Göttingen 1997 – wissenschaftliches Programm

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HK: Hadronen und Kerne

HK 66: Struktur von Baryonen und Mesonen VII

HK 66.6: Vortrag

Donnerstag, 27. März 1997, 18:15–18:30, HS I

Effective chiral lagrangian from dual amplitudes — •M. V. Polyakov — Institut f. Theoretische Physik II, Ruhr–Univ. Bochum — Petersburg Nuclear Physics Institute, St. Petersburg

Parameters of the effective chiral lagrangian (EChL) of orders O(p⁴) and O(p⁶) are extracted from low–energy behaviour of dual models for ππ and π K scattering amplitudes. Obtained parameters of the EChL are used to estimate chiral corrections up to the sixth order to various low–energy characteristics of ππ and π K scattering amplitudes.

We show that considered dual models are consistent with all low–energy theorems for soft pions and with non–topological chiral anomaly of the large N_c QCD. The latter fact is an additional evidence in favour of close relations between QCD in the large N_c limit and some string theory. We discuss possible relations between Weinberg’s mended symmetries [1] and some effective string theory.

[1] S. Weinberg, Phys. Rev. Lett. , v. 65 (1990) 1177