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## Details

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 is thus not surprising that current research in fundamental physics is to a great degree motivated and inspired by considerations of symmetry.
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## Reviews

*Editorial reviews*

Publisher Synopsis

From the book reviews:"The material is very well organized, clean and easy to find. And contains a lot of useful content. ... this is an excellent book that can become a formidable companion for a student or for a researcher. There is a lot of stuff here, explained in a very clean way. Very good job, Prof. Sundermeyer!" (Giuseppe Nardelli, Mathematical Reviews, October, 2014) Read more...

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