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Harmonic Oscillator Prepotentials in SU(2) Lattice Gauge Theory

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arxiv hep-lat/0403029 v1 pith:LICKI7V4 submitted 2004-03-30 hep-lat

Manu Mathur This is my paper · ORCID
classification hep-lat
keywords gaugetermslatticeprepotentialstheoryformulationhamiltonianharmonic
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We write the SU(2) lattice gauge theory Hamiltonian in (d+1) dimensions in terms of prepotentials which are the SU(2) fundamental doublets of harmonic oscillators. The Hamiltonian in terms of prepotentials has $SU(2) \otimes U(1)$ local gauge invariance. In the strong coupling limit, the color confinement in this formulation is due to the U(1) gauge group. We further solve the $SU(2) \otimes U(1)$ Gauss law to characterize the physical Hilbert space in terms of a set of gauge invariant integers. We also obtain certain novel gauge invariant operators in terms of the above oscillators. The corresponding prepotential formulation of SU(N) lattice gauge theory is also simple and discussed.

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Cited by 2 Pith papers

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

  1. Eigenstate Thermalization in 1+1-Dimensional SU(2) Lattice Gauge Theory Coupled with Dynamical Fermions

    hep-th 2025-09 conditional novelty 6.0 of 10

    Exact diagonalization shows 1+1D SU(2) lattice gauge theory with dynamical fermions satisfies ETH, including for non-local string operators that display a memory peak.

  2. Observation of Robust and Coherent Non-Abelian Hadron Dynamics on Noisy Quantum Processors

    hep-lat 2026-02 reject novelty 5.0 of 10

    A 60-site SU(2) lattice gauge theory was run on 120 qubits, but the implemented dynamics approximate to non-interacting fermion hopping, and the abstract's claimed breathing-mode frequency is not extracted anywhere.

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