Study on quantum-mechanical dynamics of gauge theories

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I completed the computation of the tenth-order QED contribution to the anomalous magnetic dipole moment (g－2) of the electron, and presented the most precise value for the fine structure constant. As for the muon g－2, by improving the numerical precision of the eighth-order QED contribution, and by completing the computation of the tenth-order contribution, the QED contribution in the muon g － 2 wasdetermined with the uncertainty less than that to be achieved by the next-generationexperiments. By simulating QED on the lattice, the electromagnetic correction in the masses of mesons was computed, and as a consequence, the masses of up, down and strange quarks can be determined, which are at present recognized as the standards. I carried out the simulation based on the lattice gauge theory to search the gauge system which may be responsible to the spontaneous breakdown of electroweak symmetry. I pointed out that the SU(3) gauge theory with ten-flavors of massless Dirac fermions is one of such candidates.