标题： 论重整化的数学意义 显示英文标题

标题： On the mathematical sense of renormalization

摘要： 我们将量子场论中的重整化过程置于泊松代数量化这一熟悉的数学背景下。 所涉及的泊松代数是前一篇文章（arXiv:1008.3333）中构建的经典场论哈密顿量代数。 其量子形变可能包含（非规范地）泛函微分算子代数。 我们解释说，这个图景自然地包含了重整化作为其组成部分。 显示英文摘要

摘要： We place the renormalization procedure in quantum field theory into the familiar mathematical context of quantization of Poisson algebras. The Poisson algebra in question is the algebra of classical field theory Hamiltonians constructed in a previous paper (arXiv:1008.3333). Its quantum deformations presumably contain (non-canonically) the algebra of functional differential operators. We explain that this picture contains renormalization as a natural ingredient.