Gauging the boundary in field-space

H Gomes - Studies in History and Philosophy of Science Part B …, 2019 - Elsevier
Local gauge theories are in a complicated relationship with boundaries. Whereas fixing the
gauge can often shave off unwanted redundancies, the coupling of different bounded …

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 …

The quasilocal degrees of freedom of Yang-Mills theory

H Gomes, A Riello - SciPost Physics, 2021 - scipost.org
Gauge theories possess nonlocal features that, in the presence of boundaries, inevitably
lead to subtleties. We employ geometric methods rooted in the functional geometry of the …

[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 …

Note on the bundle geometry of field space, variational connections, the dressing field method, & presymplectic structures of gauge theories over bounded regions

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

The dressing field method for diffeomorphisms: a relational framework

JTF Andre - Journal of Physics A: Mathematical and Theoretical, 2024 - iopscience.iop.org
The dressing field method for diffeomorphisms: a relational framework - IOPscience Skip to
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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 …

Symplectic reduction of Yang-Mills theory with boundaries: from superselection sectors to edge modes, and back

A Riello - SciPost Physics, 2021 - scipost.org
I develop a theory of symplectic reduction that applies to bounded regions in
electromagnetism and Yang-Mills theory. In this theory gauge-covariant superselection …

Dressing vs. Fixing: On How to Extract and Interpret Gauge-Invariant Content

P Berghofer, J François - arXiv preprint arXiv:2404.18582, 2024 - arxiv.org
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 …

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 …