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 treatment of the path integral formulation of chiral and Weyl anomalies, with applications to gauge theory in two and four dimensions, conformal field theory and string theory. Explicit and elementary path integral calculations of most of the quantum anomalies covered are given. The conceptual basis of the path integral bosonization in two-dimensional theory, which may have applications to condensed matter theory, for example, is clarified. The book also covers the recent interesting developments in the treatment of fermions and chiral anomalies in lattice gauge theory.
Crystal Growth of Si Ingots for Solar Cells Using Cast Furnaces is the first book written to both comprehensively describe these concepts and technologies and compare the strengths and weaknesses of various techniques. Readers will learn about the basic growth and characterization of Si crystals, including sections on the history of cast methods for Si ingots for solar cells. Methods discussed include the dendrite cast method, as well as other significant technologies, including the high-performance (HP) cast and mono-like cast methods. These concepts, growth mechanisms, growth technologies, and the problems that still need to be solved are all included in this comprehensive volume. - Covers the concept of crystal growth, providing an understanding of each growth method - Discusses the quality of Si ingot, mainly from the viewpoint of crystal defects and their control - Reviews fundamental characterization concepts to discern the quality of ingots and wafers - Discusses concepts and technologies to establish a low-temperature region in a Si melt using the NOC method in order to obtain a uniform and large Si single ingot with low stress
This book presents the experience of coastal and port engineering development, as well as coastal environmental problems, in Asian and Pacific countries. It also provides information and promotes technological progress and activities, international technical transfer and cooperation, and opportunities for engineers and researchers to maintain and improve scientific and technical competence. The subject areas are not limited to the classical topics of coastal engineering but are extended to related fields, including environments, marine ecology, coastal oceanography, fishery, etc.
This book focuses on the significant role of West African consumers in the development of the global economy. It explores their demand for Indian cotton textiles and how their consumption shaped patterns of global trade, influencing economies and businesses from Western Europe to South Asia. In turn, the book examines how cotton textile production in southern India responded to this demand. Through this perspective of a south-south economic history, the study foregrounds African agency and considers the lasting impact on production and exports in South Asia. It also considers how European commercial and imperial expansion provided a complex web of networks, linking West African consumers and Indian weavers. Crucially, it demonstrates the emergence of the modern global economy.
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 fieldtheory beyond the advanced undergraduate quantum mechanics is assumed. The book provides the first coherent introductory treatment of the path integral formulation of chiral and Weyl anomalies, with applications to gauge theory in two and four dimensions, conformal field theory and string theory. Explicitand elementary path integral calculations of most of the quantum anomalies covered are given. The conceptual basis of the path integral bosonization in two-dimensional theory, which may have applications to condensed matter theory, for example, is clarified. The book also covers the recent interesting developments in the treatment of fermions and chiral anomalies in lattice gauge theory.
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