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Symmetries in fundamental physics

Author: Kurt Sundermeyer
Publisher: Cham ; New York : Springer, [2014] ©2014
Series: Fundamental theories of physics, v. 176.
Edition/Format:   Print book : English : Second editionView all editions and formats
Summary:
Over the course of the last century it has become clear that both elementary particle physics and relativity theories are based on the notion of symmetries. These symmetries become manifest in that the "laws of nature" are invariant under spacetime transformations and/or gauge transformations. The consequences of these symmetries were analyzed as early as in 1918 by Emmy Noether on the level of action functionals.  Read more...
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Document Type: Book
All Authors / Contributors: Kurt Sundermeyer
ISBN: 3319065807 9783319065809
OCLC Number: 889646615
Description: xxviii, 788 pages : illustrations ; 24 cm.
Contents: Preface --
Notation --
Introduction --
Symmetry: Argument, Principle, and Leitmotif --
Operations and Invariants --
"Symmetries" in "Fundamental Physics" --
The Scope of Symmetries --
Bibliographical Notes --
Classical Mechanics --
Newtonian and Analytical Mechanics --
Symmetries and Conservation Laws --
Galilei Group --
Electrodynamics and Special Relativity --
Electrodynamics à la Maxwell --
Special Relativity --
Noether Theorems --
Poincaré Transformations --
Generalizations of Poincaré Symmetry --
On the Validity of Special Relativity --
Quantum Mechanics --
Principles of Quantum Mechanics --
Symmetry Transformations in Quantum Mechanics --
Quantum Physics and Group Representation --
Relativistic Field Theory --
Representations of the Poincaré Group --
Symmetry and Quantum Field Theory --
Actions --
Spontaneous Symmetry Breaking --
Discrete Symmetries --
Effective field theories --
Particle Physics --
Particles and Interactions --
Strong Interactions --
Weak and Electromagnetic Interaction --
Paralipomena on the Standard Model --
General Relativity and Gravitation --
Introductory Remarks --
Equivalence Principle --
Riemann-Cartan Geometry --
Physics in Curved Spacetime --
Geometrodynamics --
Modifications and Extensions of/to General Relativity --
Unified Field Theories --
Grand Unified Theories --
Kaluza-Klein Theory --
Supersymmetry --
Further Speculations --
Conclusion --
Symmetries: The Road to Reality --
Are Symmetries a Principle of Nature? --
Physics Beyond Symmetries --
Appendices --
A Group Theory --
B Spinors, Z2-gradings, and Supergeometry --
C Symmetries and Constrained Dynamics --
D Symmetries in Path-Integral and BRST Quantization --
E Differential Geometry --
F Symmetries in Terms of Differential Forms --
Bibliography.
Series Title: Fundamental theories of physics, v. 176.
Responsibility: Kurt Sundermeyer.

Abstract:

Over the course of the last century it has become clear that both elementary particle physics and relativity theories are based on the notion of symmetries. Given this pivotal role of symmetries it  Read more...

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