Some Consequences of the Postulates
In discussing the analyticity of Wightman functions w n (zi, ⋯ z n ) two important facts were mentioned in section 2. First, if z1, ⋯ z n is in the analyticity domain and Λ any complex matrix satisfying (II.2.11) then z′1, ⋯ z′ n with z′ k = Λz k is in the analyticity domain and w n (z′1, ⋯ z′ n ) may be found by applying (an extension of) the transformation law (II.1.9). Secondly in the complex Lorentz group the space-time reflection xμ → − xμ can be connected by a continuous path to the identity.
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