2006/11/01 by P. R. Crompton
Mathematics · Physics and Astronomy · #Continuation #Exact solutions in general relativity #Gauge theory #Lattice (music) #Lattice field theory #Lattice gauge theory #Mathematical analysis #Mathematical physics #Mathematics #Meromorphic function #Physics #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Quantum electrodynamics #Quantum mechanics #Renormalization #Renormalization group #Theoretical and Computational Physics #hep-lat
paper · pdf · doi:10.1103/physrevd.74.096001
published as Phys.Rev.D74:096001,2006 · 12 pages
openalex publication_date 2006/11/01 · arxiv created 2006/11/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We propose an exact renormalization group equation for lattice gauge theories, which has no dependence on the lattice spacing. We instead relate the lattice spacing properties directly to the continuum convergence of the support of each local plaquette. Equivalently, this is formulated as a convergence prescription for a characteristic polynomial in the gauge coupling that allows the exact meromorphic continuation of a nonperturbative system arbitrarily close to the continuum limit.