Functional determinant and Green functions for a fermionic gauge theory on the disk

Details Functional determinant and Green functions for a fermionic gauge theory on the disk Functional determinant and Green functions for a fermionic gauge theory on the disk

1992-09-10

arxiv.org/abs/hep-th/9209038v1

Phys.Rev. D48 (1993) 921-931

Physics

High Energy Physics

High Energy Physics - Theory

27 pages

Scientific paper

10.1103/PhysRevD.48.921

We study a theory of Dirac fermions on a disk in presence of an electromagnetic field. Using the heat-kernel technique we compute the functional determinant which results after decoupling the zero-flux gauge degrees of freedom from the fermions. We also compute the Green functions of the remaining fermionic theory with the appropriate boundary conditions. Finally we analyze the coset model associated to this gauge theory and compute all its correlations functions.

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