By Aron M Bernstein; José L Goity; Ulf-G Meissner
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Additional info for Chiral dynamics : theory and experiment III : Jefferson Laboratory, USA, July 17-22, 2000
Experimental work on this reaction is presently in progress at Jefferson Lab[Miskimen]. 5 Conclusions • Experimental chiral dynamics is the measurement of the properties, interactions, production and decay amplitudes of the Goldstone Bosons; these occur as the consequences of the spontaneously broken (hidden) chiral s y m m e t r y of Q C D . It is physically interesting t o classify observables by their behavior in the chiral limit. • T h e experiments are fundamental, timely, and technically challenging.
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Indeed, not only the scales Mo,M 2 that specify the corrections of order m, but also those of the terms proportional to the square of a logarithm, are determined by the effective coupling constants that occur at first nonleading order in the derivative expansion of the effective Lagrangian, Ceff = C^ + C^ + £ ' 6 ' + . . It is convenient to use the corresponding running couplings at the scale \i = M, which are denoted by n * i , . . , £4 and also depend logarithmically on M: 2 A„ (6) M In terms of these quantities, the scales occurring in the expansion of the scattering lengths are given by 4 = l n ^2 .