Perturbative renormalization of proton observables in lattice QCD using domain wall fermions
Name
61347465-MIT.pdf
Description
Full printable version
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8.07 MB
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5897b94929bb54fb20a5e75e8bbe11d2
Author(s)
BistroviÄ , Bojan
Advisor(s)
John Negele.
Date Issued
2005
Publisher
Massachusetts Institute of Technology
Abstract
Deep inelastic scattering unambiguously measures hadron observables characterizing the quark-gluon structure of hadrons. The only way to calculate these observables from first principles is lattice QCD. Experiments measure matrix elements of light cone operators ... where diagonal elements specify the quark density distribution q(x), quark helicity distribution [delta] q(x) and quark transversity distribution [delta] q(x). Off-diagonal elements determine form factors and general parton distributions. Due to the Minkowskian nature of these matrix elements, they cannot be evaluated on a Euclidean lattice so one uses the operator product expansion to calculate matrix elements ... which specify moments of these distributions. In this thesis, renormalization factors have been calculated for local bilinear operators of the form ... in a given irreducible representation of hypercubic group as well as mixing coefficients of those operators for low moments of physical interest. In the past, it was only possible to calculate with quark masses such that ... Now for the first time using Ginsparg-Wilson "Domain Wall" fermions with HYP smearing and full QCD configurations on large lattices make calculations possible in the physical chiral regime.
Description
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Physics, 2005.
Includes bibliographical references (v. 2, leaves 271-273).
Subjects
Physics.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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