6 Citations
The Dressing Field Method of Gauge Symmetry Reduction, a Review with Examples
- Physics
- 2018
Gauge symmetries are a cornerstone of modern physics but they come with technical difficulties when it comes to quantization, to accurately describe particles phenomenology or to extract observables…
Dilaton from tractor and matter field from twistor
- PhysicsJournal of High Energy Physics
- 2019
A bstractConformal tractors and twistors can be obtained via gauge reduction of the conformal Cartan geometry, thanks to the dressing field method. Perhaps surprisingly, it is possible to reduce the…
Bundle geometry of the connection space, covariant Hamiltonian formalism, the problem of boundaries in gauge theories, and the dressing field method
- Physics
- 2020
We take advantage of the principal bundle geometry of the space of connections to obtain general results on the presymplectic structure of two classes of (pure) gauge theories: invariant theories,…
Bundle geometry of the connection space, covariant Hamiltonian formalism, the problem of boundaries in gauge theories, and the dressing field method
- Physics
- 2020
We take advantage of the principal bundle geometry of the space of connections to obtain general results on the presymplectic structure of two classes of (pure) gauge theories: invariant theories,…
Note on the bundle geometry of field space, variational connections, the dressing field method, & presymplectic structures of gauge theories over bounded regions
- MathematicsJournal of High Energy Physics
- 2021
Abstract
In this note, we consider how the bundle geometry of field space interplays with the covariant phase space methods so as to allow to write results of some generality on the presymplectic…
Tractors and Twistors from conformal Cartan geometry: a gauge theoretic approach I. Tractors
- Mathematics
- 2016
Tractors and Twistors bundles both provide natural conformally covariant calculi on $4D$-Riemannian manifolds. They have different origins but are closely related, and usually constructed bottom-up…
References
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The Spectral Action Principle
- Physics
- 1997
Abstract:We propose a new action principle to be associated with a noncommutative space . The universal formula for the spectral action is where is a spinor on the Hilbert space, is a scale and a…
Singularities, horizons, firewalls, and local conformal symmetry
- Physics
- 2015
The Einstein-Hilbert theory of gravity can be rephrased by focusing on local conformal symmetry as an exact, but spontaneously broken symmetry of nature. The conformal component of the metric field…
GAUGE-INVARIANT FORMULATION OF QUANTUM ELECTRODYNAMICS
- Physics
- 1955
Electrodynamics is formulated so as to be manifestly invariant under general gauge transformations, through being built up entirely in terms of gauge-invariant dynamical variables. The quantization…
Residual Weyl symmetry out of conformal geometry and its BRST structure
- Physics
- 2015
A bstractThe conformal structure of second order in m-dimensions together with the so-called (normal) conformal Cartan connection, is considered as a framework for gauge theories. The dressing field…