导致具有不定度规和非平凡S-矩阵的局域相对论量子矢量场的SPDE
SPDEs leading to local, relativistic quantum vector fields with indefinite metric and nontrivial S-matrix
摘要：
在这篇文章中，我们回顾了建设的地方，相对论量子矢量场的解析延续的欧几里德向量场作为协变SPDE的解决方案。我们通过引入新的高斯噪声项来修改这样的SPDE的制定-一个避免重新定义在以前的方法中所需的两个点函数的过程，以获得具有非平凡散射的相对论性场。我们描述了这些新的SPDE的解析连续的解决方案的渐近状态和散射的建设，我们给出了精确的条件，非平凡的和定义良好的散射。
英文摘要：
In this article we review the construction of local, relativistic quantum vector fields by analytic continuation of Euclidean vector fields obtained as solutions of covariant SPDEs. We revise the formulation of such SPDEs by introducing new Gaussian noise terms -- a procedure which avoids the re-definition of the two point functions needed in previous approaches in order to obtain relativistic fields with nontrivial scattering. We describe the construction of asymptotic states and the scattering of the analytically continued solutions of these new SPDEs and we give precise conditions for nontrivial and well-defined scattering.
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