Hamiltonian formulation of Wilson's lattice gauge theories
1975/01/15 by John B. Kogut, Leonard Susskind · 2 voices · 213 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions
paper · doi:10.1103/physrevd.11.395
openalex publication_date 1975/01/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29
Abstract
Wilson's lattice gauge model is presented as a canonical Hamiltonian theory. The structure of the model is reduced to the interactions of an infinite collection of coupled rigid rotators. The gauge-invariant configuration space consists of a collection of strings with quarks at their ends. The strings are lines of non-Abelian electric flux. In the strong-coupling limit the dynamics is best described in terms of these strings. Quark confinement is a result of the inability to break a string without producing a pair.
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