Wick's Theorem for non-symmetric normal ordered products and contractions

Details Wick's Theorem for non-symmetric normal ordered products and contractions Wick's Theorem for non-symmetric normal ordered products and contractions

1998-01-23

arxiv.org/abs/hep-ph/9801404v1

J.Math.Phys. 39 (1998) 5726-5738

Physics

High Energy Physics

High Energy Physics - Phenomenology

17 pages

Scientific paper

10.1063/1.532589

We consider arbitrary splits of field operators into two parts, and use the corresponding definition of normal ordering introduced by Evans and Steer. In this case the normal ordered products and contractions have none of the special symmetry properties assumed in existing proofs of Wick's theorem. Despite this, we prove that Wick's theorem still holds in its usual form as long as the contraction is a c-number. Wick's theorem is thus shown to be much more general than existing derivations suggest, and we discuss possible simplifying applications of this result.

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