Finite-Volume Two-Pion Amplitudes in the I=0 Channel

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dc.creatorLin, C. -J. D.
dc.creatorMartinelli, G.
dc.creatorPallante, E.
dc.creatorSachrajda, C. T.
dc.creatorVilladoro, G.
dc.date2002-11-29
dc.date2003-01-04
dc.date.accessioned2026-07-07T11:08:53Z
dc.date.available2026-07-07T11:08:53Z
dc.descriptionWe 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 $K \to ππ$ amplitudes with $ΔI=1/2$. Our results raise the important question of whether it is consistent to study $K\toππ$ amplitudes beyond leading order in chiral perturbation theory in quenched or partially quenched QCD.
dc.descriptionVersion to appear on Phys. Lett. B, with only very minor and stylistic changes
dc.identifierhttps://arxiv.org/abs/hep-lat/0211043
dc.identifierhttp://arxiv.org/abs/hep-lat/0211043
dc.identifierPhys.Lett.B553:229-241,2003
dc.identifierdoi:10.1016/S0370-2693(02)03228-8
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/190288
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.titleFinite-Volume Two-Pion Amplitudes in the I=0 Channel
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