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Transactions of the American Mathematical Society

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Local norm convergence of states on the zero time Bose fields


Author: Ola Bratteli
Journal: Trans. Amer. Math. Soc. 188 (1974), 269-280
MSC: Primary 81.46
MathSciNet review: 0342081
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Abstract: For a sequence of vector states on the Boson Fock space which are norm convergent on the Newton-Wigner local algebras, conditions are given which guarantee norm convergence on the relativistic local algebras also. These conditions are verified for the cutoff physical vacuum states of the $ P{(\phi )_2}$ field theory, and yield a simplification of the proof of the locally normal property of the physical vacuum in that theory.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1974-0342081-9
Keywords: Boson Fock space, $ P{(\phi )_2}$ theory, local algebras, locally normal states, annihilation and creation operators
Article copyright: © Copyright 1974 American Mathematical Society