Highlights of Significant Contributions

• Created lattice-QCD based visualizations and animations of QCD vacuum structure and its response to hadrons that have been featured in the 2004 Nobel Prize Acceptance Lecture of Prof. Frank Wilczek, scientific annual reports around the world and in popular international science magazine and newspaper articles.

• Designed and implemented the first comprehensive investigation of spin-0 and spin-1 octet meson electromagnetic form factors in lattice QCD. This work is the first to reveal that the charge distribution of the vector meson is not spherically symmetric but rather has an oblate shape.

• Developed new methods for identifying the power-counting regime of chiral perturbation theory.

• Created a novel formalism based on partially-quenched chiral effective field theory and lattice QCD simulations for determining the strangeness magnetic moment of the nucleon, $G_M^s = -0.046 \pm 0.019\ \mu_N$, and strangeness form factor of the nucleon $G_E^s(Q^2=0.1 {\rm GeV}^2) = +0.001 \pm 0.006$ in agreement with the latest experimental measurements but an order of magnitude more precise than the experimental measurements of 2004.

• Revealed the presence of chiral nonanalytic behavior in the magnetic moments of octet and decuplet baryons via numerical simulations of FLIC fermions in the light quark-mass regime of QCD.

• Established the improved convergence properties of Finite-Range-Regularized (FRR) Chiral Perturbation Theory, vital to resolving the chiral extrapolation problem in Lattice QCD.

• Invented a diagrammatic method for the transparent and rapid determination of chiral-expansion coefficients for quenched chiral perturbation theory.

• Created the Fat-Link Irrelevant Clover (FLIC) fermion action; an efficient lattice fermion operator with excellent scaling properties providing near-continuum results at finite lattice spacing and superior chiral properties enabling access to the light quark-mass regime.

• Designed and implemented the first analysis of the mass and renormalization functions of the Overlap-quark propagator. The nature of the AsqTad propagator has also been established with these techniques.

• Resolved the momentum dependence of the Landau gauge gluon propagator in the infrared regime via lattice QCD simulations.

• Designed and implemented the first complete ${\cal O}(a^2)$-improved analysis of the Landau gauge gluon propagator, including an ${\cal O}(a^2)$-improved action and ${\cal O}(a^2)$-improved Landau gauge fixing.

• Illustrated the essential role of chiral nonanalytic behavior in extrapolations of hadronic observables to the light quark-mass regime.

• Developed and tested new parity-projection methods for exploring $N^*$ physics in lattice gauge theory. Implemented the first analysis of $N^*1/2^-$ and $N^*3/2^-$ low-lying odd-parity nucleon states in lattice QCD.

• Identified an approach establishing the scalar and vector self-energies of the nucleon in finite density nuclear matter, independent of the problematic scalar-scalar four-quark condensates.

• Resolved the behavior of the $\rho$-meson mass and decay constant in finite density nuclear matter as extracted from QCD Sum Rules.

• Designed and implemented the first Monte-Carlo based uncertainty analysis for the QCD Sum Rule approach to QCD, thus determining the predictive ability of the technique.

• Solved the ``pion-proton charge radius problem'' in lattice QCD by introducing the use of chiral perturbation theory in extrapolating to physical quark masses.

• Implemented the first ab initio investigation of octet and decuplet baryon structure and their electromagnetic transitions. This work was first to emphasize the environment sensitivity of individual quark sector contributions to form factors which are now finally being resolved at Jefferson Laboratory in the USA.

• Established a formalism for isolating and extracting multipole form factors of octet and decuplet baryons, and their electromagnetic transitions.