Finite size effects of a pion matrix element |
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Affiliation: | 2. Department of Physiology & Pharmacology, School of Medicine, Oregon Health & Science University, Portland, Oregon, USA;3. Alcohol Research and Treatment Clinic, Addiction Medicine Services, Ambulatory Care and Structured Treatments, Centre for Addiction and Mental Health, Toronto, Ontario, Canada;4. Campbell Family Mental Health Research Institute, Centre for Addiction and Mental Health, Toronto, Ontario, Canada;5. Department of Family and Community Medicine, University of Toronto, Toronto, Ontario, Canada |
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Abstract: | We investigate finite size effects of the pion matrix element of the non-singlet, twist-2 operator corresponding to the average momentum of non-singlet quark densities. Using the quenched approximation, they come out to be surprisingly large when compared to the finite size effects of the pion mass. As a consequence, simulations of corresponding nucleon matrix elements could be affected by finite size effects even stronger which could lead to serious systematic uncertainties in their evaluation. |
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