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The European Physical Journal C
ISSN: 1434-6044 (printed version)
ISSN: 1434-6052 (electronic version)
Abstract Volume 2 Issue 3 (1998) pp 557-567
DOI 10.1007/s100529800704
theoretical physics:
The linear meson model and chiral perturbation theory
D.-U. Jungnickel, C. Wetterich
Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, D-69120 Heidelberg, Germany (e-mail:D.Jungnickel@thphys.uni-heidelberg.de, C.Wetterich@thphys.uni-heidelberg.de)
Received: 21 April 1997 / Published online: 20 February 1998
Abstract. We compare the linear meson model and chiral perturbation theory in next to leading order in the quark mass expansion. In particular, we compute the couplings $L_4$-$L_8$ of chiral perturbation theory as functions of the parameters of the linear model. They are induced by the exchange of $0^{++}$ scalar mesons. We use a phenomenological analysis of the effective vertices of the linear model in terms of pseudoscalar meson masses and decay constants. Our results for the $L_i$ agree with previous phenomenological estimates.
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Online publication: April 25, 1998
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