On Wick Power Series Convergent to Nonlocal Fields
Mathematical Physics
2007-05-23 v1 math.MP
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.
Cite
@article{arxiv.math-ph/0104007,
title = {On Wick Power Series Convergent to Nonlocal Fields},
author = {A. G. Smirnov and M. A. Soloviev},
journal= {arXiv preprint arXiv:math-ph/0104007},
year = {2007}
}
Comments
20 pages LaTeX2e, accepted for publication in Theor. Math. Phys