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Gravitation and Gauge Symmetries
     

Gravitation and Gauge Symmetries

by M Blagojevic
 

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ISBN-10: 0750307676

ISBN-13: 9780750307673

Pub. Date: 10/28/2001

Publisher: Taylor & Francis

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

Overview

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 Poincaré 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 Poincaré 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.

Product Details

ISBN-13:
9780750307673
Publisher:
Taylor & Francis
Publication date:
10/28/2001
Series:
Series in High Energy Physics, Cosmology and Gravitation Series
Edition description:
New Edition
Pages:
522
Product dimensions:
6.10(w) x 9.10(h) x 1.10(d)

Table of Contents

Preface

Space, Time and Gravitation
Relativity of space and time
Gravitation and geometry

Spacetime Symmetries
Poincaré symmetry
Conformal symmetry

Poincaré Gauge Theory
Poincaré 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: Poincaré 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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