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Pré-Publication, Document De Travail Année : 2008

Decomposition into one-particle irreducible Green functions in many-body physics

Résumé

Many-body physics can be considered as a quantum field theory (QFT) where the vacuum is replaced by a general quantum state. In quantum field theory, the vacuum expectation value of a normal product of creation and annihilation operators is always zero. This is no longer the case if the vacuum is replaced by a general state. As a consequence, the combinatorics of many-body physics is more complex than that of quantum field theory and the general theory has made very slow progress. In this work, an analysis of the Hopf algebraic structure of many-body physics is used to derive the structure of Green functions in terms of connected and one-particle irreducible Greeen functions.
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Dates et versions

hal-00267184 , version 1 (26-03-2008)
hal-00267184 , version 2 (19-12-2008)
hal-00267184 , version 3 (14-09-2010)
hal-00267184 , version 4 (07-01-2011)

Identifiants

Citer

Christian Brouder, Alessandra Frabetti, Frédéric Patras. Decomposition into one-particle irreducible Green functions in many-body physics. 2008. ⟨hal-00267184v1⟩

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