High-order perturbative expansions of multi-parameter Phi⁴ quantum field theories

2007/12/14 by Andrea Pelissetto, Pelissetto, Andrea, Ettore Vicari +1
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Statistical Mechanics (cond-mat.stat-mech) #cond-mat.stat-mech #hep-th

paper · pdf · doi:10.48550/arxiv.0712.2377

12 pages

arxiv created 2007/12/14 · openalex publication_date 2007/12/14 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present high-order pertubative expansions of multi-parameter Phi⁴ quantum field theories with an N-component fundamental field, containing up to 4th-order polynomials of the field. Multi-parameter Phi⁴ theories generalize the simplest O(N)-symmetric Phi⁴ theories, and describe more complicated symmetry breaking patterns. These notes collect several high-order perturbative series of physically interesting multi-parameter Phi⁴ theories, to five or six loops. We consider the O(M)XO(N)-symmetric Phi⁴ model, the so-called MN model, and a spin-density-wave Phi⁴ model containing five quartic terms.

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