Abstract

It is shown that in the absence of interactions one can construct nonvanishing vacuum expectation values for the field operators which describe massless particles of an arbitrary spin. Since this necessarily implies a formal breakdown of Lorentz invariance, it might well be anticipated that the vacuum expectation value of the commutators of the canonical fields with the generators of pure Lorentz transformations could place nontrivial constraints upon the theory. However a proof is given of the fact that such commutators fail to impose any condition upon the theory and that the broken symmetry is consequently entirely self-consistent.

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