Massive and massless gauge fields formed by flat connections

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dc.authorid0000-0002-0418-6637en_US
dc.contributor.authorŞener, İbrahim
dc.contributor.authorKaragöz, Nurettin
dc.contributor.authorÖzel, Cenap
dc.date.accessioned2021-06-23T19:44:45Z
dc.date.available2021-06-23T19:44:45Z
dc.date.issued2016
dc.departmentBAİBÜ, Fen Edebiyat Fakültesi, Fizik Bölümüen_US
dc.description.abstractThe Yang - Mills type massive and massless gauge theories are interpreted in the geometrical frame of holomorphic principal bundles on a complex 2 - manifold. It is seen in this formalism that, the component (1,1) of the curvature of this connection appears because of flat connections generated by holomorphic structure although connection is flat. Thus it is possible to write a Lagrangian for a Yang - Mills theory including massive and massless gauge fields. However, the mass matrix of a massive gauge field on such a bundle isn't nilpotent and this field is generated by a noncommutative flat connection on the same bundle, then the structure group of this bundle is non - Abelian complex Lie group. However, if the gauge field is massless, then this is generated by commutative flat connection, and so the structure group of the bundle is Abelian complex Lie group. Also one sees that the second Chern number or topological charge is proportional to the total volume of the base manifold for each massless and massive gauge theories and Abelian (massless) gauge theories are indeed the theories of the Kahler potential on the complex projective space .en_US
dc.identifier.doi10.1007/s10773-015-2630-2
dc.identifier.endpage40en_US
dc.identifier.issn0020-7748
dc.identifier.issn1572-9575
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-84927929681en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage17en_US
dc.identifier.urihttps://doi.org/10.1007/s10773-015-2630-2
dc.identifier.urihttps://hdl.handle.net/20.500.12491/9038
dc.identifier.volume55en_US
dc.identifier.wosWOS:000367459000003en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorŞener, İbrahim
dc.institutionauthorKaragöz, Nurettin
dc.language.isoenen_US
dc.publisherSpringer/Plenum Publishersen_US
dc.relation.ispartofInternational Journal Of Theoretical Physicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectMassive and Massless Gauge Fieldsen_US
dc.subjectHolomorphic Principal Bundleen_US
dc.subjectKahler Potentialen_US
dc.subjectFlat Connectionen_US
dc.subjectMass Matrixen_US
dc.subjectAbelian and Nonabelian Gauge Groupen_US
dc.subjectTopological Chargeen_US
dc.subjectChern Classesen_US
dc.titleMassive and massless gauge fields formed by flat connectionsen_US
dc.typeArticleen_US

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