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Book Categories |
Preface | ||
Introduction | 1 | |
Preliminary | ||
0.1 | Bundles | 7 |
0.2 | Jet Manifolds | 20 |
0.3 | General Connections | 24 |
1 | Classical Gauge Theory | |
1.1 | Geometric Theory of Classical Fields | 30 |
1.2 | Gauge Transformations | 38 |
1.3 | Multimomentum Hamiltonian Formalism | 47 |
1.4 | Geometry of Spontaneous Symmetry Breaking | 58 |
2 | Gauge Theory of Classical Gravity | |
2.1 | Dirac Fermion Fields | 70 |
2.2 | Tetrad Gravitational Fields | 73 |
2.3 | Space-Time Structure | 79 |
Appendix. Space-Time Singularities | 86 | |
3 | The Higgs Feature of Classical Gravity | |
3.1 | Fermion-Gravitation Complex | 90 |
3.2 | Deviations of a Gravitational Field | 99 |
4 | Gauge Theory of the Translation Group | |
4.1 | Gauge Models of the Poincare Group | 105 |
4.2 | Deformed Manifolds | 109 |
4.3 | Gauge Theory of the Fifth Force | 112 |
Bibliography | 117 | |
Index | 120 |
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