The Cauchy Problem for Classical Field Equations with Ghost and Fermion Fields

Details The Cauchy Problem for Classical Field Equations with Ghost and Fermion Fields The Cauchy Problem for Classical Field Equations with Ghost and Fermion Fields

1996-07-16

arxiv.org/abs/hep-th/9607133v2

Physics

High Energy Physics

High Energy Physics - Theory

37 pages, LateX2E+AMSLaTeX

Scientific paper

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 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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