Quantum field theory applications of heun type functions

T. Birkandan, M. Hortaçsu

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)


After 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.

Original languageEnglish
Pages (from-to)81-87
Number of pages7
JournalReports on Mathematical Physics
Issue number1
Publication statusPublished - 1 Feb 2017

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© 2017 Polish Scientific Publishers


  • Dirac equation
  • Heun functions
  • quantum field theory


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