4 papers
Invariant Path-Integral Quantization and Anomaly Cancellation
J. François, L. Ravera
We present an invariant relational path-integral quantization framework for general-relativistic gauge field theories based on the Dressing Field Method. The construction implement…
Bundle geometry of the connection space, covariant Hamiltonian formalism, the problem of boundaries in gauge theories, and the dressing field method
Jordan François
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: inv…
Cartan Connections and Atiyah Lie Algebroids
Jeremy Attard, Jordan François, Serge Lazzarini +1
This work extends previous developments carried out by some of the authors on Ehresmann connections on Atiyah Lie algebroids. In this paper, we study Cartan connections in a framew…
Dilaton from Tractor and Matter Field from Twistor
Jordan François
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…