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The Structure of Green Functions in Quantum Field Theory with a General State

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Quantum Field Theory

Abstract

In quantum field theory the Green function is usually calculated as the expectation value of the time-ordered product of fields over the vacuum. In some cases, especially in degenerate systems, expectation values over general states are required. The corresponding Green functions are essentially more complex than in the vacuum, because they cannot be written in terms of standard Feynman diagrams. Here a method is proposed to determine the structure of these Green functions and to derive nonperturbative equations for them. The main idea is to transform the cumulants describing correlations into interaction terms.

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Authors and Affiliations

  1. Institut de Minéralogie et de Physique des Milieux Condensés, CNRS UMR7590, Université Paris 6, 140 rue de Lourmel, FR-75015, Paris

    Christian Brouder

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  1. Christian Brouder
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  1. Max-Planck-Institut für Mathematik in den Naturwissenschaften, Inselstrasse 22-26, D-04103, Leipzig, Germany

    Bertfried Fauser , Jürgen Tolksdorf  & Eberhard Zeidler ,  & 

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Brouder, C. (2009). The Structure of Green Functions in Quantum Field Theory with a General State. In: Fauser, B., Tolksdorf, J., Zeidler, E. (eds) Quantum Field Theory. Birkhäuser Basel. https://doi.org/10.1007/978-3-7643-8736-5_10

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