Calculation of the Chiral Lagrangian Coefficients from the Underlying Theory of QCD: A Simple Approach

Details Calculation of the Chiral Lagrangian Coefficients from the Underlying Theory of QCD: A Simple Approach Calculation of the Chiral Lagrangian Coefficients from the Underlying Theory of QCD: A Simple Approach

2002-03-05

arxiv.org/abs/hep-ph/0203040v3

Phys.Rev. D66 (2002) 014019

Physics

High Energy Physics

High Energy Physics - Phenomenology

Further typos corrected, to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.66.014019

We calculate the coefficients in the chiral Lagrangian approximately from QCD based on a previous study of deriving the chiral Lagrangian from the first principles of QCD in which the chiral Lagrangian coefficients are defined in terms of certain Green's functions in QCD. We first show that, in the large N(c)-limit, the anomaly part contributions to the coefficients are exactly cancelled by certain terms in the normal part contributions, and the final results of the coefficients only concern the remaining normal part contributions depending on QCD interactions. We then do the calculation in a simple approach with the approximations of taking the large-N(c) limit, the leading order in dynamical perturbation theory, and the improved ladder approximation, thereby the relevant Green's functions are expressed in terms of the quark self energy. By solving the Schwinger-Dyson equation for the quark self energy, we obtain the approximate QCD predicted coefficients and the quark condensate which are consistent with the experimental values.

Affiliated with

Also associated with

No associations

Rating

Calculation of the Chiral Lagrangian Coefficients from the Underlying Theory of QCD: A Simple Approach does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Calculation of the Chiral Lagrangian Coefficients from the Underlying Theory of QCD: A Simple Approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Calculation of the Chiral Lagrangian Coefficients from the Underlying Theory of QCD: A Simple Approach will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-75832