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Test Function Space for Wick Power Series

A. G. Smirnov·M. A. Soloviev
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Abstract

We derive a criterion that is convenient for applications and exactly characterizes the test function space on which the operator realization of a given series of Wick powers of a free field is possible. The suggested derivation does not use the assumption that the metric of the state space is positive and can therefore be used in a gauge theory. It is based on the systematic use of the analytic properties of the Hilbert majorant of the indefinite metric and on the application of a suitable theorem on the unconditional convergence of series of boundary values of analytic functions.

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A. G. Smirnov, M. A. Soloviev. 2000-11-09. Test Function Space for Wick Power Series. https://doi.org/10.1007/bf02551027

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