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Quantum Grav."],"published-print":{"date-parts":[[2021,10,7]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>In this work, we investigate the effects of the torsion\u2013fermionic interaction on the energy levels of fermions within a Riemann\u2013Cartan geometry using a model-independent approach. We consider the case of fermions minimally coupled to the background torsion as well as non-minimal extensions via additional couplings with the vector and axial fermionic currents which include parity-breaking interactions. In the limit of zero-curvature, and for the cases of constant and spherically symmetric torsion, we find a Zeeman-like effect on the energy levels of fermions and anti-fermions depending on whether they are aligned\/anti-aligned with respect to the axial vector part of the torsion (or to specific combination of torsion quantities), and determine the corresponding fine-structure energy transitions. We also discuss non-minimal couplings between fermionic fields and torsion within the Einstein\u2013Cartan theory and its extension to include the (parity-breaking) Holst term. Finally we elaborate on the detection of torsion effects related to the splitting of energy levels in astrophysics, cosmology and solid state physics using current capabilities.<\/jats:p>","DOI":"10.1088\/1361-6382\/ac1cca","type":"journal-article","created":{"date-parts":[[2021,8,11]],"date-time":"2021-08-11T18:27:38Z","timestamp":1628706458000},"page":"195008","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":9,"title":["Imprints from a Riemann\u2013Cartan space-time on the energy levels of Dirac spinors"],"prefix":"10.1088","volume":"38","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2124-5894","authenticated-orcid":false,"given":"Francisco","family":"Cabral","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9388-8373","authenticated-orcid":false,"given":"Francisco S N","family":"Lobo","sequence":"additional","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0003-3984-9864","authenticated-orcid":false,"given":"Diego","family":"Rubiera-Garcia","sequence":"additional","affiliation":[]}],"member":"266","published-online":{"date-parts":[[2021,8,27]]},"reference":[{"year":"2002","author":"Blagojevic","key":"cqgac1ccabib1","type":"book"},{"article-title":"Gauge theories of gravitation","year":"2018","author":"Blagojevic","key":"cqgac1ccabib2","type":"preprint"},{"key":"cqgac1ccabib3","doi-asserted-by":"publisher","first-page":"238","DOI":"10.3390\/universe6120238","type":"journal-article","article-title":"Fundamental symmetries and spacetime geometries in gauge theories of gravity-prospects for unified field theories","volume":"6","author":"Cabral","year":"2020","journal-title":"Universe"},{"key":"cqgac1ccabib4","first-page":"157","type":"journal-article","article-title":"Elie Cartan\u2019s torsion in geometry and in field theory, an essay","volume":"32","author":"Hehl","year":"2007","journal-title":"Ann. 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All rights, including for text and data mining, AI training, and similar technologies, are reserved.","name":"copyright_information","label":"Copyright Information"},{"value":"2021-06-23","name":"date_received","label":"Date Received","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2021-08-11","name":"date_accepted","label":"Date Accepted","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2021-08-27","name":"date_epub","label":"Online publication date","group":{"name":"publication_dates","label":"Publication dates"}}]}}