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Solitons in nonlocal chiral quark models

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arxiv hep-ph/0107139 v2 pith:73WJTSKE submitted 2001-07-12 hep-ph nucl-th

classification hep-phnucl-th
keywords solitonsnonlocalchiralcurrentshedgehogmodelmodelsnoether
verification ladder T0 review T1 audit T2 compute T3 formal
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Properties of hedgehog solitons in a chiral quark model with nonlocal regulators are described. We discuss the formation of the hedgehog soliton, the quantization of the baryon number, the energetic stability, the gauging and construction of Noether currents with help of path-ordered P-exponents, and the evaluation of observables. The issue of nonlocality is thoroughly discussed, with a focus on contributions to observables related to the Noether currents. It is shown that with typical model parameters the solitons are not far from the weak nonlocality limit. The methods developed are applicable to solitons in models with separable nonlocal four-fermion interactions.

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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. Electromagnetic form factors of the nucleon from the instanton vacuum

    hep-ph 2026-05 unverdicted novelty 5.0 of 10

    Nucleon EM form factors computed in instanton vacuum model with parameters fixed by saddle-point equation yield proton charge radius 0.841 fm matching muonic hydrogen and good agreement on Q2 dependence of ratios.

  2. Nucleon and singly heavy baryons from the QCD instanton vacuum

    hep-ph 2025-01 conditional novelty 5.0 of 10

    A chiral soliton model with a momentum-dependent quark mass from the instanton vacuum predicts Delta-N and Sigma_Q-Lambda_Q mass splittings of 214 and 206 MeV.

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