1994/10/03 by B. Rusakov
Mathematics · Physics and Astronomy · #Boundary value problem #Gauge theory #Half-integer #Integer lattice #Ising model #Lattice (music) #Lattice QCD #Lattice field theory #Lattice gauge theory #Mathematical analysis #Mathematical physics #Mathematics #Observable #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #hep-th
paper · pdf · doi:10.1016/0370-2693(94)01488-x
published as Phys.Lett. B344 (1995) 293-300 · TAUP-2204-94, 12pp., LaTeX
arxiv created 1994/10/03 · openalex publication_date 1995/01/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Pure gauge lattice QCD at arbitrary D is considered. Exact integration over link variables in an arbitrary D-volume leads naturally to an appearance of a set of surfaces filling the volume and gives an exact expression for functional of their boundaries. The interaction between each two surfaces is proportional to their common area and is realized by a non-local matrix differential operator acting on their boundaries. The surface self-interaction is given by the QCD2 functional of boundary. Partition functions and observables (Wilson loop averages) are written as an averages over all configurations of an integer-valued field living on a surfaces.