Electric field-based quantization of the gauge invariant Proca theory

2023
journal article
article
cris.lastimport.wos2024-04-10T02:07:03Z
dc.abstract.enWe consider the gauge invariant version of the Proca theory, where besides the real vector field there is also the real scalar field. We quantize the theory such that the commutator of the scalar field operator and the electric field operator is given by a predefined three-dimensional vector field, say $\mathcal{E}$ up to a global prefactor. This happens when the field operators of the gauge invariant Proca theory satisfy the proper gauge constraint. In particular, we show that $\mathcal{E}$ given by the classical Coulomb field leads to the Coulomb gauge constraint making the vector field operator divergenceless. We also show that physically unreadable gauge constraints can have a strikingly simple $\mathcal{E}$-representation in our formalism. This leads to the discussion of Debye, Yukawa, etc. gauges. In general terms, we explore the mapping between classical vector fields and gauge constraints imposed on the operators of the studied theory.pl
dc.affiliationWydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki Teoretycznejpl
dc.contributor.authorDamski, Bogdan - 228410 pl
dc.date.accessioned2023-03-03T15:36:28Z
dc.date.available2023-03-03T15:36:28Z
dc.date.issued2023pl
dc.date.openaccess0
dc.description.accesstimew momencie opublikowania
dc.description.number4pl
dc.description.versionostateczna wersja wydawcy
dc.description.volume107pl
dc.identifier.articleid045016pl
dc.identifier.doi10.1103/PhysRevD.107.045016pl
dc.identifier.eissn2470-0029pl
dc.identifier.issn2470-0010pl
dc.identifier.project2019/35/B/ ST2/00034pl
dc.identifier.urihttps://ruj.uj.edu.pl/xmlui/handle/item/308610
dc.languageengpl
dc.language.containerengpl
dc.rightsUdzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa*
dc.rights.licenceCC-BY
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/legalcode.pl*
dc.share.typeinne
dc.subtypeArticlepl
dc.titleElectric field-based quantization of the gauge invariant Proca theorypl
dc.title.journalPhysical Review. Dpl
dc.typeJournalArticlepl
dspace.entity.typePublication
cris.lastimport.wos
2024-04-10T02:07:03Z
dc.abstract.enpl
We consider the gauge invariant version of the Proca theory, where besides the real vector field there is also the real scalar field. We quantize the theory such that the commutator of the scalar field operator and the electric field operator is given by a predefined three-dimensional vector field, say $\mathcal{E}$ up to a global prefactor. This happens when the field operators of the gauge invariant Proca theory satisfy the proper gauge constraint. In particular, we show that $\mathcal{E}$ given by the classical Coulomb field leads to the Coulomb gauge constraint making the vector field operator divergenceless. We also show that physically unreadable gauge constraints can have a strikingly simple $\mathcal{E}$-representation in our formalism. This leads to the discussion of Debye, Yukawa, etc. gauges. In general terms, we explore the mapping between classical vector fields and gauge constraints imposed on the operators of the studied theory.
dc.affiliationpl
Wydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki Teoretycznej
dc.contributor.authorpl
Damski, Bogdan - 228410
dc.date.accessioned
2023-03-03T15:36:28Z
dc.date.available
2023-03-03T15:36:28Z
dc.date.issuedpl
2023
dc.date.openaccess
0
dc.description.accesstime
w momencie opublikowania
dc.description.numberpl
4
dc.description.version
ostateczna wersja wydawcy
dc.description.volumepl
107
dc.identifier.articleidpl
045016
dc.identifier.doipl
10.1103/PhysRevD.107.045016
dc.identifier.eissnpl
2470-0029
dc.identifier.issnpl
2470-0010
dc.identifier.projectpl
2019/35/B/ ST2/00034
dc.identifier.uri
https://ruj.uj.edu.pl/xmlui/handle/item/308610
dc.languagepl
eng
dc.language.containerpl
eng
dc.rights*
Udzielam licencji. Uznanie autorstwa 4.0 Międzynarodowa
dc.rights.licence
CC-BY
dc.rights.uri*
http://creativecommons.org/licenses/by/4.0/legalcode.pl
dc.share.type
inne
dc.subtypepl
Article
dc.titlepl
Electric field-based quantization of the gauge invariant Proca theory
dc.title.journalpl
Physical Review. D
dc.typepl
JournalArticle
dspace.entity.type
Publication
Affiliations

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