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Covariance of Time-Ordered Products Implies Local Commutativity of Fields

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arxiv hep-th/0405211 v2 pith:L4A6GFAQ submitted 2004-05-24 hep-th

Covariance of Time-Ordered Products Implies Local Commutativity of Fields

classification hep-th
keywords covariancecommutativityfieldsformulationimplieslocallorentzmicrocausality
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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.

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