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-Resonance and convergence of chiral perturbation theory

Publication ,  Conference
Cecile, DJ; Chandrasekharan, S
Published in: Proceedings of Science
January 1, 2008

The dimensionless parameter′ = M2/(16π2F2), where F is the pion decay constant in the chiral limit and M is the pion mass at leading order in the quark mass, is expected to control the convergence of chiral perturbation theory applicable to QCD. Here we demonstrate that a strongly coupled lattice gauge theory model with the same symmetries as two-flavor QCD but with a much lighter -resonance is different. Our model allows us to study efficiently the convergence of chiral perturbation theory as a function of . We first confirm that the leading low energy constants appearing in the chiral Lagrangian are the same when calculated from the -regime and the p-regime. However,′ . 0.002 is necessary before 1-loop chiral perturbation theory predicts the data within 1%. However, for′ > 0.0035 the data begin to deviate qualitatively from 1-loop chiral perturbation theory predictions. We argue that this qualitative change is due to the presence of a light -resonance in our model. Our findings may be useful for lattice QCD studies.

Duke Scholars

Published In

Proceedings of Science

EISSN

1824-8039

Publication Date

January 1, 2008

Volume

66
 

Citation

APA
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ICMJE
MLA
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Cecile, D. J., & Chandrasekharan, S. (2008). -Resonance and convergence of chiral perturbation theory. In Proceedings of Science (Vol. 66).
Cecile, D. J., and S. Chandrasekharan. “-Resonance and convergence of chiral perturbation theory.” In Proceedings of Science, Vol. 66, 2008.
Cecile DJ, Chandrasekharan S. -Resonance and convergence of chiral perturbation theory. In: Proceedings of Science. 2008.
Cecile, D. J., and S. Chandrasekharan. “-Resonance and convergence of chiral perturbation theory.” Proceedings of Science, vol. 66, 2008.
Cecile DJ, Chandrasekharan S. -Resonance and convergence of chiral perturbation theory. Proceedings of Science. 2008.

Published In

Proceedings of Science

EISSN

1824-8039

Publication Date

January 1, 2008

Volume

66