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).
Constituent Quarks from QCD
2 Pith papers cite this work. Polarity classification is still indexing.
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abstract
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.
fields
hep-th 2years
2026 2representative citing papers
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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Gauge-Invariant Off-Shell Mass
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).
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Spin-charge deconfinement and emergent $\mathrm{AdS}_3$ structure from a self-consistent dressing of Fierz-complete $(1+1)$d Dirac fermions
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).