Combinatorics and Arithmetic for Physics: special days

Geometry, Matter and Physics (in person)

1 déc. 2021, 12:00

50m

Centre de conférences Marilyn et James Simons (Le Bois-Marie)

Orateur

Richard Kerner (LPTMC, Sorbonne-Université)

Description

We show how the fundamental statistical properties of quantum fields combined with the superposition principle lead to continuous symmetries including the $SL(2,C)$ group and the internal symmetry groups $SU(2)$ and $SU(3)$. The exact colour symmetry is related to ternary $Z_3$-graded generalization of the fermionic commutation relations for quarks. A $Z_3$-graded generalization of the Dirac equation is presented, and its invariance properties are analyzed. They lead to an enlarged $Z_3$-graded Lorentz group, operating in the Hilbert space of quark states including flavors and generations.

Documents de présentation

cap2021-Kerner.pdf

Vidéo