The Time Slice Axiom in Perturbative Quantum Field Theory on Globally Hyperbolic Spacetimes
The Time Slice Axiom in Perturbative Quantum Field Theory on Globally Hyperbolic Spacetimes
复制标题
全局双曲时空微扰量子场论中的时间片公理
DOI：
10.1007/s00220-008-0670-7
复制
发表时间：
2008
影响因子：
2.4
通讯作者：
K. Fredenhagen
中科院分区：
文献类型：
--
作者：
B. Chilian;K. Fredenhagen
时间片公理表明，可以在任意小的时间间隔内测量的可观测值足以预测所有其他可观测值。虽然众所周知的自由场理论中，时间片公理的有效性是场方程的直接结果，但不知道它是否也适用于一般的相互作用理论，唯一的例外是某些超重整的二维模型。本文证明了在形式重整化微扰理论中，时间片公理至少对标量场理论成立。
The time slice axiom states that the observables which can be measured within an arbitrarily small time interval suffice to predict all other observables. While well known for free field theories where the validity of the time slice axiom is an immediate consequence of the field equation it was not known whether it also holds in generic interacting theories, the only exception being certain superrenormalizable models in 2 dimensions. In this paper we prove that the time slice axiom holds at least for scalar field theories within formal renormalized perturbation theory.
DOI：
10.4171/037
发表时间：
2007-03
期刊：
--
影响因子：
--
作者：
Christian Baer;N. Ginoux;Frank Pfaeffle
通讯作者：
Christian Baer;N. Ginoux;Frank Pfaeffle