标题： 具有幽灵和费米子场的经典解的拉格朗日场模型的超流形 显示英文标题

标题： Supermanifolds of classical solutions for Lagrangian field models with ghost and fermion fields

摘要： 利用场泛函的超几何解释，我们证明了一类用于现实量子场论模型的经典场模型，可以在闵可夫斯基空间中构造出无限维超流形（smf）的经典解。也就是说，我们证明了具有紧支集的光滑柯西数据的超流形同构于相应经典解的超流形。 显示英文摘要

摘要： 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-dimensional 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.