On structure of the algebra of field operators

Borchers, H.-J.

doi:10.1007/BF02745645

On structure of the algebra of field operators

H.-J. Borchers
(
- Princeton, Inst. Advanced Study
)

1962

23 pages

Published in:

Nuovo Cim. 24 (1962) 2, 214-236

DOI:

10.1007/BF02745645

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Abstract: (submitter)

Fields describable by Wightman-functions are investigated. It will be shown that for irreducible fields the lowest energy state is not degenerated. A necessary and sufficient condition for the irreducibility of the field, in terms of Wightman-functions, will be derived. For reducible fields it will be shown that the algebra of all operators commuting with the field is an abelian algebra and that its elements commute also with the representation of the inhomogeneous Lorentz-group.

References(29)

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