Finite-volume two-pion amplitudes in the I = 0 channel

Chi-Jen Lin, G. Martinelli, E. Pallante, C. T. Sachrajda*, G. Villadoro

*Corresponding author for this work

研究成果: Article同行評審

24 引文 斯高帕斯(Scopus)

摘要

We perform a calculation in one-loop chiral perturbation theory of the two-pion matrix elements and correlation functions of an I = 0 scalar operator, in finite and infinite volumes for both full and quenched QCD. We Show that major difficulties arise in the quenched theory due to the lack of unitarity. Similar problems are expected for quenched lattice calculations of K → π π amplitudes with ΔI = 1/2. Our results raise the important question of whether it is consistent to study K → π π amplitudes beyond leading order in chiral perturbation theory in quenched or partially quenched QCD.

原文English
頁(從 - 到)229-241
頁數13
期刊Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
553
發行號3-4
DOIs
出版狀態Published - 6 二月 2003

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