Abstract
It is proved that a Wightman function (vacuum expectation value of a product of field operators) will be analytic and one valued at a real set of space-time points if and only if the fields possess a property of weak local commutativity at the same points. This statement assumes the validity of invariance. A similar but more complicated statement is proved for theories without invariance.
- Received 19 December 1957
DOI:https://doi.org/10.1103/PhysRev.110.579
©1958 American Physical Society