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New advanced materials are being rapidly developed, thanks to the progress of science. These are making our daily life more convenient. The Institute for Materials Research (IMR) at Tohoku University has greatly contributed for to the creation and development of various advanced materials and the progress in the ?eld of material science for almost a century. For example, our early research achievements on the physical metallurgy of iron carbon alloys led to the innovation of technology for making high-quality steels, which has greatly contributed to the advancement of the steel and related...

New advanced materials are being rapidly developed, thanks to the progress of science. These are making our daily life more convenient. The Institute for Materials Research (IMR) at Tohoku University has greatly contributed for to the creation and development of various advanced materials and the progress in the ?eld of material science for almost a century. For example, our early research achievements on the physical metallurgy of iron carbon alloys led to the innovation of technology for making high-quality steels, which has greatly contributed to the advancement of the steel and related...

The Feynman path integrals are becoming increasingly important in the applications of quantum mechanics and field theory. The path integral formulation of quantum anomalies, i.e. the quantum breaking of certain symmetries, can now cover all the known quantum anomalies in a coherent manner. In this book the authors provide an introduction to the path integral method in quantum field theory and its applications to the analyses of quantum anomalies. No previous knowledge of field theory beyond advanced undergraduate quantum mechanics is assumed. The book provides the first coherent introductory...

The Feynman path integrals are becoming increasingly important in the applications of quantum mechanics and field theory. The path integral formulation of quantum anomalies, (i.e.: the quantum breaking of certain symmetries), can now cover all the known quantum anomalies in a coherent manner. In this book the authors provide an introduction to the path integral method in quantum field theory and its applications to the analysis of quantum anomalies. No previous knowledge of field theory beyond the advanced undergraduate quantum mechanics is assumed. The book provides the first coherent...