The hypergeneralized Heun equation in QFT in curved space-times
Davide Batic, Manuel Sandoval
TL;DR
This paper demonstrates the application of the hypergeneralized Heun equation to Quantum Field Theory in curved space-times, specifically relating it to the Dirac equation in Kerr-Newman-deSitter space.
Contribution
It introduces the first connection between the hypergeneralized Heun equation and quantum field equations in curved backgrounds.
Findings
Radial and angular parts of the Dirac equation relate to HHE.
Provides new mathematical tools for QFT in curved space.
Establishes transformations linking Dirac equations to HHE.
Abstract
In this article we show for the first time the role played by the hypergeneralized Heun equation (HHE) in the context of Quantum Field Theory in curved space-times. More precisely, we find suitable transformations relating the separated radial and angular parts of a massive Dirac equation in the Kerr-Newman-deSitter metric to a HHE.
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