1995/10/11 by S. Randjbar--Daemi, S Randjbar-Daemi, J Strathdee +1 · 1 citation
Physics and Astronomy · #Dimensional regularization #Fermion #Feynman diagram #Gauge theory #Lattice (music) #Particle physics theoretical and experimental studies #QED vacuum #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #Regularization (linguistics) #Renormalization #Vacuum polarization #hep-lat #hep-th
paper · pdf · doi:10.1016/0550-3213(95)00668-0
published as Nucl.Phys. B461 (1996) 305-326 · 23 pages, LaTeX
arxiv created 1995/10/11 · openalex publication_date 1996/02/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The vacuum polarization due to chiral fermions on a 4--dimensional Euclidean lattice is calculated according to the overlap prescription. The fermions are coupled to weak and slowly varying background gauge and Higgs fields, and the polarization tensor is given by second order perturbation theory. In this order the overlap constitutes a gauge invariant regularization of the fermion vacuum amplitude. Its low energy -- long wavelength behaviour can be computed explicitly and we verify that it coincides with the Feynman graph result obtainable, for example, by dimensional regularization of continuum gauge theory. In particular, the Standard Model Callan--Symanzik RG functions are recovered. Moreover, there are no residual lattice artefacts such as a dependence on Wilson--type mass parameters.