Solitons in nonlocal chiral quark models

Details Solitons in nonlocal chiral quark models Solitons in nonlocal chiral quark models

2001-07-12

arxiv.org/abs/hep-ph/0107139v2

Nucl.Phys. A703 (2002) 667-701

Physics

High Energy Physics

High Energy Physics - Phenomenology

42 pages, 8 figures, a new section presenting the results with the chiral-circle constraint

Scientific paper

10.1016/S0375-9474(01)01670-0

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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