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Constituent Quarks from QCD

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arxiv hep-ph/9509344 v2 pith:U6YVEYFO submitted 1995-09-20 hep-ph hep-th

classification hep-phhep-th
keywords gaugeinvariantinterquarkpotentialpropagatorquarksbuildingcalculated
verification ladder T0 review T1 audit T2 compute T3 formal
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Starting from the observation that colour charge is only well defined on gauge invariant states, we construct perturbatively gauge invariant, dynamical dressings for individual quarks. Explicit calculations show that an infra-red finite mass-shell renormalisation of the gauge invariant, dressed propagator is possible and, further, that operator product effects, which generate a running mass, may be included in a gauge invariant way in the propagator. We explain how these fields may be combined to form hadrons and show how the interquark potential can now be directly calculated. The onset of confinement is identified with an obstruction to building a non-perturbative dressing. We propose several methods to extract the hadronic scale from the interquark potential. Various extensions are discussed.

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Cited by 4 Pith papers

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

  1. A Baryon and Lepton Number Violation Model Testable at the LHC

    hep-ph 2025-08 conditional novelty 7.0 of 10

    A TeV-scale baryon number violation model with three new scalars evades proton decay limits and predicts a same-sign dimuon plus anti-top signature at the LHC.

  2. Gauge-Invariant Off-Shell Mass

    hep-th 2026-07 conditional novelty 6.5 of 10

    A segment-local Ward–Takahashi cancellation makes the fermion self-energy equal to its Feynman-gauge value off shell, yielding a gauge-invariant, on-shell-renormalized mass function m(q).

  3. Finiteness of the Yang-Mills-Chern-Simons action in linear covariant gauges by taking into account gauge copies

    hep-th 2025-02 conditional novelty 5.0 of 10

    Adding Gribov-copy removal and condensates to three-dimensional Yang-Mills-Chern-Simons theory in linear covariant gauges leaves the theory finite at all orders.

  4. Spin-charge deconfinement and emergent $\mathrm{AdS}_3$ structure from a self-consistent dressing of Fierz-complete $(1+1)$d Dirac fermions

    hep-th 2026-06 unverdicted novelty 4.0 of 10

    A self-consistent dressing of Fierz-complete (1+1)d Dirac fermions yields spin-charge deconfinement diagnosed by Wilson loops, an emergent sl(2,R) gauge field, and an order-parameter manifold promoted to AdS3 ≅ SL(2,R).

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