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arXiv · hep-th/9704106

QCD as a Quantum Link Model

R. Brower·S. Chandrasekharan·U. -J. Wiese
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Abstract

QCD is constructed as a lattice gauge theory in which the elements of the link matrices are represented by non-commuting operators acting in a Hilbert space. The resulting quantum link model for QCD is formulated with a fifth Euclidean dimension, whose extent resembles the inverse gauge coupling of the resulting four-dimensional theory after dimensional reduction. The inclusion of quarks is natural in Shamir's variant of Kaplan's fermion method, which does not require fine-tuning to approach the chiral limit. A rishon representation in terms of fermionic constituents of the gluons is derived and the quantum link Hamiltonian for QCD with a U(N) gauge symmetry is expressed in terms of glueball, meson and constituent quark operators. The new formulation of QCD is promising both from an analytic and from a computational point of view.

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R. Brower, S. Chandrasekharan, U. -J. Wiese. 1997-04-14. QCD as a Quantum Link Model. https://doi.org/10.1103/physrevd.60.094502

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