Geometric Relational Framework for General‐Relativistic Gauge Field Theories

JT François, L Ravera - Fortschritte der Physik, 2024 - Wiley Online Library
It is recalled how relationality arises as the core insight of general‐relativistic gauge field
theories from the articulation of the generalized hole and point‐coincidence arguments …

Cartan geometry, supergravity, and group manifold approach

J François, L Ravera - arXiv preprint arXiv:2402.11376, 2024 - arxiv.org
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, providing …

[图书][B] Gauge symmetries, symmetry breaking, and gauge-invariant approaches

P Berghofer, J François, S Friederich, H Gomes… - 2023 - cambridge.org
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 …

The dressing field method for diffeomorphisms: a relational framework

JTF Andre - Journal of Physics A: Mathematical and Theoretical, 2024 - iopscience.iop.org
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Artificial versus substantial gauge symmetries: A criterion and an application to the electroweak model

J François - Philosophy of Science, 2019 - cambridge.org
To systematically answer the generalized Kretschmann objection, I propose a mean to make
operational a criterion widely recognized as allowing one to decide whether the gauge …

Bundle geometry of the connection space, covariant Hamiltonian formalism, the problem of boundaries in gauge theories, and the dressing field method

J François - Journal of High Energy Physics, 2021 - Springer
A bstract 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 …

Gauge symmetries, symmetry breaking, and gauge-invariant approaches

P Berghofer, J François, S Friederich, H Gomes… - arXiv preprint arXiv …, 2021 - arxiv.org
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 …

The dressing field method of gauge symmetry reduction, a review with examples

J Attard, J François, S Lazzarini, T Masson - Foundations of mathematics …, 2018 - Springer
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 …

Relational bundle geometric formulation of non-relativistic quantum mechanics

J François, L Ravera - arXiv preprint arXiv:2501.02046, 2025 - arxiv.org
We present a bundle geometric formulation of non-relativistic many-particles Quantum
Mechanics. A wave function is seen to be a $\mathbb {C} $-valued cocyclic tensorial 0-form …

Dilaton from tractor and matter field from twistor

J François - Journal of High Energy Physics, 2019 - Springer
A bstract Conformal tractors and twistors can be obtained via gauge reduction of the
conformal Cartan geometry, thanks to the dressing field method. Perhaps surprisingly, it is …