Contemporary quantum field theory is mainly developed as quantization of classical fields. Therefore, classical field theory and its BRST extension is the necessary step towards quantum field theory. This book aims to provide a complete mathematical foundation of Lagrangian classical field theory and its BRST extension for the purpose of quantization. Based on the standard geometric formulation of theory of nonlinear differential operators, Lagrangian field theory is treated in a very general setting. Reducible degenerate Lagrangian theories of even and odd fields on an arbitrary smooth manifold are considered. The second Noether theorems generalized to these theories and formulated in the homology terms provide the strict mathematical formulation of BRST extended classical field theory. The most physically relevant field theories OCo gauge theory on principal bundles, gravitation theory on natural bundles, theory of spinor fields and topological field theory OCo are presented in a complete way. This book is designed for theoreticians and mathematical physicists specializing in field theory. The authors have tried throughout to provide the necessary mathematical background, thus making the exposition self-contained.
This book incorporates 3 modern aspects of mathematical physics: the jet methods in differential geometry, Lagrangian formalism on jet manifolds and the multimomentum approach to Hamiltonian formalism. Several contemporary field models are investigated in detail.This is not a book on differential geometry. However, modern concepts of differential geometry such as jet manifolds and connections are used throughout the book. Quadratic Lagrangians and Hamiltonians are studied at the general level including a treatment of Hamiltonian formalism on composite fiber manifolds. The book presents new geometric methods and results in field theory.
Geometrical notions and methods play an important role in both classical and quantum field theory, and a connection is a deep structure which apparently underlies the gauge-theoretical models. This collection of basic mathematical facts about various types of connections provides a detailed description of the relevant physical applications. It discusses the modern issues concerning the gauge theories of fundamental interactions. This text presents several levels of complexity, from the elementary to the advanced, and provides a considerable number of exercises. The authors have tried to give all the necessary mathematical background, thus making the book self-contained. This book should be useful to graduate students, physicists and mathematicians who are interested in the issue of deep interrelations between theoretical physics and geometry.
This book presents in a unified way modern geometric methods in analytical mechanics based on the application of fibre bundles, jet manifold formalism and the related concept of connection. Non-relativistic mechanics is seen as a particular field theory over a one-dimensional base. In fact, the concept of connection is the major link throughout the book. In the gauge scheme of mechanics, connections appear as reference frames, dynamic equations, and in Lagrangian and Hamiltonian formalisms. Non-inertial forces, energy conservation laws and other phenomena related to reference frames are analyzed; that leads us to observable physics. The gauge formulation of classical mechanics is extended to quantum mechanics under different reference frames. Special topics on geometric BRST mechanics, relativistic mechanics and others, together with many examples, are also dealt with.
In the last decade, the development of new ideas in quantum theory, including geometric and deformation quantization, the non-Abelian Berry''s geometric factor, super- and BRST symmetries, non-commutativity, has called into play the geometric techniques based on the deep interplay between algebra, differential geometry and topology. The book aims at being a guide to advanced differential geometric and topological methods in quantum mechanics. Their main peculiarity lies in the fact that geometry in quantum theory speaks mainly the algebraic language of rings, modules, sheaves and categories. Geometry is by no means the primary scope of the book, but it underlies many ideas in modern quantum physics and provides the most advanced schemes of quantization.
Contemporary quantum field theory is mainly developed as quantization of classical fields. Therefore, classical field theory and its BRST extension is the necessary step towards quantum field theory. This book aims to provide a complete mathematical foundation of Lagrangian classical field theory and its BRST extension for the purpose of quantization. Based on the standard geometric formulation of theory of nonlinear differential operators, Lagrangian field theory is treated in a very general setting. Reducible degenerate Lagrangian theories of even and odd fields on an arbitrary smooth manifold are considered. The second Noether theorems generalized to these theories and formulated in the homology terms provide the strict mathematical formulation of BRST extended classical field theory. The most physically relevant field theories ? gauge theory on principal bundles, gravitation theory on natural bundles, theory of spinor fields and topological field theory ? are presented in a complete way.This book is designed for theoreticians and mathematical physicists specializing in field theory. The authors have tried throughout to provide the necessary mathematical background, thus making the exposition self-contained.
This book incorporates 3 modern aspects of mathematical physics: the jet methods in differential geometry, Lagrangian formalism on jet manifolds and the multimomentum approach to Hamiltonian formalism. Several contemporary field models are investigated in detail.This is not a book on differential geometry. However, modern concepts of differential geometry such as jet manifolds and connections are used throughout the book. Quadratic Lagrangians and Hamiltonians are studied at the general level including a treatment of Hamiltonian formalism on composite fiber manifolds. The book presents new geometric methods and results in field theory.
This book presents in a unified way modern geometric methods in analytical mechanics based on the application of fibre bundles, jet manifold formalism and the related concept of connection. Non-relativistic mechanics is seen as a particular field theory over a one-dimensional base. In fact, the concept of connection is the major link throughout the book. In the gauge scheme of mechanics, connections appear as reference frames, dynamic equations, and in Lagrangian and Hamiltonian formalisms. Non-inertial forces, energy conservation laws and other phenomena related to reference frames are analyzed; that leads us to observable physics. The gauge formulation of classical mechanics is extended to quantum mechanics under different reference frames. Special topics on geometric BRST mechanics, relativistic mechanics and others, together with many examples, are also dealt with.
