Moments of Isovector Quark Distributions in Lattice QCD
Abstract
We investigate the connection of lattice calculations of moments of isovector parton distributions to the physical regime through extrapolations in the quark mass. We consider the one pion loop renormalization of the nucleon matrix elements of the corresponding operators and thereby develop formulae with which to extrapolate the moments of the unpolarized, helicity and transversity distributions. There formulae are consistent with chiral perturbation theory in the chiral limit and incorporate the correct heavy quark limits. In the polarized cases, the inclusion of intermediate states involving the Delta isobar is found to be very important. The results of our extrapolations are in general agreement with the phenomenological values of these moments where they are known, and for the first time we perform an extrapolation of the low moments of the isovector transversity distribution which is consistent with chiral symmetry.
- Authors:
- Publication Date:
- Research Org.:
- Thomas Jefferson National Accelerator Facility (TJNAF), Newport News, VA (United States)
- Sponsoring Org.:
- USDOE Office of Energy Research (ER) (US)
- OSTI Identifier:
- 802944
- Report Number(s):
- JLAB-THY-02-51; DOE/ER/40150-2283
TRN: US0205660
- DOE Contract Number:
- AC05-84ER40150
- Resource Type:
- Conference
- Resource Relation:
- Conference: QNP '02 (International Conference on Quark Nuclear Physics), Juelich (DE), 06/09/2002--06/14/2002; Other Information: PBD: 1 Jun 2002
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 73 NUCLEAR PHYSICS AND RADIATION PHYSICS; CHIRAL SYMMETRY; ENANTIOMORPHS; EXTRAPOLATION; HELICITY; ISOVECTORS; MATRIX ELEMENTS; NUCLEAR PHYSICS; NUCLEONS; PARTONS; PERTURBATION THEORY; PIONS; QUANTUM CHROMODYNAMICS; QUARKS
Citation Formats
Detmold, W, Melnitchouk, Wally, and Thomas, A W. Moments of Isovector Quark Distributions in Lattice QCD. United States: N. p., 2002.
Web.
Detmold, W, Melnitchouk, Wally, & Thomas, A W. Moments of Isovector Quark Distributions in Lattice QCD. United States.
Detmold, W, Melnitchouk, Wally, and Thomas, A W. 2002.
"Moments of Isovector Quark Distributions in Lattice QCD". United States. https://www.osti.gov/servlets/purl/802944.
@article{osti_802944,
title = {Moments of Isovector Quark Distributions in Lattice QCD},
author = {Detmold, W and Melnitchouk, Wally and Thomas, A W},
abstractNote = {We investigate the connection of lattice calculations of moments of isovector parton distributions to the physical regime through extrapolations in the quark mass. We consider the one pion loop renormalization of the nucleon matrix elements of the corresponding operators and thereby develop formulae with which to extrapolate the moments of the unpolarized, helicity and transversity distributions. There formulae are consistent with chiral perturbation theory in the chiral limit and incorporate the correct heavy quark limits. In the polarized cases, the inclusion of intermediate states involving the Delta isobar is found to be very important. The results of our extrapolations are in general agreement with the phenomenological values of these moments where they are known, and for the first time we perform an extrapolation of the low moments of the isovector transversity distribution which is consistent with chiral symmetry.},
doi = {},
url = {https://www.osti.gov/biblio/802944},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Sat Jun 01 00:00:00 EDT 2002},
month = {Sat Jun 01 00:00:00 EDT 2002}
}