# The 39th International Symposium on Lattice Field Theory (Lattice 2022)

Aug 8 – 13, 2022
Hörsaalzentrum Poppelsdorf
Europe/Berlin timezone

## The glueball spectrum with $N_f=4$ light fermions

Aug 11, 2022, 9:00 AM
20m
CP1-HSZ/1st-1.002 - HS6 (CP1-HSZ)

### CP1-HSZ/1st-1.002 - HS6

#### CP1-HSZ

50
Oral Presentation Hadron Spectroscopy and Interactions

### Speaker

Dr Andreas Athenodorou (The Cyprus Institute)

### Description

We investigate the glueball spectrum for $N_f=4$ fermions corresponding to low pion masses of $m_\pi \sim 260$MeV. We do so by making use of configurations produced with maximally twisted fermions within the framework of the Extended Twisted Mass Collaboration (ETMC). We extract states that belong to irreducible representations of the octagonal group of rotations $R$ in combination with the quantum numbers of charge conjugation $C$ and parity $P$, i.e. $R^{PC}$. We implement the Generalized Eigenvalue Problem (GEVP) using a basis consisting only of gluonic operators. The purpose of this work is to investigate the effect of light dynamical quarks on the glueball spectrum and how this compares to the statistically more accurate spectrum of pure gauge theory. We employed large ensembles of the order of ${\sim {~\cal O}}(10 {\rm K})$ configurations each for three different lattice spacings. Our results demonstrate that in the scalar channel $A_1^{++}$ we obtain an additional state due to inclusion of the dynamical quarks while the mass of the tensor glueball $J^{PC}=2^{++}$ appears to be insensitive to the inclusion of sea quarks. In addition we perform an investigation of the low lying spectrum of the representation $A_1^{++}$ for $N_f=2+1+1$ twisted mass quarks with low masses and demonstrate that the lowest mass depends strongly on the pion mass. This suggests that the ground state of the scalar glueball has a quark content.

### Primary authors

Mrs Adam Lantos (Cyprus University of Technology) Dr Andreas Athenodorou (The Cyprus Institute) Jacob Finkenrath Dr Michael Teper (University of Oxford)