English

High-order perturbative expansions of multi-parameter Phi^4 quantum field theories

High Energy Physics - Theory 2007-12-19 v1 Statistical Mechanics

Abstract

We present high-order pertubative expansions of multi-parameter Phi^4 quantum field theories with an N-component fundamental field, containing up to 4th-order polynomials of the field. Multi-parameter Phi^4 theories generalize the simplest O(N)-symmetric Phi^4 theories, and describe more complicated symmetry breaking patterns. These notes collect several high-order perturbative series of physically interesting multi-parameter Phi^4 theories, to five or six loops. We consider the O(M)XO(N)-symmetric Phi^4 model, the so-called MN model, and a spin-density-wave Phi^4 model containing five quartic terms.

Keywords

Cite

@article{arxiv.0712.2377,
  title  = {High-order perturbative expansions of multi-parameter Phi^4 quantum field theories},
  author = {Andrea Pelissetto and Ettore Vicari},
  journal= {arXiv preprint arXiv:0712.2377},
  year   = {2007}
}

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12 pages