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Quantum Field Theory III: Gauge Theory

Eberhard Zeidler ()
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Eberhard Zeidler: Max Planck Institute, for Mathematics in the Sciences

in Springer Books from Springer

Date: 2011
ISBN: 978-3-642-22421-8
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Chapters in this book:

Prologue
Eberhard Zeidler
The Euclidean Space E 3 (Hilbert Space and Lie Algebra Structure)
Eberhard Zeidler
Algebras and Duality (Tensor Algebra, Grassmann Algebra, Clifford Algebra, Lie Algebra)
Eberhard Zeidler
Representations of Symmetries in Mathematics and Physics, and Elementary Particles
Eberhard Zeidler
The Euclidean Manifold $\mathbb{E}^{3}$
Eberhard Zeidler
The Lie Group U(1) as a Paradigm in Harmonic Analysis and Geometry
Eberhard Zeidler
Infinitesimal Rotations and Constraints in Physics
Eberhard Zeidler
Rotations, Quaternions, the Universal Covering Group, and the Electron Spin
Eberhard Zeidler
Changing Observers – A Glance at Invariant Theory Based on the Principle of the Correct Index Picture
Eberhard Zeidler
Applications of Invariant Theory to the Rotation Group
Eberhard Zeidler
Temperature Fields on the Euclidean Manifold $\mathbb{E}^{3}$
Eberhard Zeidler
Velocity Vector Fields on the Euclidean Manifold $\mathbb{E}^{3}$
Eberhard Zeidler
Covector Fields and Cartan’s Exterior Differential – the Beauty of Differential Forms
Eberhard Zeidler
The Commutative Weyl U(1)-Gauge Theory and the Electromagnetic Field
Eberhard Zeidler
Symmetry Breaking
Eberhard Zeidler
The Noncommutative Yang–Mills SU(N)-Gauge Theory
Eberhard Zeidler
Cocycles and Observers
Eberhard Zeidler
The Axiomatic Geometric Approach to Bundles
Eberhard Zeidler
Inertial Systems and Einstein’s Principle of Special Relativity
Eberhard Zeidler
The Relativistic Invariance of the Maxwell Equations
Eberhard Zeidler
The Relativistic Invariance of the Dirac Equation and the Electron Spin
Eberhard Zeidler
The Language of Exact Sequences
Eberhard Zeidler
Electrical Circuits as a Paradigm in Homology and Cohomology
Eberhard Zeidler
The Electromagnetic Field and the de Rham Cohomology
Eberhard Zeidler

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DOI: 10.1007/978-3-642-22421-8

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