On the Hopf algebraic origin of Wick normal ordering. (Q2716816)
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scientific article; zbMATH DE number 1599458
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Hopf algebraic origin of Wick normal ordering. |
scientific article; zbMATH DE number 1599458 |
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16 May 2001
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Rota-Stein Cliffordization
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\(n\)-point correlatin functions
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normal ordering
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On the Hopf algebraic origin of Wick normal ordering. (English)
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It is shown that the conventional Wick ordering of perturbative Quantum Field Theory has the structure of the Grassmann-Hopf algebra. With the help of the Rota-Stein Cliffordization the author presents a closed formula for reordering time- into normal-ordered and normal- into time-ordered \(n\)-point correlation functions. The Hopf algebraic nature of this reordering process is demonstrated. It is also shown that the integer grading of the Grassmann-Hopf algebra is not preserved and how this is related to different vacua. The author also discusses how the Stumpf approach to nonperturbative normal ordering is related to the Hopf algebraic method.
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