Pion wave functions and truncation sensitivity of QCD sum rules

Journal Article · Sat Feb 01 04:00:00 EST 1997 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.55.2422· OSTI ID:467495

Duncan, A ^[1]; Pernice, S ^[2]; Schnapka, E ^[3]

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1. Department of Physics, Columbia University, New York, New York 10027 (United States)
2. Department of Physics and Astronomy, University of Rochester, Rochester, New York 14627 (United States)
3. Institut fuer Theoretische Physik, Technische Universitaet, Muenchen, James-Franck-Strasse, D-85748 Garching (Germany)

The systematic errors inherent in the QCD sum rule approach to meson wave functions are examined in the context of QCD in 1+1 spacetime dimensions in the large N limit where the theory is exactly solvable. The systematic sensitivity of the sum rules reconstruction of meson wave functions to the input data at large Q{sup 2} is studied in this model. We find that the reliable extraction of (a few) higher moments is possible provided a reasonably accurate uniform approximation to the Euclidean correlator over a suitable Q{sup 2} range is available, but that the extracted values are particularly sensitive to the balance of lower and higher twist contributions. Underestimates of lower twist contributions or overestimates of the highest twist term may lead to too high values for the second and fourth moments of the pion wave function, suggesting a doubly peaked structure of the Chernyak-Zhitnitsky-type. Lattice discretization is shown to lead to similar distortions in the balance of lower and higher twist terms. {copyright} {ital 1997} {ital The American Physical Society}

• Research Organization: University of Rochester
• DOE Contract Number: FG02-91ER40685
• OSTI ID: 467495
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 4 Vol. 55; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
MOMENTUM TRANSFER
PIONS
QUANTUM CHROMODYNAMICS
SENSITIVITY
SPACE-TIME
SUM RULES
TWO-DIMENSIONAL CALCULATIONS
WAVE FUNCTIONS