In the last decade, the development of new ideas in quantum theory, including geometric and deformation quantization, the non-Abelian Berry''s geometric factor, super- and BRST symmetries, non-commutativity, has called into play the geometric techniques based on the deep interplay between algebra, differential geometry and topology. The book aims at being a guide to advanced differential geometric and topological methods in quantum mechanics. Their main peculiarity lies in the fact that geometry in quantum theory speaks mainly the algebraic language of rings, modules, sheaves and categories. Geometry is by no means the primary scope of the book, but it underlies many ideas in modern quantum physics and provides the most advanced schemes of quantization.
Examines the cultural contexts of music in early-modern Milan. This book describes the buildings that served as performance spaces in Milan, analyses the power structures in the city and discusses the devotional rites of the Milanese.
Geometrical notions and methods play an important role in both classical and quantum field theory, and a connection is a deep structure which apparently underlies the gauge-theoretical models in field theory and mechanics. This book is an encyclopaedia of modern geometric methods in theoretical physics. It collects together the basic mathematical facts about various types of connections, and provides a detailed exposition of relevant physical applications. It discusses the modern issues concerning the gauge theories of fundamental fields. The authors have tried to give all the necessary mathematical background, thus making the book self-contained.This book should be useful to graduate students, physicists and mathematicians who are interested in the issue of deep interrelations between theoretical physics and geometry.
The traditional approach to kidney disorders is changing. In the field of diagnostics much innovative research is ongoing: from the “old” embryology, revisited and re-interpreted with new eyes in the light of immunohistochemistry, up to metabolomics the latest “daughter” of genomics, the most promising and remarkable of the “omics” disciplines. Between these two extremes we find a universe of novelties, ranging from the most recent urinary biomarkers to the questions of nutrition and growth, as well as those of ethics, which the new populations of extremely low birth weight (ELBW) neonates present to neonatologists and nephrologists. The studies on perinatal programming expands the temporal horizon of precocious reduction in the number of nephrons, both congenital and/or acquired, thus dilating and multiplying the immediate and long-term negative effects. Neonatal asphyxia, obstructive uropathies, nephrotoxic drugs administered to the mother and/or to the neonate, malnutrition, underfeeding, or overfeeding make it necessary to apply all possible preventive measures to ensure the well-being of the kidney. Because of the kidney’s holistic dimension, themethodical and rigorous study of neonatal nephrology has advanced all aspects of health through the life cycle. This volume is an update state of the art of the latest discoveries in neonatal and pediatric nephrology. These advances will have an even greater impact when the same children reach adulthood, and the ultimate consequences of perinatal care are unmasked.
Chemical Mutagens: Environmental Effects on Biological Systems brings together relevant facts about synthetic and naturally occurring mutagenic chemicals. Organized into two parts, this book begins with a simple discussion on the modern concepts of the gene at the molecular and biochemical levels. The first part also looks into the different types of mutations and how they form, as well as the biological systems used for their detection. The second part deals with the individual chemical mutagens of environmental significance, including their manufacture, occurrence, method of detection, degradation, and metabolism. It also discusses the types of mutation chemical mutagens induce in the various test systems that have been utilized. This book will serve as single source material for its utility to students, investigators, and those involved with public health.
Offering unparalleled coverage of infectious diseases in children and adolescents, Feigin & Cherry’s Textbook of Pediatric Infectious Diseases 8th Edition, continues to provide the information you need on epidemiology, public health, preventive medicine, clinical manifestations, diagnosis, treatment, and much more. This extensively revised edition by Drs. James Cherry, Gail J. Demmler-Harrison, Sheldon L. Kaplan, William J. Steinbach, and Peter J. Hotez, offers a brand-new full-color design, new color images, new guidelines, and new content, reflecting today’s more aggressive infectious and resistant strains as well as emerging and re-emerging diseases Discusses infectious diseases according to organ system, as well as individually by microorganisms, placing emphasis on the clinical manifestations that may be related to the organism causing the disease. Provides detailed information regarding the best means to establish a diagnosis, explicit recommendations for therapy, and the most appropriate uses of diagnostic imaging. Features expanded information on infections in the compromised host; immunomodulating agents and their potential use in the treatment of infectious diseases; and Ebola virus. Contains hundreds of new color images throughout, as well as new guidelines, new resistance epidemiology, and new Global Health Milestones. Includes new chapters on Zika virus and Guillain-Barré syndrome. Expert ConsultTM eBook version included with purchase. This enhanced eBook experience allows you to search all of the text, figures, and references from the book on a variety of devices.
Feigin and Cherry's Textbook of Pediatric Infectious Diseases helps you put the very latest knowledge to work for your young patients with unparalleled coverage of everything from epidemiology, public health, and preventive medicine through clinical manifestations, diagnosis, treatment, and much more. Ideal for all physicians, whether in an office or hospital setting, Feigin and Cherry’s equips you with trusted answers to your most challenging clinical infectious disease questions. Meet your most difficult clinical challenges in pediatric infectious disease, including today’s more aggressive infectious and resistant strains as well as emerging and re-emerging diseases, with unmatched, comprehensive coverage of immunology, epidemiology, public health, preventive medicine, clinical manifestations, diagnosis, treatment, and much more. Find the answers you need quickly thanks to an organization both by organ system and by etiologic microorganism, allowing you to easily approach any topic from either direction.
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