1999/10/13 by Marcelo M. Leite · 19 citations
Mathematics · Physics and Astronomy · #Advanced Chemical Physics Studies #Amplitude #Geometry #Lattice (music) #Mathematical physics #Mathematics #Nonlinear system #Physics #Point (geometry) #Propagator #Pure mathematics #Quadratic equation #Quantum electrodynamics #Quantum mechanics #Quartic function #Quintic function #Renormalization #Spectroscopy and Quantum Chemical Studies #Symmetry (geometry) #Theoretical and Computational Physics #cond-mat.stat-mech #hep-th
paper · pdf · doi:10.1103/physrevb.61.14691
published in Physical review. B, Condensed matter 61(21), 14691-14693 (American Physical Society) · 7 pages, latex
arxiv created 1999/10/13 · openalex publication_date 2000/06/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The susceptibility amplitude ratio in the neighborhood of a uniaxial Lifshitz point is calculated at the one-loop level using field-theoretic and \ensuremathεL-expansion methods. We use the Schwinger parametrization of the propagator in order to split the quadratic and quartic part of the momenta, as well as a new special symmetry point suitable for renormalization purposes. For a cubic lattice (d=3), we find the result C+/C_\ensuremath-=3.85.