Classical Gauge Gravitation Theory
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Classical gravitation theory is formulated as gauge theory on natural bundles where gauge symmetries are general covariant transformations and a gravitational field is a Higgs field responsible for their spontaneous symmetry breaking as mentioned in this paper.Abstract:
Classical gravitation theory is formulated as gauge theory on natural bundles where gauge symmetries are general covariant transformations and a gravitational field is a Higgs field responsible for their spontaneous symmetry breaking.read more
Citations
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Gauge invariant composite fields out of connections, with examples
Cédric Fournel,Cédric Fournel,Jordan François,Jordan François,Serge Lazzarini,Serge Lazzarini,Thierry Masson,Thierry Masson +7 more
TL;DR: In this article, the authors put forward a systematic and unifying approach to construct gauge invariant composite fields out of connections, which relies on the existence in the theory of a group valued field with a prescribed gauge transformation.
Journal ArticleDOI
Gauge invariant composite fields out of connections, with examples
Cédric Fournel,Cédric Fournel,Jordan François,Jordan François,Serge Lazzarini,Serge Lazzarini,Thierry Masson,Thierry Masson +7 more
TL;DR: In this article, the authors put forward a systematic and unifying approach to construct gauge invariant composite fields out of connections, which relies on the existence in the theory of a group-valued field with a prescribed gauge transformation.
Journal ArticleDOI
Classical Higgs fields
TL;DR: In this article, a classical gauge theory on a principal fiber bundle P → X in the case where its structure group G is reduced to a subgroup H in the presence of classical Higgs fields described by global sections of the quotient fiber bundle Y → P/H → X.
Journal ArticleDOI
Dynamical symmetries, coherent states and nonlinear realizations: the SO(2,4) case
TL;DR: In this article, the SO(4, 2) group is discussed from the point of view of symmetries and a spontaneous compactification mechanism is defined in the subspace invariant under the stability subgroup.
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Dynamical Symmetries, Super-coherent States and Noncommutative Structures: Categorical and Geometrical Quantization Analysis
TL;DR: In this paper, the relation between fundamental spacetime structures and dynamical symmetries is treated beyond the geometrical and topological viewpoint, taking into account the concept of categories and quasi hamiltonian structures.
References
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Metric affine gauge theory of gravity: Field equations, Noether identities, world spinors, and breaking of dilation invariance
TL;DR: In this article, the authors present explicit models for a symmetry breakdown in the cases of the Weyl (or homothetic) group, the SL(4, R), or the GL(4-R) covering subgroup.
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.
Book
Natural operations in differential geometry
TL;DR: In this article, the authors present a general theory of Lie Derivatives and their application in a variety of fields and functions, including bundles and bundles of bundles on manifolds.
Journal ArticleDOI
Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance
TL;DR: In this article, a Lagrangian formalism and corresponding Noether machinery are presented for symmetry breakdown in the cases of the Weyl (or homothetic) group, the ${SL}(4,R)$ or the ${GL} (4, R)$ in four dimensions.