Extremal Decomposition of Wightman Functions and of States on Nuclear * Algebras by Choquet Theory

Hegerfeldt, Gerhard C.

doi:10.1007/BF01629243

Extremal Decomposition of Wightman Functions and of States on Nuclear * Algebras by Choquet Theory

Gerhard C. Hegerfeldt
(
- Gottingen U.
)

May, 1975

7 pages

Published in:

Commun.Math.Phys. 45 (1975) 133

DOI:

10.1007/BF01629243

Report number:

Print-75-0625 (GOTTINGEN)

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Abstract: (Springer)

We give a short proof for the decomposability of states on nuclear *-algebras into extremal states by using the integral decompositions of Choquet and the nuclear spectral theorem, recovering a recent result by Borchers and Yngvason. The decomposition of Wightman fields into irreducible fields is a special case of this. We also indicate a quick solution of the moment problem on nuclear spaces.

AXIOMATIC FIELD THEORY
ALGEBRA
NUCLEAR PHYSICS

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