One-particle irreducibility with initial correlations

Abstract : In quantum field theory (QFT), the vacuum expectation value of a normal product of creation and annihilation operators is always zero. This simple property paves the way to the classical treatment of perturbative QFT. This is no longer the case in the presence of initial correlations, that is if the vacuum is replaced by a general state. As a consequence, the combinatorics of correlated systems such as the ones occurring in many-body physics is more complex than that of quantum field theory and the general theory has made very slow progress. Similar observations hold in statistical physics or quantum probability for the perturbation series arising from the study of non Gaussian measures. In this work, an analysis of the Hopf algebraic aspects of quantum field theory is used to derive the structure of Green functions in terms of connected and one-particle irreducible Greeen functions for perturbative QFT in the presence of initial correlations.
Type de document :
Article dans une revue
Arithmeric, Geometry and Coding Theory - Contemporary mathematics, American Mathematical Society, 2011, 539, pp.1-25. <10.1090/conm/539>
Liste complète des métadonnées


https://hal.archives-ouvertes.fr/hal-00267184
Contributeur : Christian Brouder <>
Soumis le : vendredi 7 janvier 2011 - 12:07:53
Dernière modification le : mardi 30 mai 2017 - 01:17:18
Document(s) archivé(s) le : vendredi 8 avril 2011 - 03:01:05

Fichiers

brouderpatrasAMS.pdf
Fichiers produits par l'(les) auteur(s)

Identifiants

Collections

Citation

Christian Brouder, Frédéric Patras. One-particle irreducibility with initial correlations. Arithmeric, Geometry and Coding Theory - Contemporary mathematics, American Mathematical Society, 2011, 539, pp.1-25. <10.1090/conm/539>. <hal-00267184v4>

Partager

Métriques

Consultations de
la notice

268

Téléchargements du document

90