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

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

## Towards glueball masses of large-N SU(N) Yang-Mills theories without topological freezing via parallel tempering on boundary conditions

Aug 9, 2022, 2:20 PM
20m
CP1-HSZ/1st-1.001 - HS5 (CP1-HSZ)

### CP1-HSZ/1st-1.001 - HS5

#### CP1-HSZ

50
Oral Presentation Vacuum Structure, Confinement, and Chiral Symmetry

### Speaker

Dr Claudio Bonanno (INFN Firenze)

### Description

Standard local updating algorithms experience a critical slowing down close to the continuum limit, which is particularly severe for topological observables. In practice, the Markov chain tends to remain trapped in a fixed topological sector. This problem further worsens at large $N$, and is known as $~\mathit{topological}$ $~\mathit{freezing}$.

To mitigate it, we adopt the parallel tempering on boundary conditions proposed by M. Hasenbusch. This algorithm allows to obtain a reduction of the auto-correlation time of the topological charge up to several orders of magnitude.

With this strategy we are able to provide the first computation of low-lying glueball masses at large $N$ free of any systematics related to topological freezing.

### Primary authors

Biagio Lucini (Swansea University) Dr Claudio Bonanno (INFN Firenze) Davide Vadacchino (University of Plymouth) Prof. Massimo D'Elia (Pisa U. and INFN Pisa)