1995 Fiscal Year Final Research Report Summary

Topological Aspects of Quantum Field Theories

Research Project

Project/Area Number	06640385
Research Category	Grant-in-Aid for General Scientific Research (C)
Allocation Type	Single-year Grants
Research Field	素粒子・核・宇宙線
Research Institution	Nagoya University
Principal Investigator	KITAKADO Shinsaku Nagoya University, Department of Physics, Professor, 理学部, 教授 (20027345)
Project Period (FY)	1994 – 1995
Keywords	Quantum Mechanics on Manifolds / Gauge Structure / BPST Instantons / Field Theories / Chiral Solitons / 1 / Nc Expansion
Research Abstract	We have studied "Topologocal aspects of quantum field theories" from two different approaches : One is the study of quantum mechanics on the topologically non-trivial manifolds and another is the study of the topologically non-trivial chiral solitons in quantum field theory. In the study of quantum mechanics on manifolds we have shown that the gauge structure emerging on the 2n-dimensional sphere is that of the generalized BPST instantons. This shows that the self dual solutions of the non-abelian gauge field theory can be obtained by studying quantum mechanics on the apropriate manifold. In the study of chiral solitons (baryons) in QCD we have obtained in the 1/N_C expansion scheme, an explicit N_C dependences of the F/D ratios for both spin-flip and spin-nonflip baryon vertices, which enables us to extract various properties of baryons for N_C=3.