Zobrazeno 1 - 10
of 32
pro vyhledávání: '"Ludwik Dąbrowski"'
Autor:
Ludwik Dąbrowski, Andrzej Sitarz
Publikováno v:
Journal of High Energy Physics, Vol 2019, Iss 2, Pp 1-16 (2019)
Abstract We investigate whether the Standard Model, within the accuracy of current experimental measurements, satisfies the regularity in the form of Hodge duality condition introduced and studied in [9]. We show that the neutrino and quark mass-mixi
Externí odkaz:
https://doaj.org/article/b2d9fc8eb7c342b08a3a38b9d0c0575d
Publikováno v:
Kyoto Journal of Mathematics. 62
Publikováno v:
Mathematical Physics, Analysis and Geometry. 24
An interesting feature of the finite-dimensional real spectral triple (A,H,D,J) of the Standard Model is that it satisfies a ``second-order'' condition: conjugation by J maps the Clifford algebra Cl_D(A) into its commutant, which in fact is isomorphi
Autor:
Alessandro Rubin, Ludwik Dąbrowski
Given a spectral triple on a unital [Formula: see text]-algebra [Formula: see text] and an equicontinuous action of a discrete group [Formula: see text] on [Formula: see text], a spectral triple on the reduced crossed product [Formula: see text]-alge
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::efcadb8040c22a848566919f251562b8
Publikováno v:
JOURNAL OF NONCOMMUTATIVE GEOMETRY
Let $H$ be the C*-algebra of a non-trivial compact quantum group acting freely on a unital C*-algebra $A$. It was recently conjectured that there does not exist an equivariant $*$-homomorphism from $A$ (type-I case) or $H$ (type-II case) to the equiv
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fd73c42cde3b6ffaf7d76d460dd60b7b
http://hdl.handle.net/10852/83344
http://hdl.handle.net/10852/83344
Autor:
Ludwik Dąbrowski
Publikováno v:
Trends in Mathematics ISBN: 9783030011550
We unveil the geometric nature of the multiplet of fundamental fermions in the Standard Model of fundamental particles as a noncommutative analogue of de Rham forms on the internal finite quantum space.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::09c47eb93ae331eb6234ca782d0d01ca
https://doi.org/10.1007/978-3-030-01156-7_8
https://doi.org/10.1007/978-3-030-01156-7_8
We study the twisted reality condition of Math. Phys. Anal. Geom. 19 (2016),no. 3, Art. 16, for spectral triples, in particular with respect to the product and the commutant. Motivated by this we present the procedure, which allows one to "untwist" t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e7332ef6f8bf5cbf0daa4ac1eb110798
https://ruj.uj.edu.pl/xmlui/handle/item/72730
https://ruj.uj.edu.pl/xmlui/handle/item/72730
Publikováno v:
Lett.Math.Phys.
Lett.Math.Phys., 2019, 109 (1), pp.113-133. ⟨10.1007/s11005-018-1102-z⟩
Lett.Math.Phys., 2019, 109 (1), pp.113-133. ⟨10.1007/s11005-018-1102-z⟩
Having in mind applications to particle physics we develop the differential calculus over Jordan algebras and the theory of connections on Jordan modules. In particular we focus on differential calculus over the exceptional Jordan algebra and provide
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::12572180ccdccb0ab1a6882cde6b68f3
https://hal.archives-ouvertes.fr/hal-01763499
https://hal.archives-ouvertes.fr/hal-01763499
Publikováno v:
Letters in Mathematical Physics
Given the algebra, Hilbert space H, grading and real structure of the finite spectral triple of the Standard Model, we classify all possible Dirac operators such that H is a self-Morita equivalence bimodule for the associated Clifford algebra.
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