Supermanifolds of Classical Solutions for Lagrangian Field Models with Ghost and Fermion Fields
نویسنده
چکیده
Using a supergeometric interpretation of field functionals, we show that for a class of rather common classical field models used for realistic quantum field theoretic models, an infinitedimensional supermanifold (smf) of classical solutions in Minkowski space can be constructed. That is, we show that 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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