相互作用量子场论的源碎裂方法
A source fragmentation approach to interacting quantum field theory
摘要：
证明了Reeh-Schlieder定理的一个推论：正则化Lagrangian量子理论的时间序真空期望值和S-矩阵可以用一个局部算子来近似，该局部算子使用局部支撑源函数的非线性泛函.对于怀特曼公理，这意味着一种修正，即测量算子的代数不是由算子值分布生成的。使用算子值的非线性泛函的源函数引入了许多抽象的源片段，给出了一个定义良好的自上而下的相互作用量子场的结构，而不是自下而上的阻塞和缩放结构或分析响应变化的重整化尺度。该构造也可以被认为是解决相互作用动力学的局部逆问题或作为多点束缚态场的生成函数。
英文摘要：
A corollary to the Reeh-Schlieder theorem is proved: that the time-ordered Vacuum Expectation Values and the S-matrix of a regularized Lagrangian quantum theory can be approximated by a local operator that uses nonlinear functionals of a locally supported source function. For the Wightman axioms, this suggests a modification that takes the algebra of measurement operators not to be generated by an operator-valued distribution. The use of operator-valued nonlinear functionals of a source function introduces many abstract fragments of the source to give a well-defined top-down construction of interacting quantum fields, in contrast to a bottom-up blocking and scaling construction or to analyzing response to changing renormalization scales. The construction can also be thought of as solving a localized inverse problem for the interacting dynamics or as a generating function for multi-point bound state fields.
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