Quantum field theory applications of heun type functions

Quantum field theory applications of heun type functions

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...

Full description

Saved in:
Bibliographic Details
Published in:Reports on mathematical physics Vol. 79; no. 1; pp. 81 - 87
Main Authors: Birkandan, T., Hortaçsu, M.
Format: Journal Article
Language:English
Published: Elsevier Ltd 01-02-2017
Subjects:
Dirac equation
Heun functions
quantum field theory
quantum field theory
Heun functions
Dirac equation
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0034-4877
1879-0674
DOI:10.1016/S0034-4877(17)30022-8