论文标题
迈向非交通量子场理论的公理公式。 ii
Towards an Axiomatic Formulation of Noncommutative Quantum Field Theory. II
论文作者
论文摘要
公理量子场理论的经典结果，即在$（1,1）$不变的量子场理论中证明了一组现场运算符，REEH和Schlieder的定理和广义Haag定理的不可约性，其中重要的示例是非量化量子场理论。 $（1,3）$不变理论获得了广义HAAG定理的新后果。已经证明，在两个理论中，四点Wightman功能的平等导致弹性散射幅度的相等性，因此在这些理论中的总横截面。
Classical results of the axiomatic quantum field theory, namely the irreducibility of the set of field operators, Reeh and Schlieder's theorems and generalized Haag's theorem, are proven in $SO(1,1)$ invariant quantum field theory, of which an important example is noncommutative quantum field theory. New consequences of generalized Haag's theorem are obtained in $SO(1,3)$ invariant theories. It has been proven that the equality of four-point Wightman functions in two theories leads to the equality of elastic scattering amplitudes and thus the total cross-sections in these theories.
