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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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