Gravitation and gauge symmetries

著者

書誌事項

Gravitation and gauge symmetries

Milutin Blagojević

（Studies in high energy physics, cosmology and gravitation）

Institute of Physics Publishing, c2002

大学図書館所蔵 件 / 全20件

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注記

Includes bibliographical references (p. 489-512) and index

内容説明・目次

内容説明

In the course of the development of electromagnetic, weak and strong interactions, the concept of (internal) gauge invariance grew up and established itself as an unavoidable dynamical principle in particle physics. It is less known that the principle of equivalence, and the basic dynamical properties of the gravitational interaction can also be expressed as a (spacetime) gauge symmetry. Gravitation and Gauge Symmetries sheds light on the connection between the intrinsic structure of gravity and the principle of gauge invariance, which may lead to a consistent unified field theory. The first part of the book gives a systematic account of the structure of gravity as a theory based on spacetime gauge symmetries. Some basic properties of space, time, and gravity are reviewed in the first, introductory chapter. The next chapter deals with elements of global Poincare and conformal symmetries, which are necessary for the exposition of their localizations; the structure of the corresponding gauge theories of gravity is explored in chapters 3 and 4. Then, in chapters 5 and 6, we present the basic features of the constrained Hamiltonian of Poincare gauge theory, discuss the relation between gauge symmetries and conservation laws, and introduce the concept of gravitational energy and other conserved quantities. The second part of the book explores the most promising attempts to build a unified field theory containing gravity, on the basis of the gauge principle. The author presents the possibility to constrict the theory of gravity as a nonlinear field theory in flat spacetime. The final chapters yield an exposition of the ideas of supersymmetry and supergravity, Kaluza-Klein theory, and string theory. Gravitation and Gauge Symmetries will be of interest to postgraduate students and researchers in gravitation, high energy physics and mathematical physics.

目次

Preface Space, Time and Gravitation Relativity of space and time Gravitation and geometry Spacetime Symmetries Poincare symmetry Conformal symmetry Poincare Gauge Theory Poincare gauge invariance Geometric interpretation Gravitational dynamics Weyl Gauge Theory Weyl gauge invariance Weyl-Cartan geometry Dynamics Hamiltonian Dynamics Constrained Hamiltonian dynamics The gravitational Hamiltonian Specific models Symmetries and Conservation Laws Gauge symmetries Conservation laws-EC theory Conservation laws-the teleparallel theory Chern-Simons gauge theory in D = 3 Gravity in Flat Spacetime Theories of long range forces Attempts to build a realistic theory Nonlinear Effects in Gravity Nonlinear effects in Yang-Mills theory Scalar theory of gravity Tensor theory of gravity The first order formalism Supersymmetry and Supergravity Supersymmetry Representations of supersymmetry Supergravity Kaluza-Klein Theory Basic ideas Five-dimensional KK theory Higher-dimensional KK theory String Theory Classical bosonic strings Oscillator formalism First quantization Covariant field theory General remarks Appendices A: Local internal symmetries B: Differentiable manifolds C: De Sitter gauge theory D: The scalar-tensor theory E: Ashtekar's formulation of GR F: Constraint algebra and gauge symmetries G: Covariance, spin and interaction of massless particles H: Lorentz group and spinors I: Poincare group and massless particles J: Dirac matrices and spinors K: Symmetry groups and manifolds L: Chern-Simons gravity in three dimensions M: Fourier expansion Bibliography Notations and Conventions Index

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