Wick Polynomials at a Fixed Time

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Abstract
In general, a Wick polynomial must be smeared with a test function depending on both time and space in order to yield an operator in Hilbert space. However, in space time of two dimensions, it is sufficient to smear in the space direction alone. This statement is proved by an application of Weinberg's asymptotic theorem. Operators formed in this manner are candidates for approximate interaction Hamiltonians.

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