47 citations · 185 across the 13 of their papers we have counts for
13 papers
Mechanics as a general-relativistic gauge field theory, and Relational Quantization
J. François, L. Ravera
We treat the Mechanics of point particles as a 1-dimensional general-relativistic gauge field theory, which may be referred to as Mechanical Field Theory (MFT), exploiting the bund…
What Price Fiber Bundle Substantivalism? On How to Avoid Holes in Fibers
Philipp Berghofer, Jordan François, Lucrezia Ravera
On a mathematically foundational level, our most successful physical theories (gauge field theories and general-relativistic theories) are formulated in a framework based on the di…
Geometric relational framework for general-relativistic gauge field theories
Jordan François, Lucrezia Ravera
We remind how relationality arises as the core insight of general-relativistic gauge field theories from the articulation of the generalised hole and point-coincidence arguments. H…
Dressing vs. Fixing: On How to Extract and Interpret Gauge-Invariant Content
Philipp Berghofer, Jordan François
There is solid consensus among physicists and philosophers that, in gauge field theory, for a quantity to be physically meaningful or real, it must be gauge-invariant. Yet, every "…
Cartan geometry, supergravity, and group manifold approach
J. François, L. Ravera
We make a case for the unique relevance of Cartan geometry for gauge theories of gravity and supergravity. We introduce our discussion by recapitulating historical threads, providi…
The dressing field method for diffeomorphisms: a relational framework
Jordan T. Francois Andre
The dressing field method is a tool to reduce gauge symmetries. Here we extend it to cover the case of diffeomorphisms. The resulting framework is a systematic scheme to produce Di…
Gauge Symmetries, Symmetry Breaking, and Gauge-Invariant Approaches
Philipp Berghofer, Jordan François, Simon Friederich +4
Gauge symmetries play a central role, both in the mathematical foundations as well as the conceptual construction of modern (particle) physics theories. However, it is yet unclear…
Twisted Gauge Fields
Jordan François
We propose a generalisation of the notion of associated bundles to a principal bundle constructed via group action cocycles rather than via mere representations of the structure gr…
The dressing field method of gauge symmetry reduction, a review with examples
J. Attard, J. François, S. Lazzarini +1
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 e…
Tractors and Twistors from conformal Cartan geometry: a gauge theoretic approach II. Twistors
Jordan François, Jeremy Attard
Tractors and Twistors bundles both provide natural conformally covariant calculi on -Riemannian manifolds. They have different origins but are closely related, and usually cons…
Tractors and Twistors from conformal Cartan geometry: a gauge theoretic approach I. Tractors
Jeremy Attard, Jordan François
Tractors and Twistors bundles both provide natural conformally covariant calculi on -Riemannian manifolds. They have different origins but are closely related, and usually cons…
Weyl gravity and Cartan geometry
Jeremy Attard, Jordan François, Serge Lazzarini
We point out that the Cartan geometry known as the second-order conformal structure provides a natural differential geometric framework underlying gauge theories of conformal gravi…
BRST structure for the mixed Weyl-diffeomorphism residual symmetry
Jordan François, Serge Lazzarini, Thierry Masson
In this paper, we show the compatibility of the so-called "dressing field method", which allows a systematic reduction of gauge symmetries, with the inclusion of diffeomorphisms in…