2013/08/31 by Fabio Siringo · 15 citations
Mathematics · Physics and Astronomy · #Applied mathematics #Black Holes and Theoretical Physics #Computer science #Fermion #Gauge (firearms) #Gauge theory #Integral equation #Mathematical analysis #Mathematical physics #Mathematics #Physics #Propagator #Quantum #Quantum Chromodynamics and Particle Interactions #Quantum Electrodynamics and Casimir Effect #Quantum electrodynamics #Quantum mechanics #Renormalization #Representation (politics) #Set (abstract data type) #Simple (philosophy) #hep-ph #hep-th #math-ph #math.MP
paper · pdf · doi:10.1103/physrevd.89.025005
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 89(2) (American Physical Society) · In Section II the method of arXiv:1308.1836 is reviewed and used for QED
openalex publication_date 2014/01/08 · arxiv created 2014/01/09 · arxiv updated 2014/01/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A variational method is discussed, based on the principle of minimal variance. The method seems to be suited for gauge interacting fermions, and the simple case of quantum electrodynamics is discussed in detail. The issue of renormalization is addressed, and the renormalized propagators are shown to be the solution of a set of finite integral equations. The method is proven to be viable, and, by a spectral representation, the multidimensional integral equations are recast in one-dimensional equations for the spectral weights. The UV divergences are subtracted exactly, yielding a set of coupled Volterra integral equations that can be solved iteratively and are known to have a unique solution.