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Seminars & Lectures

* TITLE

Low energy constants of chiral perturbation theory from the QCD instanton vacuum

* SPEAKERS

Name	Affiliation	E-mail
Prof. Yousuf Musakhanov	Uzbekistan National University	sec(at)apctp.org

* HOST(Applicant)

Name	Affiliation	E-mail
-

* DATE / TIME

2007-11-12, 15:00-16:00

* PLACE

APCTP Headquarters, Pohang, Korea

* ABSTRACT

In the framework of the instanton vacuum model we make expansion over the current mass m and number of colors N_c and evaluate O}(1/N_c, m, m/N_c, m ln m/N_c)-corrections to the dynamical quark mass M, the quark condensate , the pion mass M_pi and decay constant F_pi.
There are several sources of these corrections: meson loops, finite size of the instanton distribution and the quark-quark \"tensor\" interaction terms.

In contrast to the expectations, we found that numerically the 1/N_c-corrections to dynamical mass are large and mostly come from meson loops.
As a consequence, we have large 1/N_c-corrections to all the other quantities.
Our aim to give a qualitative guideline for the chiral extrapolation of lattice data , also.

Finally, we find the low-energy SU(2)_f chiral lagrangian constants bar l_3, bar l_4 in a rather good correspondence with the phenomenology.
This is a first step towards evaluation of the full set of the constants.

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