2005/02/28 by Cayetano Di Bartolo, Lorenzo Leal, Francisco Peña-Benítez +1
Mathematics · Physics and Astronomy · #Abelian group #Ansatz #Black Holes and Theoretical Physics #Cold Atom Physics and Bose-Einstein Condensates #Gauge theory #Hamiltonian lattice gauge theory #Introduction to gauge theory #Lattice gauge theory #Loop (graph theory) #Mathematical physics #Mathematics #Numerical methods for differential equations #Physics #Quantum electrodynamics #Supersymmetric gauge theory #Theoretical physics #Wilson loop #hep-th
paper · pdf · doi:10.1142/s0217732305018608
published as Mod.Phys.Lett.A20:2735-2743,2005 · 7 pages, corrected typos
arxiv created 2005/03/04 · openalex publication_date 2005/10/26 · arxiv updated 2016/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
The equations obeyed by the vacuum expectation value of the Wilson loop of Abelian gauge theories are considered from the point of view of the loop-space. An approximative scheme for studying these loop-equations for lattice Maxwell theory is presented. The approximation leads to a partial difference equation in the area and length variables of the loop, and certain physically motivated ansatz is seen to reproduce the mean field results from a geometrical perspective.