Approximating chiral quark models with linear sigma-models

Details Approximating chiral quark models with linear sigma-models Approximating chiral quark models with linear sigma-models

2002-10-14

arxiv.org/abs/hep-ph/0210200v2

Nucl.Phys. A714 (2003) 575-588

Physics

High Energy Physics

High Energy Physics - Phenomenology

minor misprints corrected, to appear in Nucl. Phys. A

Scientific paper

10.1016/S0375-9474(02)01377-5

We study the approximation of chiral quark models with simpler models, obtained via gradient expansion. The resulting Lagrangian of the type of the linear sigma-model contains, at the lowest level, an additional term with two derivatives. We investigate the dynamical consequences of this term and its relevance to the phenomenology of the soliton models of the nucleon. It is found that the inclusion of the new term allows for a more efficient approximation of the underlying quark theory, especially in those cases where dynamics allows for a large deviation of the chiral fields from the chiral circle, such as in quark models with non-local regulators.

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