1994/12/29 by J. R. Shepard, V. Dmitrašinović, J. A. McNeil · 1 citation
Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Theoretical and Computational Physics #hep-lat #nucl-th
paper · pdf · doi:10.1103/physrevd.51.7017
published as Phys.Rev.D51:7017-7025,1995 · 16 pages, 4 figures appended to end of this file
arxiv created 1994/12/29 · openalex publication_date 1995/06/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study constraint effective potentials for various strongly interacting \mathrm\ensuremathφ4 theories. Renormalization-group (RG) equations for these quantities are discussed and a heuristic development of a commonly used RG approximation is presented which stresses the relationships among the loop expansion, the Schwinger-Dyson method, and the renormalization-group approach. We extend the standard RG treatment to account explicitly for finite lattice effects. Constraint effective potentials are then evaluated using Monte Carlo (MC) techniques and careful comparisons are made with RG calculations. An explicit treatment of finite lattice effects is found to be essential in achieving quantitive agreement with the MC effective potentials. Excellent agreement is demonstrated for d=3 and d=4, O(1) and O(2) cases in both symmetric and broken phases.