Covariance of Time-Ordered Products Implies Local Commutativity of Fields

Abstract

We formulate Lorentz covariance of a quantum field theory in terms of covariance of time-ordered products (or other Green's functions). This formulation of Lorentz covariance implies spacelike local commutativity or anticommutativity of fields, sometimes called microscopic causality or microcausality. With this formulation microcausality does not have to be taken as a separate assumption.

arXiv comment6 pages, section on non-local theories removed, published version

Cited by in corpus (2)

• On the assertion that PCT violation implies Lorentz non-invariance
• Microcausality of spin-induced noncommutative theories