Wick Power Series in Indefinite Metric Field Theories

Details Wick Power Series in Indefinite Metric Field Theories Wick Power Series in Indefinite Metric Field Theories

2001-01-03

arxiv.org/abs/math-ph/0101004v1

Physics

Mathematical Physics

9 pages, AmS-LaTeX, the talk given at the International Conference "Quantization, Gauge Theory, and Strings" dedicated to the

Scientific paper

The analytic aspects of the operator realization of Wick power series of infrared singular free fields are considered. Taking advantage of the holomorphy properties of the two-point correlation function and its Hilbert majorant in x-space, we solve in a general and model independent way the problem of finding the adequate test function space on which a given Wick series is convergent. Substantial attention is paid to the proper formulation of the spectral condition in case the suitable test functions are entire analytic in momentum space.

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