Mesons upon low-lying Dirac mode exclusion

Abstract

We study the isoscalar and isovector $J=0,1$ mesons with the overlap operator within two flavour lattice QCD. After subtraction of the lowest-lying Dirac eigenmodes from the valence quark propagator all disconnected contributions vanish and all possible point-to-point $J=0$ correlators become identical, signaling a simultaneous restoration of both $SU(2{)}_L\times SU(2{)}_R$ and $U(1{)}_A$ symmetries. The ground states of the $\pi ,\sigma ,a_0,\eta$ mesons do not survive this truncation. All possible $J=1$ states have a very clean exponential decay and become degenerate, demonstrating a $SU(4)$ symmetry of a dynamical QCD-like string.

arXiv comment7 pages, 6 figures, Proceedings from the 32nd International Symposium on Lattice Field Theory

References in corpus (7)

• On the generalized eigenvalue method for energies and matrix elements in lattice field theory
• Symmetries of hadrons after unbreaking the chiral symmetry
• Chiral multiplets of excited mesons
• Chiral Multiplets of Hadron Currents
• Unbreaking chiral symmetry
• Symmetries of mesons after unbreaking of chiral symmetry and their string interpretation
• Isoscalar mesons upon unbreaking of chiral symmetry