4 papers
Supermanifolds of classical solutions for Lagrangian field models with ghost and fermion fields
Thomas Schmitt
Using a supergeometric interpretation of field functionals, we show that for a class of classical field models used for realistic quantum field theoretic models, an infinite-dimens…
The Cauchy Problem for Abstract Evolution Equations with Ghost and Fermion Degrees of Freedom
Thomas Schmitt
We consider a class of abstract nonlinear evolution equations in supermanifolds (smf's) modelled over Z_2-graded locally convex spaces. We show uniqueness, local existence, smoothn…
The Cauchy Problem for Classical Field Equations with Ghost and Fermion Fields
Thomas Schmitt
Using a supergeometric interpretation of field functionals developed in previous papers, we show that for quite a large class of systems of nonlinear field equations with anticommu…
Supergeometry and Quantum Field Theory, or: What is a Classical Configuration?
Thomas Schmitt
We discuss of the conceptual difficulties connected with the anticommutativity of classical fermion fields, and we argue that the "space" of all classical configurations of a model…