论文标题
公理场理论和希达 - 科洛布尔代数
Axiomatic field theory and Hida-Colombeau algebras
论文作者
论文摘要
适用于自我相互作用玻色子场的公理量子场理论是用广义运算符来实现的，这使我们能够以简单且数学上严格的方式形成产品并采用田野的衍生物。探索了各种空间，以用HIDA-Colombeau代数来代表这些操作员。严格的辩护良好的汉密尔顿人使用普通的相互作用标量场的产品编写，这些产品在简化的HIDA-Colombeau代数上表示为通用操作员。
An axiomatic quantum field theory applied to the self-interacting boson field is realised in terms of generalised operators that allows us to form products and take derivatives of the fields in simple and mathematically rigorous ways. Various spaces are explored for representation of these operators with this exploration culminating with a Hida-Colombeau algebra. Rigorous well defned Hamiltonians are written using ordinary products of interacting scalar fields that are represented as generalised operators on simplified Hida-Colombeau algebras.
