On the Hopf algebraic origin of Wick normal-ordering

Details On the Hopf algebraic origin of Wick normal-ordering On the Hopf algebraic origin of Wick normal-ordering

2000-07-05

arxiv.org/abs/hep-th/0007032v1

J.Phys.A34:105-116,2001

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 3 Figures

Scientific paper

10.1088/0305-4470/34/1/308

A combinatorial formula of G.-C. Rota and J.A. Stein is taken to perform Wick re-ordering in quantum field theory. Wick's theorem becomes a Hopf algebraic identity called Cliffordization. The combinatorial method relying on Hopf algebras is highly efficient in computations and yields closed algebraic expressions. AMS Subject Classifications 2000: 81R50; 16W30

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