English

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

High Energy Physics - Theory 2009-10-22 v1

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/9209038,
  title  = {Functional determinant and Green functions for a fermionic gauge theory on the disk},
  author = {Enrique F. Moreno},
  journal= {arXiv preprint arXiv:hep-th/9209038},
  year   = {2009}
}

Comments

27 pages

R2 v1 2026-07-22T15:43:41.171Z