Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-08-31
Commun.Math.Phys. 219 (2001) 567-605
Physics
High Energy Physics
High Energy Physics - Theory
40 pages (latex)
Scientific paper
10.1007/s002200100429
Using properties of the determinant line bundle for a family of elliptic boundary value problems, we explain how the Fock space functor defines an axiomatic quantum field theory which formally models the Fermionic path integral. The 'sewing axiom' of the theory arises as an algebraic pasting law for the determinant of the Dirac operator. We show how representations of the boundary gauge group fit into this description and that this leads to a Fock functor description of certain gauge anomalies.
Mickelsson Jouko
Scott Simon
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