A nonperturbative study of three-dimensional phi⁴ theory

2000/02/28 by Mark Daniel Windoloski, Mark Windoloski, Windoloski, Mark
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Theory (hep-th) #hep-lat #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/0002243

21 pages, 10 figures. v2: acknowledgement added. v3: table and references added

openalex publication_date 2000/02/28 · arxiv created 2000/03/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The spherical field formalism---a nonperturbative approach to quantum field theory---was recently introduced and applied to phi⁴ theory in two dimensions. The spherical field method reduces a quantum field theory to a finite-dimensional quantum mechanical system by expanding field configurations in terms of spherical partial wave modes. We extend the formalism to phi⁴ theory in three dimensions and demonstrate the application of the method by analyzing the phase structure of this theory.

Related

• Mathematical basis, phase transitions and singularities of (3+1)-dimensional phi4 scalar field model
• High-order perturbative expansions of multi-parameter Phi⁴ quantum field theories
• Euclidean field theory on a sphere
• Short-range Interaction and Nonrelativistic Phi**4 Theory in Various Dimensions
• Complex structure and the construction of the :ϕ⁴₄: quantum field theory in four-dimensional space-time