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On Asymptotic Expansions in Spin–Boson Models

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Abstract

We consider expansions of eigenvalues and eigenvectors of models of quantum field theory. For a class of models known as generalized spin–boson model, we prove the existence of asymptotic expansions of the ground state and the ground state energy to arbitrary order. We need a mild but very natural infrared assumption, which is weaker than the assumption usually needed for other methods such as operator theoretic renormalization to be applicable. The result complements previously shown analyticity properties.

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Authors and Affiliations

  1. Mathematical Institute, University of Jena, Ernst-Abbe-Platz 2, 07743, Jena, Germany

    Gerhard Bräunlich, David Hasler & Markus Lange

Authors
  1. Gerhard Bräunlich
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  2. David Hasler
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  3. Markus Lange
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Corresponding author

Correspondence to David Hasler.

Additional information

Communicated by Abdelmalek Abdesselam.

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Bräunlich, G., Hasler, D. & Lange, M. On Asymptotic Expansions in Spin–Boson Models. Ann. Henri Poincaré 19, 515–564 (2018). https://doi.org/10.1007/s00023-017-0625-7

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  • DOI: https://doi.org/10.1007/s00023-017-0625-7

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