# The 35th International Symposium on Lattice Field Theory

18-24 June 2017
Palacio de Congresos
Europe/Madrid timezone
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# Contribution Parallel

Andalucía II
Hadron Spectroscopy and Interactions

# Glueball spectrum from $N_f=2$ lattice QCD study on anisotropic lattices

• Mr. Wei SUN

## Primary authors

• Mr. Wei SUN (Institute of High Energy Physics, Chinese Academy of Sciences)
• Prof. Ying CHEN (Institute of High Energy Physics, Chinese Academy of Sciences)
• Prof. Jian-Ping MA (Institute of Theoretical Physics, Chinese Academy of Sciences)

## Content

The lowest-lying glueballs are investigated from $N_f=2$ QCD study on aniostropic lattices. Utilizing the gluonic operators built from Wilson loops to calculate the corresponding correlation functions, we obtain that in the tensor channel, the ground state mass to be $2.367(35)$ GeV and $2.380(61)$ GeV at $m_\pi∼938$ MeV and $650$ MeV, respectively. In the pseudoscalar channel, when we use the gluonic operator whose continuum limit has the form of $ϵ_{ijk}TrB_iD_jB_k$, we obtain the ground state mass to be $2.559(50)$ GeV and $2.605(52)$ GeV at the two pion masses. These results are in agreement with the corresponding glueball masses in the quenched approximation and show little dependence of pion masses. In contrast, if we use the topological charge density as field operators for the pseudoscalar, the masses of the lowest state are much lighter (around 1 GeV) and compatible with the expected masses of the flavor singlet $q\bar{q}$ meson. In the scalar channel, the ground state masses extracted from the correlation functions of gluonic operators are determined to be around $1.4-1.5$ GeV, which are close to the ground state masses from the correlation functions of the quark bilinear operators, for this we also need to consider the mixing between glueballs and conventional $q\bar{q}$ mesons.

## Preferred track (if multiple tracks have been selected)

Hadron Spectroscopy and Interactions