论文标题
在玻色旋Wightman量子场理论上
On Bosonic Wightman Quantum Field Theories
论文作者
论文摘要
我们证明,Wightman量子场理论中的现场运算符通常具有自动化扩展。如果该理论是骨的,并且现场运营商也遵守规范的换向关系(CCR),则CCR的Weyl形式退出。这需要从相应的CCR代数中出现现场运算符,这是一个唯一的C $^\ ast $ -Algebra,并且由两点Wightman函数确定。
We prove that field operators in a Wightman quantum field theory generally have self-adjoint extensions. If the theory is bosonic and the field operators also obey canonical commutation relations (CCRs), then the Weyl form of the CCRs exits. This entails that the field operators emerge from the corresponding CCR algebra, which is a unique C$^\ast$-algebra and which is determined by the two-point Wightman function.