Low energy constants of {chi}PT from the instanton vacuum model
- Institut fuer Theoretische Physik II, Ruhr-Universitaet-Bochum, D-44780 Bochum (Germany)
- Theoretical Physics Department, Uzbekistan National University, Tashkent 700174 (Uzbekistan)
In the framework of the instanton vacuum model we make expansion over the current mass m and number of colors N{sub c} and evaluate O(1/N{sub c},m,m/N{sub c},mlnm/N{sub c}) corrections to the dynamical quark mass M, the quark condensate <qq>, the pion mass M{sub {pi}}, and decay constant F{sub {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{sub c} corrections to dynamical mass are large and mostly come from meson loops. As a consequence, we have large 1/N{sub c} corrections to all the other quantities. To provide the values of F{sub {pi}}(m=0), <qq(m=0)> in agreement with {chi}PT, we offer a new set of parameters {rho}, R. Finally, we find the low-energy SU(2){sub f} chiral Lagrangian constants l{sub 3},l{sub 4} in a rather good correspondence with the phenomenology.
- OSTI ID:
- 21032394
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 76, Issue 7; Other Information: DOI: 10.1103/PhysRevD.76.076007; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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