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2015

Evidence for a new $SU(4)$ symmetry with $J=2$ mesons

Denissenya, M., Glozman, L. Ya., Pak, M.

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Recently, a new symmetry of mesons has been found upon truncation of the quasi-zero modes of the Overlap Dirac operator in lattice simulations.

Namely, the $\rho,\rho',\omega,\omega',a_1, b_1,h_1$ and possibly $f_1$ $J=1$ mesons get degenerate after removal of the quasi-zero modes.
This emergent symmetry has been established to be $SU(4)\supset SU(2)_L \times SU(2)_R \times U(1)_A$.
It is higher than the symmetry of the QCD Lagrangian and provides not only a mixing of quarks of given chirality in the isospin space, but also the mixing of left-handed and right-handed components.

Evidence for a new $SU(4)$ symmetry with $J=2$ mesons · Around

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