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Otherwise stated, our model leads for the direct γππ-coupling to the realistic relation 2 2gρππ fπ2 gγππ = e 1 − . (110) Mρ2 The vertex ∼ gργππ contributes12 to rare decays like ρ0 → π + π − γ, with gργππ = egρππ . (111) We conclude that the electromagnetic interactions of the pseudoscalars as well as the vector mesons can be considered as a successful test of our simple model. The appearance of a local nonlinear reparameterization symmetry is a direct consequence of the “spontaneous breaking” of color.

The discrepancy with eq. (119) reflects the difference between the realistic value a ≈ 2 and a value of a which would result from (101) for κf = 1, fπ = f . The estimate (119) receives, however, important corrections. Omitted SU(3)V -violating effects from the strange quark mass result in corrections ∼ 30 %. Furthermore, since eq. (101) is no symmetry relation, it is subject to modifications from the inclusion of additional fields. It is precisely the inclusion of these effects in eq. e. fπ = f, κf < 1) that makes the prediction of our model for gρππ agree with observation.

135; S. Dimopoulos, S. Raby, L. Susskind, Nucl. Phys. B173 (1980) 208; T. Matsumoto, Phys. Lett. 97B (1980) 131; M. Yasu`e, Phys. Rev. D42 (1990) 3169 [3] T. Banks, E. Rabinovici, Nucl. Phys. B160 (1979) 349; E. Fradkin, S. Shenker, Phys. Rev. D19 (1979) 3682 [4] M. Reuter, C. Wetterich, Nucl. Phys. B408 (1993) 91; C. Wetterich, “Electroweak Physics and the Early Universe”, eds. J. Romao and F. Freire, Plenum Press (1994) 229; W. Buchm¨ uller, O. Philipsen, Nucl. Phys. B443 (1995) 47; K. Kajantie, M.

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