Geodesic
Wick Power Series Converging to Nonlocal Fields
Teoretičeskaâ i matematičeskaâ fizika, Tome 127 (2001) no. 2, pp. 268-283

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We consider the infinite series in Wick powers of a generalized free field that are convergent under smoothing with analytic test functions and realize a nonlocal extension of the Borchers equivalence classes. The nonlocal fields to which the Wick power series converge are proved to be asymptotically commuting. This property 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 the x space and applying the Cauchy–Poincaré theorem. 
@article{TMF_2001_127_2_a2,
     author = {A. G. Smirnov and M. A. Soloviev},
     title = {Wick {Power} {Series} {Converging} to {Nonlocal} {Fields}},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {268--283},
     publisher = {mathdoc},
     volume = {127},
     number = {2},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2001_127_2_a2/}
}
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A. G. Smirnov; M. A. Soloviev. Wick Power Series Converging to Nonlocal Fields. Teoretičeskaâ i matematičeskaâ fizika, Tome 127 (2001) no. 2, pp. 268-283. http://geodesic.mathdoc.fr/item/TMF_2001_127_2_a2/