NATURAL AND GAUGE NATURAL FORMALISM FOR CLASSICAL FIELD THEORIE A GEOMETRIC PERSPECTIVE INCLUDING SPINORS AND GAUGE THEORIES

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Natural And Gauge Natural Formalism For Classical Field Theorie

Author : L. Fatibene
ISBN : 9789401723848
Genre : Science
File Size : 31.99 MB
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In this book the authors develop and work out applications to gravity and gauge theories and their interactions with generic matter fields, including spinors in full detail. Spinor fields in particular appear to be the prototypes of truly gauge-natural objects, which are not purely gauge nor purely natural, so that they are a paradigmatic example of the intriguing relations between gauge natural geometry and physical phenomenology. In particular, the gauge natural framework for spinors is developed in this book in full detail, and it is shown to be fundamentally related to the interaction between fermions and dynamical tetrad gravity.
Category: Science

Advanced Classical Field Theory

Author : G. Giachetta
ISBN : 9789812838964
Genre : Science
File Size : 32.39 MB
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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.
Category: Science

Metric Theories Of Gravity

Author : Alexander N. Petrov
ISBN : 9783110351781
Genre : Science
File Size : 36.1 MB
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By focusing on the mostly used variational methods, this monograph aspires to give a unified description and comparison of various ways of constructing conserved quantities for perturbations and to study symmetries in general relativity and modified theories of gravity. The main emphasis lies on the field-theoretical covariant formulation of perturbations, the canonical Noether approach and the Belinfante procedure of symmetrisation. The general formalism is applied to build the gauge-invariant cosmological perturbation theory, conserved currents and superpotentials to describe physically important solutions of gravity theories. Meticulous attention is given to the construction of conserved quantities in asymptotically-flat spacetimes as well as in asymptotically constant curvature spacetimes such as the Anti-de Sitter space. Significant part of the book can be used in graduate courses on conservation laws in general relativity. THE SERIES: DE GRUYTER STUDIES IN MATHEMATICAL PHYSICS The series is devoted to the publication of monographs and high-level texts in mathematical physics. They cover topics and methods in fields of current interest, with an emphasis on didactical presentation. The series will enable readers to understand, apply, and develop further, with sufficient rigor, mathematical methods to given problems in physics. The works in this series are aimed at advanced students and researchers in mathematical and theoretical physics. They can also serve as secondary reading for lectures and seminars at advanced levels.
Category: Science

General Relativity And Gravitational Physics

Author : Società italiana di relatività generale e fisica della gravitazione
ISBN : 0735402361
Genre : Science
File Size : 57.3 MB
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All papers were peer reviewed. Research advances in gravitation and general relativity are discussed, ranging from classical to quantum theories of gravity. Relativistic theories have become the basic model for new research fields encompassing importantexperiments and observations which represent a frontier on which Einstein's theory of gravity can be tested. This will provide some new insight into the field of gravitational physics. The proceedings will be a valuable source for advanced graduate students and research workers at all levels.
Category: Science

Recent Developments In General Relativity Genoa 2000

Author : Roberto Cianci
ISBN : 8847001625
Genre : Science
File Size : 73.11 MB
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A survey of the most recent developments in general relativity and in the theory of the unification of Fundamental Interactions is presented in this book. The theoretical results, the cosmological and astrophysical aspects, the experimental and observational programs are shown in 26 general talks by renowned scientists active in this field.
Category: Science

Connections In Classical And Quantum Field Theory

Author : L. Mangiarotti
ISBN : 9812813748
Genre : Connections
File Size : 39.51 MB
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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.
Category: Connections

Mathematical Reviews

Author :
ISBN : UOM:39015082440887
Genre : Mathematics
File Size : 88.16 MB
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Category: Mathematics

New Dictionary Of Scientific Biography

Author : Noretta Koertge
ISBN : UCSC:32106018867967
Genre : Science
File Size : 32.18 MB
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Also available online as part of the Gale Virtual Reference Library under the title Complete dictionary of scientific biography.
Category: Science