Geometrodynamics of Gauge Fields
eBook - PDF

Geometrodynamics of Gauge Fields

On the Geometry of Yang-Mills and Gravitational Gauge Theories

  1. 246 pages
  2. English
  3. PDF
  4. Available on iOS & Android
eBook - PDF

Geometrodynamics of Gauge Fields

On the Geometry of Yang-Mills and Gravitational Gauge Theories

About this book

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Yes, you can access Geometrodynamics of Gauge Fields by Eckehard W. Mielke in PDF and/or ePUB format, as well as other popular books in Mathematics & Physics. We have over one million books available in our catalogue for you to explore.

Information

Publisher
De Gruyter
Year
1987
eBook ISBN
9783112766071
Edition
0
Topic
Mathematics
Subtopic
Physics
Index
Mathematics

Table of contents

  1. PREFACE
  2. CONTENTS
  3. I. INTRODUCTION AND HISTORICAL BACKGROUND
  4. II GEOMETRY OF GAUGE FIELDS
  5. 1. Differentiable manifolds
  6. 2. Tensor fields and exterior forms
  7. 3. Fibre bundles as an enlarged geometrical arena
  8. 4. Associated bundles and physical fields
  9. 5. Connection and covariant derivative
  10. 6. Curvature
  11. 7. Gauge transformations
  12. 8. Digression: The Lagrangian formalism
  13. 9. G-equivalence principle
  14. 10. Yang-Mills fields
  15. 11. Topological invariants
  16. 12. Instantons
  17. 13. Higgs fields
  18. 14. Translation of terminologies
  19. III. GRAVITATION AS A GAUGE THEORY
  20. 1 . Affine frames
  21. 2. Affine gauge theory with torsion
  22. 3. Geometrical structure of the Poincaré gauge theory
  23. 4. Gravitational field equations and conservation laws
  24. 5. Quadratic Poincaré gauge theories
  25. 6. Einstein-Cartan theory
  26. 7. Reduction of the general field equations by means of duality rotations
  27. 8. Double dual subspaces of SKY-gravity
  28. 9. Exact solutions and gravitational instantons
  29. 10. Topological invariants on manifolds
  30. 11. Quantum meaning of gravitational instantons
  31. IV. NONLINEAR SPINOR THEORIES
  32. 1. Global spinor fields
  33. 2. Nonlinear Heisenberg-Pauli-Weyl spinor equation
  34. 3. Soliton-type solutions of the nonlinear Dirac equation
  35. 4. Comments on the quantum-theoretical meaning of nonlinear, classical field theories
  36. V. GEOMETRODYNAMICS AND ITS EXTENSIONS
  37. 1. Rainich geometrization of electromagnetic fields
  38. 2. Non-Abelian Kaluza-Klein theories
  39. 3. Fermion spectrum from higher-dimensional models
  40. 4. Kerr-Newman solution
  41. 5. Tensor dominance model of strong interaction
  42. 6. Einstein-Cartan theory with internal degrees of freedom
  43. VI. PROSPECT: IS QUARK CONFINEMENT FOUNDED ON THE GEOMETRICAL STRUCTURE OF SPACE-TIME?
  44. APPENDIX A: NOTATIONS AND MATHEMATICAL TERMS
  45. APPENDIX B: CALCULUS OF EXTERIOR DIFFERENTIAL FORMS
  46. APPENDIX C: LIE GROUPS
  47. REFERENCES