Point-particle effective field theory III: relativistic fermions and the Dirac equation
Abstract We formulate point-particle effective field theory (PPEFT) for relativistic spin-half fermions interacting with a massive, charged finite-sized source using a first-quantized effective field theory for the heavy compact object and a second-quantized language for the lighter fermion with whi...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-09-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP09(2017)007 |
| _version_ | 1819072490434985984 |
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| author | C. P. Burgess Peter Hayman Markus Rummel László Zalavári |
| author_facet | C. P. Burgess Peter Hayman Markus Rummel László Zalavári |
| author_sort | C. P. Burgess |
| collection | DOAJ |
| description | Abstract We formulate point-particle effective field theory (PPEFT) for relativistic spin-half fermions interacting with a massive, charged finite-sized source using a first-quantized effective field theory for the heavy compact object and a second-quantized language for the lighter fermion with which it interacts. This description shows how to determine the near-source boundary condition for the Dirac field in terms of the relevant physical properties of the source, and reduces to the standard choices in the limit of a point source. Using a first-quantized effective description is appropriate when the compact object is sufficiently heavy, and is simpler than (though equivalent to) the effective theory that treats the compact source in a second-quantized way. As an application we use the PPEFT to parameterize the leading energy shift for the bound energy levels due to finite-sized source effects in a model-independent way, allowing these effects to be fit in precision measurements. Besides capturing finite-source-size effects, the PPEFT treatment also efficiently captures how other short-distance source interactions can shift bound-state energy levels, such as due to vacuum polarization (through the Uehling potential) or strong interactions for Coulomb bound states of hadrons, or any hypothetical new short-range forces sourced by nuclei. |
| first_indexed | 2024-12-21T17:38:33Z |
| format | Article |
| id | doaj.art-8a7be046367647dfa66b4aff9ac5b0a5 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-21T17:38:33Z |
| publishDate | 2017-09-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-8a7be046367647dfa66b4aff9ac5b0a52022-12-21T18:55:42ZengSpringerOpenJournal of High Energy Physics1029-84792017-09-012017915310.1007/JHEP09(2017)007Point-particle effective field theory III: relativistic fermions and the Dirac equationC. P. Burgess0Peter Hayman1Markus Rummel2László Zalavári3Department of Physics & Astronomy, McMaster UniversityDepartment of Physics & Astronomy, McMaster UniversityDepartment of Physics & Astronomy, McMaster UniversityDepartment of Physics & Astronomy, McMaster UniversityAbstract We formulate point-particle effective field theory (PPEFT) for relativistic spin-half fermions interacting with a massive, charged finite-sized source using a first-quantized effective field theory for the heavy compact object and a second-quantized language for the lighter fermion with which it interacts. This description shows how to determine the near-source boundary condition for the Dirac field in terms of the relevant physical properties of the source, and reduces to the standard choices in the limit of a point source. Using a first-quantized effective description is appropriate when the compact object is sufficiently heavy, and is simpler than (though equivalent to) the effective theory that treats the compact source in a second-quantized way. As an application we use the PPEFT to parameterize the leading energy shift for the bound energy levels due to finite-sized source effects in a model-independent way, allowing these effects to be fit in precision measurements. Besides capturing finite-source-size effects, the PPEFT treatment also efficiently captures how other short-distance source interactions can shift bound-state energy levels, such as due to vacuum polarization (through the Uehling potential) or strong interactions for Coulomb bound states of hadrons, or any hypothetical new short-range forces sourced by nuclei.http://link.springer.com/article/10.1007/JHEP09(2017)007Effective Field TheoriesNonperturbative EffectsRenormalization Group |
| spellingShingle | C. P. Burgess Peter Hayman Markus Rummel László Zalavári Point-particle effective field theory III: relativistic fermions and the Dirac equation Journal of High Energy Physics Effective Field Theories Nonperturbative Effects Renormalization Group |
| title | Point-particle effective field theory III: relativistic fermions and the Dirac equation |
| title_full | Point-particle effective field theory III: relativistic fermions and the Dirac equation |
| title_fullStr | Point-particle effective field theory III: relativistic fermions and the Dirac equation |
| title_full_unstemmed | Point-particle effective field theory III: relativistic fermions and the Dirac equation |
| title_short | Point-particle effective field theory III: relativistic fermions and the Dirac equation |
| title_sort | point particle effective field theory iii relativistic fermions and the dirac equation |
| topic | Effective Field Theories Nonperturbative Effects Renormalization Group |
| url | http://link.springer.com/article/10.1007/JHEP09(2017)007 |
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