{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,18]],"date-time":"2025-10-18T15:12:25Z","timestamp":1760800345161,"version":"build-2065373602"},"reference-count":17,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2020,4,14]],"date-time":"2020-04-14T00:00:00Z","timestamp":1586822400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100004564","name":"Ministarstvo Prosvete, Nauke i Tehnolo\u0161kog Razvoja","doi-asserted-by":"publisher","award":["ON171031","451-03-02141\/2017-09\/02"],"award-info":[{"award-number":["ON171031","451-03-02141\/2017-09\/02"]}],"id":[{"id":"10.13039\/501100004564","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>The higher category theory can be employed to generalize the     B F     action to the so-called     3 B F     action, by passing from the notion of a gauge group to the notion of a gauge 3-group. The theory of scalar electrodynamics coupled to Einstein\u2013Cartan gravity can be formulated as a constrained     3 B F     theory for a specific choice of the gauge 3-group. The complete Hamiltonian analysis of the     3 B F     action for the choice of a Lie 3-group corresponding to scalar electrodynamics is performed. This analysis is the first step towards a canonical quantization of a     3 B F     theory, an important stepping stone for the quantization of the complete scalar electrodynamics coupled to Einstein\u2013Cartan gravity formulated as a     3 B F     action with suitable simplicity constraints. It is shown that the resulting dynamic constraints eliminate all propagating degrees of freedom, i.e., the     3 B F     theory for this choice of a 3-group is a topological field theory, as expected.<\/jats:p>","DOI":"10.3390\/sym12040620","type":"journal-article","created":{"date-parts":[[2020,4,15]],"date-time":"2020-04-15T04:01:46Z","timestamp":1586923306000},"page":"620","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Hamiltonian Analysis for the Scalar Electrodynamics as 3BF Theory"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2310-5281","authenticated-orcid":false,"given":"Tijana","family":"Radenkovi\u0107","sequence":"first","affiliation":[{"name":"Institute of Physics, University of Belgrade, Pregrevica 118, 11080 Belgrade, Serbia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6977-4870","authenticated-orcid":false,"given":"Marko","family":"Vojinovi\u0107","sequence":"additional","affiliation":[{"name":"Institute of Physics, University of Belgrade, Pregrevica 118, 11080 Belgrade, Serbia"}]}],"member":"1968","published-online":{"date-parts":[[2020,4,14]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Rovelli, C. 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Gravitation and Gauge Symmetries, Institute of Physics Publishing.","DOI":"10.1887\/0750307676"},{"key":"ref_14","unstructured":"Mikovi\u0107, A., Oliveira, M.A., and Vojinovi\u0107, M. (2016). Hamiltonian analysis of the BFCG theory for a generic Lie 2-group. arXiv."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"065007","DOI":"10.1088\/0264-9381\/33\/6\/065007","article-title":"Hamiltonian analysis of the BFCG theory for the Poincar\u00e9 2-group","volume":"33","author":"Oliveira","year":"2016","journal-title":"Class. Quantum Gravity"},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"58","DOI":"10.1007\/s10714-015-1900-x","article-title":"Canonical formulation of Poincare BFCG theory and its quantization","volume":"47","author":"Oliveira","year":"2015","journal-title":"Gen. Relat. Gravity"},{"key":"ref_17","unstructured":"Oliveira, M.A. (2018). The BFCG Theory and Canonical Quantization of Gravity. arXiv."}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/12\/4\/620\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,13]],"date-time":"2025-10-13T13:21:08Z","timestamp":1760361668000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/12\/4\/620"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,4,14]]},"references-count":17,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2020,4]]}},"alternative-id":["sym12040620"],"URL":"https:\/\/doi.org\/10.3390\/sym12040620","relation":{},"ISSN":["2073-8994"],"issn-type":[{"type":"electronic","value":"2073-8994"}],"subject":[],"published":{"date-parts":[[2020,4,14]]}}}