Zobrazeno 1 - 10
of 397
pro vyhledávání: '"Mathieu Philippe"'
The $\mathrm{U}(1)$ Chern-Simons theory can be extended to a topological $\mathrm{U}(1)^n$ theory by taking a combination of Chern-Simons and BF actions, the mixing being achieved with the help of a collection of integer coupling constants. Based on
Externí odkaz:
http://arxiv.org/abs/2409.10734
Autor:
Vorontsov, Eugene, Bozkurt, Alican, Casson, Adam, Shaikovski, George, Zelechowski, Michal, Liu, Siqi, Severson, Kristen, Zimmermann, Eric, Hall, James, Tenenholtz, Neil, Fusi, Nicolo, Mathieu, Philippe, van Eck, Alexander, Lee, Donghun, Viret, Julian, Robert, Eric, Wang, Yi Kan, Kunz, Jeremy D., Lee, Matthew C. H., Bernhard, Jan, Godrich, Ran A., Oakley, Gerard, Millar, Ewan, Hanna, Matthew, Retamero, Juan, Moye, William A., Yousfi, Razik, Kanan, Christopher, Klimstra, David, Rothrock, Brandon, Fuchs, Thomas J.
The use of artificial intelligence to enable precision medicine and decision support systems through the analysis of pathology images has the potential to revolutionize the diagnosis and treatment of cancer. Such applications will depend on models' a
Externí odkaz:
http://arxiv.org/abs/2309.07778
We explain how it is possible to study $\mathrm{U}\!\left(1\right)$ BF theory over a connected closed oriented smooth $3$-manifold in the formalism of path integral thanks to Deligne-Beilinson cohomology. We show how we can straightforwardly extend t
Externí odkaz:
http://arxiv.org/abs/2302.09191
In this first of a series of articles dedicated to natural extensions of the U(1) BF theory, abelian Turaev-Viro (TV) construction and corresponding Drinfeld center construction for any closed oriented smooth manifolds, we present the mathematical ba
Externí odkaz:
http://arxiv.org/abs/2212.12872
Publikováno v:
Physics Reports 1014 (2023) 1-83
We review the present status of gauge theories built on various quantum space-times described by noncommutative space-times. The mathematical tools and notions underlying their construction are given. Different formulations of gauge theory models on
Externí odkaz:
http://arxiv.org/abs/2210.11890
Publikováno v:
Int. J. Geom. Methods Mod. Phys. 19 (2022) 2250078
$\kappa$-Poincar\'e invariant gauge theories on $\kappa$-Minkowski space-time, which are noncommutative analogs of the usual $U(1)$ gauge theory, exist only in five dimensions. These are built from noncommutative twisted connections on a hermitian ri
Externí odkaz:
http://arxiv.org/abs/2110.10763
Publikováno v:
Phys. Rev. D 105 (2022) 106013
We consider a gauge theory on the 5-d $\kappa$-Minkowski which can be viewed as the noncommutative analog of a $U(1)$ gauge theory. We show that the Hermiticity condition obeyed by the gauge potential $A_\mu$ is necessarily twisted. Performing a BRST
Externí odkaz:
http://arxiv.org/abs/2107.14462
Publikováno v:
Phys. Rev. D 103, 086018 (2021)
Algebraic properties of the BRST symmetry associated to the twisted gauge symmetry occurring in the $\kappa$-Poincar\'e invariant gauge theories on the $\kappa$-Minkowski space are investigated. We find that the BRST operation associated to the gauge
Externí odkaz:
http://arxiv.org/abs/2102.10860
Autor:
Mathieu, Philippe, Teh, Nicholas J.
Publikováno v:
Ph. Mathieu and N. Teh. Boundary electromagnetic duality from homological edge modes. Journal of High Energy Physics 2021, 192 (2021)
Recent years have seen a renewed interest in using `edge modes' to extend the pre-symplectic structure of gauge theory on manifolds with boundaries. Here we further the investigation undertaken in \cite{FP2018} by using the formalism of homotopy pull
Externí odkaz:
http://arxiv.org/abs/2102.06799