The parton orbital angular momentum: Status and prospects
Theoretical progress on the formulation and classification of the quark and gluon orbital
angular momenta (OAM) is reviewed. Their relation to parton distributions and open …
angular momenta (OAM) is reviewed. Their relation to parton distributions and open …
[HTML][HTML] On the canonical formulation of gauge field theories and Poincaré transformations
DN Blaschke, F Gieres - Nuclear Physics B, 2021 - Elsevier
We address the Hamiltonian formulation of classical gauge field theories while putting
forward results some of which are not entirely new, though they do not appear to be well …
forward results some of which are not entirely new, though they do not appear to be well …
[图书][B] Gauge symmetries, symmetry breaking, and gauge-invariant approaches
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 …
conceptual construction of modern (particle) physics theories. However, it is yet unclear …
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 …
obtain general results on the presymplectic structure of two classes of (pure) gauge theories …
Gauge symmetries, symmetry breaking, and gauge-invariant approaches
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 …
conceptual construction of modern (particle) physics theories. However, it is yet unclear …
The dressing field method of gauge symmetry reduction, a review with examples
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 …
difficulties when it comes to quantization, to accurately describe particles phenomenology or …
Tractors and Twistors from conformal Cartan geometry: a gauge theoretic approach I. Tractors
J Attard, J François - arXiv preprint arXiv:1609.07307, 2016 - arxiv.org
Tractors and Twistors bundles both provide natural conformally covariant calculi on $4 D $-
Riemannian manifolds. They have different origins but are closely related, and usually …
Riemannian manifolds. They have different origins but are closely related, and usually …
Weyl gravity and Cartan geometry
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 …
provides a natural differential geometric framework underlying gauge theories of conformal …
Gauge Fixing in QFT and the Dressing Field Method
M Guillaud, S Lazzarini, T Masson - arXiv preprint arXiv:2406.19937, 2024 - arxiv.org
In this paper, we revisit the Dressing Field Method (DFM) in the context of Quantum (Gauge)
Field Theories (QFT). In order to adapt this method to the functional path integral formalism …
Field Theories (QFT). In order to adapt this method to the functional path integral formalism …
A massive gauge theory à la Utiyama
RR Cuzinatto, BM Pimentel, PJ Pompeia… - Physica …, 2023 - iopscience.iop.org
Utiyama's method is a deductive approach of building gauge theories for semi-simple
groups of local transformations, including the Abelian U (1) case, the non-Abelian SU (N) …
groups of local transformations, including the Abelian U (1) case, the non-Abelian SU (N) …