On Wick Power Series Convergent to Nonlocal Fields

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dc.creatorSmirnov, A. G.
dc.creatorSoloviev, M. A.
dc.date2001-04-04
dc.date.accessioned2026-07-07T04:28:23Z
dc.date.available2026-07-07T04:28:23Z
dc.descriptionThe 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.
dc.description20 pages LaTeX2e, accepted for publication in Theor. Math. Phys
dc.identifierhttps://arxiv.org/abs/math-ph/0104007
dc.identifierhttp://arxiv.org/abs/math-ph/0104007
dc.identifierTheor.Math.Phys. 127 (2001) 632-645; Teor.Mat.Fiz. 127 (2001) 268-283
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56768
dc.subjectMathematical Physics
dc.titleOn Wick Power Series Convergent to Nonlocal Fields
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