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QUANTUM FIELD THEORY APPLICATIONS OF HEUN TYPE FUNCTIONS

dc.contributor.authorBirkandan, T.
dc.contributor.authorHortacsu, M.
dc.date.accessioned2025-01-09T20:12:04Z
dc.date.available2025-01-09T20:12:04Z
dc.date.issued2017
dc.identifier.issn0034-4877
dc.identifier.issn1879-0674
dc.identifier.urihttps://doi.org/10.1016/S0034-4877(17)30022-8
dc.identifier.urihttps://hdl.handle.net/20.500.14124/8326
dc.description.abstractAfter a brief introduction to Heun type functions we note that the actual solutions of the eigenvalue equation emerging in the calculation of the one-loop contribution to QCD from the Belavin-Polyakov-Schwarz-Tyupkin instanton and the similar calculation for a Dirac particle coupled to a scalar CP1 model in two dimensions can be given in terms of confluent Heun equations in their original forms. These equations were previously modified to be solved by more elementary functions. We also show that polynomial solutions with discrete eigenvalues are impossible to find in the unmodified equations.en_US
dc.description.sponsorshipScience Academy, Turkey; TUBITAK; Scientific and Technological Council of Turkeyen_US
dc.description.sponsorshipM. H. thanks Dr. Nadir Ghazanfari for technical assistance. He also thanks Science Academy, Turkey, for support. This research is also supported by TUBITAK, the Scientific and Technological Council of Turkey.en_US
dc.language.isoengen_US
dc.publisherPergamon-Elsevier Science Ltden_US
dc.relation.ispartofReports on Mathematical Physicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectHeun functionsen_US
dc.subjectquantum field theoryen_US
dc.subjectDirac equationen_US
dc.titleQUANTUM FIELD THEORY APPLICATIONS OF HEUN TYPE FUNCTIONSen_US
dc.typearticleen_US
dc.authoridBirkandan, Tolga/0000-0003-4434-2259
dc.departmentMimar Sinan Güzel Sanatlar Üniversitesien_US
dc.identifier.doi10.1016/S0034-4877(17)30022-8
dc.identifier.volume79en_US
dc.identifier.issue1en_US
dc.identifier.startpage81en_US
dc.identifier.endpage87en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.wosqualityQ3
dc.identifier.wosWOS:000395211500006
dc.identifier.scopus2-s2.0-85014755157
dc.identifier.scopusqualityQ3
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.snmzKA_20250105


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