TY - JOUR

T1 - Finite-volume two-pion amplitudes in the I = 0 channel

AU - Lin, Chi-Jen

AU - Martinelli, G.

AU - Pallante, E.

AU - Sachrajda, C. T.

AU - Villadoro, G.

PY - 2003/2/6

Y1 - 2003/2/6

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0037421557&partnerID=8YFLogxK

U2 - 10.1016/S0370-2693(02)03228-8

DO - 10.1016/S0370-2693(02)03228-8

M3 - Article

AN - SCOPUS:0037421557

VL - 553

SP - 229

EP - 241

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 3-4

ER -