The Cauchy Problem for Classical Field Equations with Ghost and Fermion Fields
نویسنده
چکیده
Using a supergeometric interpretation of field functionals, we show that for quite a large class of systems of nonlinear field equations with anticommuting fields, infinite-dimensional supermanifolds (smf) of classical solutions can be constructed. Such systems arise in classical field models used for realistic quantum field theoretic models. In particular, we show that under suitable conditions, the smf of smooth Cauchy data with compact support is isomorphic with an smf of corresponding classical solutions of the model.
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