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Some applications of renormalized RPA in bosonic field theories

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Abstract.

We present some applications of the renormalized RPA in bosonic field theories. We first present some developments for the explicit calculation of the total energy in \(\Phi^4\) theory and discuss its phase structure in 1 + 1 dimensions. We also demonstrate that the Goldstone theorem is satisfied in the O(N) model within the renormalized RPA.

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Authors and Affiliations

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

    H. Hansen & G. Chanfray

  2. Departamento de Física da Universidade de Coimbra, Centro de Física Teórica, P-3004-516, Coimbra, Portugal

    H. Hansen

Authors
  1. H. Hansen
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  2. G. Chanfray
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Correspondence to H. Hansen.

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Communicated by U.-G. Meißner

Received: 29 September 2003, Published online: 2 June 2004

PACS:

03.70. + k Theory of quantized fields - 12.39.Fe Chiral Lagrangians - 21.60.Jz Hartree-Fock and random-phase approximations - 24.10.Cn Many-body theory

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Hansen, H., Chanfray, G. Some applications of renormalized RPA in bosonic field theories. Eur. Phys. J. A 20, 459–467 (2004). https://doi.org/10.1140/epja/i2003-10164-5

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  • DOI: https://doi.org/10.1140/epja/i2003-10164-5

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