通过自由场叠加在任意时空维度构造非平凡相对论量子场
数学物理
2021-03-25 v2 math.MP
摘要
我们构造了Schwinger函数，作为对应于具有锐质量 的自由场的Schwinger函数的叠加。我们证明Osterwalder和Schrader的所有公理均被满足。该构造独立于时空维度 而成立。所考虑的Schwinger函数是 tempered distributions 空间 上非高斯测度的矩。
引用
@article{arxiv.2103.11473,
title = {Construction of non-trivial relativistic quantum fields in arbitrary space-time dimension via superposition of free fields},
author = {Martin Grothaus and Andreas Nonnenmacher},
journal= {arXiv preprint arXiv:2103.11473},
year = {2021}
}
备注
The proof of the cluster property (E4) for the superposition is wrong. Yoh Tanimoto and Wojciech Dybalski gave a counterexample s.t. the statement of cluster property can't hold in its full generality