Geometric definition of gauge invariance
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This article is published in Annals of Physics.The article was published on 1963-08-01 and is currently open access. It has received 110 citations till now. The article focuses on the topics: Supersymmetric gauge theory & BRST quantization.read more
Citations
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Journal ArticleDOI
Gravitation, Gauge Theories and Differential Geometry
TL;DR: In this article, the Enrico Fermi Institute and Department of Physics, The University of Chicago, Chicago, Illinois, USA Peter B. GILKEY Fine Hall, Box 37.
Journal ArticleDOI
Magnetic monopoles in gauge field theories
Peter Goddard,D. I. Olive +1 more
TL;DR: In this paper, the magnetic monopole, associated with the conventional electromagnetic gauge group U(1), occurs as a finite-energy smooth soliton solution to an SU(2) gauge theory.
Journal ArticleDOI
The gauge treatment of gravity
TL;DR: In this paper, the gravitation theory is shown to be built from the Relativity and Equivalence principles, which can be seen as a gauge theory of space-time symmetries, which are spontaneously broken down to the Lorentz symmetry.
Book ChapterDOI
Classical Lumps and Their Quantum Descendants
TL;DR: A stone thrown into a still body of water makes ripples that spread out and eventually die away as mentioned in this paper, even if we ignore friction and assume the water to be infinite in extent.
Journal ArticleDOI
The principle of BRS symmetry: An alternative approach to Yang-Mills theories
L. Baulieu,Jean Thierry-Mieg +1 more
TL;DR: The most general BRS and anti-BRS admissible gauges are linear in the gauge field, but may depend non-linearly on the ghost fields as mentioned in this paper, and they also give a heuristic interpretation of the BRS symmetry.
References
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Journal ArticleDOI
Conservation of Isotopic Spin and Isotopic Gauge Invariance
Chen Ning Yang,Robert L. Mills +1 more
TL;DR: In this article, it was pointed out that the usual principle of invariance under isotopic spin rotation is not consistant with the concept of localized fields, and the possibility of having invariance in local isotope spin rotations was explored.
Book
The Topology of Fibre Bundles.
TL;DR: In this paper, a succint introduction to fiber bundles is provided, which includes such topics as differentiable manifolds and covering spaces, and a brief survey of advanced topics, such as homotopy theory and cohomology theory, before using them to study further properties of fibre bundles.
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Lorentz Invariance and the Gravitational Field
TL;DR: In this article, Utiyama's discussion is extended by considering the 10-parameter group of inhomogeneous Lorentz transformations, involving variation of the coordinates as well as the field variables.
Journal ArticleDOI
Invariant theoretical interpretation of interaction
TL;DR: In this paper, a general rule is obtained for introducing a new field in a definite way with a definite type of interaction with the original fields by postulating the invariance of these systems under a wider group derived by replacing the parameters of the original group with a set of arbitrary functions.