Dirac operator and Chern-Simon action

H. Leutwyler
The effective action generated by fermions exposed to a nonabelian gauge field in three-dimensional euclidean space is examined in detail. It is shown that the symmetries of the Dirac operator allow one to specify its determinant in a unique manner in terms of the corresponding heat kernel.
doi:10.5169/seals-116235 fatcat:ewgzrldsgrhsrbeipaf566ijqy