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Random phase approximation and extensions applied to a bosonic field theory

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Abstract:

An application of a self-consistent version of RPA to quantum field theory with broken symmetry is presented. Although our approach can be applied to any bosonic field theory, we specifically study the ϕ4 theory in 1 + 1 dimensions. We show that the standard RPA approach leads to an instability which can be removed when going to a superior version, i.e. the renormalized RPA. We present a method based on the so-called charging formula of the many-electron problem to calculate the correlation energy and the RPA effective potential.

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Authors and Affiliations

  1. IPN Lyon, 43 Bd du 11 Novembre 1918, F-69622 Villeurbanne Cedex, France, , , , , , FR

    H. Hansen, G. Chanfray & D. Davesne

  2. IPN Orsay, Université Paris-Sud, France, , , , , , FR

    P. Schuck

Authors
  1. H. Hansen
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  2. G. Chanfray
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  3. D. Davesne
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  4. P. Schuck
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Additional information

Received: 18 February 2002 / Accepted: 8 May 2002

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Hansen, H., Chanfray, G., Davesne, D. et al. Random phase approximation and extensions applied to a bosonic field theory. Eur Phys J A 14, 397–411 (2002). https://doi.org/10.1140/epja/i2002-10023-y

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  • DOI: https://doi.org/10.1140/epja/i2002-10023-y

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