关于收敛于非局部域的Wick幂级数
On Wick Power Series Convergent to Nonlocal Fields
摘要：
研究了广义自由场的Wick幂无穷级数，证明了它在解析检验函数的涂抹下收敛，并实现了Borchers等价类的非局部扩张.证明了它们收敛到的非局部域是渐近可换的，这是Wick多项式相对局部性的自然推广。建议的证明是基于利用真空期望值在x-空间中的分析性质，并应用柯西-庞加莱定理。
英文摘要：
The infinite series in Wick powers of a generalized free field are considered that are convergent under smearing with analytic test functions and realize a nonlocal extension of the Borchers equivalence classes. The nonlocal fields to which they converge are proved to be asymptotically commuting, which serves as a natural generalization of the relative locality of the Wick polynomials. The proposed proof is based on exploiting the analytic properties of the vacuum expectation values in x-space and applying the Cauchy--Poincare theorem.
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