the charged particle propagator in constant electromagnetic fields discovered recently. As an additional example, the approach devised in the present article is adopted to derive the tadpole contribution to the two-loop photon polarization tensor in constant fields for the first time. |
| first_indexed | 2024-12-21T14:15:45Z |
| format | Article |
| id | doaj.art-72bed6b21afb41ad9f9ad539f847f2a8 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-21T14:15:45Z |
| publishDate | 2017-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-72bed6b21afb41ad9f9ad539f847f2a82022-12-21T19:00:55ZengSpringerOpenJournal of High Energy Physics1029-84792017-10-0120171011410.1007/JHEP10(2017)075Tadpole diagrams in constant electromagnetic fieldsFelix Karbstein0Helmholtz-Institut JenaAbstract We show how all possible one-particle reducible tadpole diagrams in constant electromagnetic fields can be constructed from one-particle irreducible constant-field diagrams. The construction procedure is essentially algebraic and involves differentiations of the latter class of diagrams with respect to the field strength tensor and contractions with derivatives of the one-particle irreducible part of the Heisenberg-Euler effective Lagrangian in constant fields. Specific examples include the two-loop addendum to the Heisenberg-Euler effective action as well as a novel one-loop correction to the charged particle propagator in constant electromagnetic fields discovered recently. As an additional example, the approach devised in the present article is adopted to derive the tadpole contribution to the two-loop photon polarization tensor in constant fields for the first time.http://link.springer.com/article/10.1007/JHEP10(2017)075Effective Field TheoriesNonperturbative Effects |
| spellingShingle | Felix Karbstein Tadpole diagrams in constant electromagnetic fields Journal of High Energy Physics Effective Field Theories Nonperturbative Effects |
| title | Tadpole diagrams in constant electromagnetic fields |
| title_full | Tadpole diagrams in constant electromagnetic fields |
| title_fullStr | Tadpole diagrams in constant electromagnetic fields |
| title_full_unstemmed | Tadpole diagrams in constant electromagnetic fields |
| title_short | Tadpole diagrams in constant electromagnetic fields |
| title_sort | tadpole diagrams in constant electromagnetic fields |
| topic | Effective Field Theories Nonperturbative Effects |
| url | http://link.springer.com/article/10.1007/JHEP10(2017)075 |
| work_keys_str_mv | AT felixkarbstein tadpolediagramsinconstantelectromagneticfields |