Zobrazeno 1 - 10
of 94
pro vyhledávání: '"Jean-Christophe Wallet"'
Publikováno v:
Journal of High Energy Physics, Vol 2024, Iss 7, Pp 1-21 (2024)
Abstract We construct a gauge theory model on the 4-dimensional ρ-Minkowski space-time, a particular deformation of the Minkowski space-time recently considered. The corresponding star product results from a combination of Weyl quantization map and
Externí odkaz:
https://doaj.org/article/85c2cf0ef24c4a4f92fca4fe53b8745a
Autor:
Kilian Hersent, Jean-Christophe Wallet
Publikováno v:
Journal of High Energy Physics, Vol 2023, Iss 7, Pp 1-19 (2023)
Abstract We study one-loop perturbative properties of scalar field theories on the ρ-Minkowski space. The corresponding star-product, together with the involution are characterized from a combination of Weyl quantization and defining properties of t
Externí odkaz:
https://doaj.org/article/31e0871d87234203863c607219549c90
Publikováno v:
Journal of High Energy Physics, Vol 2021, Iss 3, Pp 1-26 (2021)
Abstract We show that κ-Poincaré invariant gauge theories on κ-Minkowski space with physically acceptable commutative (low energy) limit must be 5-d. The gauge invariance requirement of the action fixes the dimension of the κ-Minkowski space to d
Externí odkaz:
https://doaj.org/article/0b667784e55649f282ca57847e67c1b7
Publikováno v:
Journal of High Energy Physics, Vol 2020, Iss 5, Pp 1-31 (2020)
Abstract We discuss the construction of κ-Poincaré invariant actions for gauge theories on κ-Minkowski spaces. We consider various classes of untwisted and (bi)twisted differential calculi. Starting from a natural class of noncommutative different
Externí odkaz:
https://doaj.org/article/ed827c6cfa144c27a1102db7ddc3eaa9
Publikováno v:
Journal of High Energy Physics, Vol 2019, Iss 1, Pp 1-21 (2019)
Abstract We consider a family of κ-Poincaré invariant scalar field theories on 4-d κ-Minkowski space with quartic orientable interaction, that is for which ϕ and its conjugate ϕ † alternate in the quartic interaction, and whose kinetic operato
Externí odkaz:
https://doaj.org/article/a244788b3d584b5092793351e9bb39fc
Publikováno v:
Journal of High Energy Physics, Vol 2017, Iss 7, Pp 1-32 (2017)
Abstract We show that s u 2 $$ \mathfrak{s}\mathfrak{u}(2) $$ Lie algebras of coordinate operators related to quantum spaces with s u 2 $$ \mathfrak{s}\mathfrak{u}(2) $$ noncommutativity can be conveniently represented by SO(3)-covariant poly-differe
Externí odkaz:
https://doaj.org/article/4a018265d10f4dff81ebb064d144685e
Autor:
Jean-Christophe Wallet
Publikováno v:
Nuclear Physics B, Vol 912, Iss C, Pp 354-373 (2016)
The noncommutative space Rλ3, a deformation of R3, supports a 3-parameter family of gauge theory models with gauge-invariant harmonic term, stable vacuum and which are perturbatively finite to all orders. Properties of this family are discussed. The
Externí odkaz:
https://doaj.org/article/008c80933c9640dd988b0cc20aa9390a
Autor:
Eric Cagnache, Jean-Christophe Wallet
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 6, p 026 (2010)
The spectral distance for noncommutative Moyal planes is considered in the framework of a non compact spectral triple recently proposed as a possible noncommutative analog of non compact Riemannian spin manifold. An explicit formula for the distance
Externí odkaz:
https://doaj.org/article/b4112a4721e342c8a3f5fdfb8a1b8262
Autor:
Jean-Christophe Wallet
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 5, p 013 (2009)
The differential calculus based on the derivations of an associative algebra underlies most of the noncommutative field theories considered so far. We review the essential properties of this framework and the main features of noncommutative connectio
Externí odkaz:
https://doaj.org/article/5a0ebb7afb094b35b7c69239b7404bab
Autor:
Jean-Christophe Wallet, Kilian Hersent
Publikováno v:
Proceedings of Corfu Summer Institute 2021 "School and Workshops on Elementary Particle Physics and Gravity" — PoS(CORFU2021).