标题： 关于收敛到非局部场的威克幂级数 显示英文标题

标题： On Wick Power Series Convergent to Nonlocal Fields

摘要： 考虑了广义自由场的Wick幂中的无限级数，这些级数在与解析测试函数卷积下是收敛的，并实现了Borchers等价类的非局部扩展。 它们收敛的非局部场被证明是渐近交换的，这作为Wick多项式的相对局部性的自然推广。 所提出的证明基于利用x空间中真空期望值的解析性质，并应用柯西-庞加莱定理。 显示英文摘要

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.