2001/02/14 by Dirk Lehmann, Gary Prezeau, Gary Prézeau · 1 citation
Mathematics · Physics and Astronomy · #Applied mathematics #Black Holes and Theoretical Physics #Classical mechanics #Computer science #Covariant transformation #Diagrammatic reasoning #Dimensional regularization #Lagrangian #Lorentz transformation #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Regularization (linguistics) #Renormalization #hep-ph #nucl-th
paper · pdf · doi:10.1103/physrevd.65.016001
published as Phys.Rev. D65 (2002) 016001 · 22 pages, 11 figures and 1 table
arxiv created 2001/02/14 · openalex publication_date 2001/12/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
A Lorentz-covariant regularization scheme for effective field theories with an arbitrary number of propagating heavy and light particles is given. This regularization scheme leaves the low-energy analytic structure of Greens functions intact and preserves all the symmetries of the underlying Lagrangian. The power divergences of regularized loop integrals are controlled by the low-energy kinematic variables. Simple diagrammatic rules are derived for the regularization of arbitrary one-loop graphs and the generalization to higher loops is discussed.