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On Wick Power Series Convergent to Nonlocal Fields

A. G. Smirnov·M. A. Soloviev
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Abstract

The infinite series in Wick powers of a generalized free field are considered that are convergent under smearing with analytic test functions and realize a nonlocal extension of the Borchers equivalence classes. The nonlocal fields to which they converge are proved to be asymptotically commuting, which serves as a natural generalization of the relative locality of the Wick polynomials. The proposed proof is based on exploiting the analytic properties of the vacuum expectation values in x-space and applying the Cauchy--Poincare theorem.

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A. G. Smirnov, M. A. Soloviev. 2001-04-04. On Wick Power Series Convergent to Nonlocal Fields. https://arxiv.org/abs/math-ph/0104007

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