Approximating chiral quark models with linear sigma-models

Abstract

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.

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

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Cited by in corpus (9)

• Scalar-isoscalar states in the large-Nc Regge approach
• Roper resonances in chiral quark models
• Nucleon Properties in the Quantized Linear Sigma Model at Finite Temperature and Chemical Potential
• Nucleon Properties at Finite Temperature in the Extended Quark-Sigma Model
• The baryon mass calculation in the chiral soliton model at finite temperature and density
• Studying the baryon properties through chiral soliton model at finite temperature and denstity
• Mean-field approximation for the chiral soliton in a chiral phase transition
• Linear Sigma Model at Finite Temperature and Baryonic Chemical Potential Using the Midpoint Technique
• Nucleon Properties from Approximating Chiral Quark Sigma Model