Speaker
Dr
Markus Pak
(University of Graz)
Description
Recently, a new $SU(4)$ symmetry has been established, which appears after removing the quasi-zero modes from the Overlap Dirac operator. Namely, the $\rho, \rho', \omega, \omega', a_1, b_1$ and possibly $f_1$ $J=1$ mesons become mass degenerate after the quasi-zero mode removal. The $SU(4)$ symmetry contains $SU(2)_L \times SU(2)_R \times U(1)_A$ as a subgroup and predicts, among other things, that all isovector states of given spin $J$ become mass degenerate. Here we study isovector $J=2$ mesons and observe the degeneracy of all states after removing the quasi-zero modes. This result gives evidence that the $SU(4)$ symmetry is present for mesons of total spin $J \geq 1$.
Primary author
Dr
Markus Pak
(University of Graz)
Co-authors
Prof.
Leonid Glozman
(University of Graz)
Mr
Mikhail Denissenya
(University of Graz)
