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 -