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QCD as a Quantum Link Model

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arxiv hep-th/9704106 v1 pith:TGGMZEJV submitted 1997-04-14 hep-th hep-lat

QCD as a Quantum Link Model

classification hep-th hep-lat
keywords linkgaugequantummodeloperatorsresultingtermstheory
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Local Thermalization of SU(2) Lattice Gauge Fields on Quantum Computers

    hep-lat 2026-03 unverdicted novelty 7.0

    Quantum hardware simulation of SU(2) lattice gauge thermalization matches classical extrapolations up to 101 plaquettes after error mitigation, establishing feasibility for chaotic quantum field systems.

  2. Geometric fragmentation and anomalous thermalization in cubic dimer model

    hep-lat 2025-08 unverdicted novelty 7.0

    External electric fields in 3D U(1) quantum dimer models with staggered matter induce geometric fragmentation, weak fragmentation, and fractonic excitations in large winding sectors, producing anomalous thermalization.

  3. String dynamics of a (2+1)D U(1) quantum link model on a digital quantum computer

    quant-ph 2026-06 unverdicted novelty 6.0

    Digital quantum simulations of string dynamics in a (2+1)D U(1) quantum link model on IBM hardware with up to 112 qubits agree with tensor networks at short times and thermal averages at long times.

  4. Photonic Analog Quantum Simulation of (1+1)-Dimensional $U(1)$ Lattice Gauge Theory with Dynamical Matter

    hep-lat 2026-06 unverdicted novelty 6.0

    A mapping of the Jaynes-Cummings-Hubbard model onto the spin-1/2 Quantum Link Model via tuned polaritonic resonances in cavity arrays enables analog simulation of U(1) LGT dynamics with matter, verified by exact diago...

  5. Local Thermalization of SU(2) Lattice Gauge Fields on Quantum Computers

    hep-lat 2026-03 conditional novelty 6.0

    Error-mitigated IBM quantum hardware reproduces extrapolated classical simulations of entanglement growth and local thermalization for a truncated SU(2) gauge theory on chains up to 101 plaquettes.

  6. Scaling and Luescher Term in a non-Abelian (2+1)d SU$(2)$ Quantum Link Model

    hep-lat 2026-02 conditional novelty 6.0

    In an SU(2) quantum link model on a hexagonal lattice, the static quark potential shows a coupling-dependent Lüscher term and logarithmically growing string width, indicating a rough confining string with no continuum limit.