E-Book, Englisch, 522 Seiten
Reihe: Series in High Energy Physics, Cosmology and Gravitation
Blagojevic Gravitation and Gauge Symmetries
Erscheinungsjahr 2010
ISBN: 978-1-4200-3426-4
Verlag: Taylor & Francis
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)
E-Book, Englisch, 522 Seiten
Reihe: Series in High Energy Physics, Cosmology and Gravitation
ISBN: 978-1-4200-3426-4
Verlag: Taylor & Francis
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)
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.
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
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
