The Resource Geometrodynamics of Gauge Fields : On the Geometry of Yang-Mills and Gravitational Gauge Theories, by Eckehard W. Mielke, (electronic resource)

Geometrodynamics of Gauge Fields : On the Geometry of Yang-Mills and Gravitational Gauge Theories, by Eckehard W. Mielke, (electronic resource)

Label
Geometrodynamics of Gauge Fields : On the Geometry of Yang-Mills and Gravitational Gauge Theories
Title
Geometrodynamics of Gauge Fields
Title remainder
On the Geometry of Yang-Mills and Gravitational Gauge Theories
Statement of responsibility
by Eckehard W. Mielke
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
This monograph aims to provide a unified, geometrical foundation of gauge theories of elementary particle physics. The underlying geometrical structure is unfolded in a coordinate-free manner via the modern mathematical notions of fibre bundles and exterior forms. Topics such as the dynamics of Yang-Mills theories, instanton solutions and topological invariants are included. By transferring these concepts to local space-time symmetries, generalizations of Einstein's theory of gravity arise in a Riemann-Cartan space with curvature and torsion. It provides the framework in which the (broken) Poincaré gauge theory, the Rainich geometrization of the Einstein-Maxwell system, and higher-dimensional, non-abelian Kaluza-Klein theories are developed. Since the discovery of the Higgs boson, concepts of spontaneous symmetry breaking in gravity have come again into focus, and, in this revised edition, these will be exposed in geometric terms. Quantizing gravity remains an open issue: formulating it as a de Sitter type gauge theory in the spirit of Yang-Mills, some new progress in its topological form is presented. After symmetry breaking, Einstein’s standard general relativity with cosmological constant emerges as a classical background. The geometrical structure of BRST quantization with non-propagating topological ghosts is developed in some detail
Member of
http://library.link/vocab/creatorName
Mielke, Eckehard W
Image bit depth
0
LC call number
  • QC178
  • QC173.5-173.65
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Mathematical Physics Studies,
http://library.link/vocab/subjectName
  • Physics
  • Mathematical physics
  • Gravitation
  • Particles (Nuclear physics)
  • Quantum field theory
  • Physics
  • Classical and Quantum Gravitation, Relativity Theory
  • Mathematical Physics
  • Elementary Particles, Quantum Field Theory
Label
Geometrodynamics of Gauge Fields : On the Geometry of Yang-Mills and Gravitational Gauge Theories, by Eckehard W. Mielke, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Preface -- 1 Historical background -- 2 Geometry of gauge fields -- 3 Maxwell and Yang-Mills theory -- 4 Gravitation as a gauge theory -- 5 Einstein-Cartan theory -- 6 Teleparallelism -- 7 Yang’s theory of gravity -- 8 BRST quantization of gravity -- 9 Gravitational instantons -- 10 Three-dimensional gravity -- 11 Spinor bundles -- 12 Chiral anomalies -- 13 Topological SL(5;R) gauge invariant action -- 14 Geometrodynamics and its extensions -- 15 Color Geometrodynamics -- 16 Geometrodynamical model of quark confinement?- Appendix A Notation and mathematical terms -- Appendix B Calculus of exterior forms -- Appendix C Lie groups
Dimensions
unknown
Edition
2nd ed. 2017.
Extent
XVII, 373 p. 18 illus., 8 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319297347
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-29734-7
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-29734-7
Label
Geometrodynamics of Gauge Fields : On the Geometry of Yang-Mills and Gravitational Gauge Theories, by Eckehard W. Mielke, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
Preface -- 1 Historical background -- 2 Geometry of gauge fields -- 3 Maxwell and Yang-Mills theory -- 4 Gravitation as a gauge theory -- 5 Einstein-Cartan theory -- 6 Teleparallelism -- 7 Yang’s theory of gravity -- 8 BRST quantization of gravity -- 9 Gravitational instantons -- 10 Three-dimensional gravity -- 11 Spinor bundles -- 12 Chiral anomalies -- 13 Topological SL(5;R) gauge invariant action -- 14 Geometrodynamics and its extensions -- 15 Color Geometrodynamics -- 16 Geometrodynamical model of quark confinement?- Appendix A Notation and mathematical terms -- Appendix B Calculus of exterior forms -- Appendix C Lie groups
Dimensions
unknown
Edition
2nd ed. 2017.
Extent
XVII, 373 p. 18 illus., 8 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319297347
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-319-29734-7
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-29734-7

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