# The 34th International Symposium on Lattice Field Theory (Lattice 2016)

24-30 July 2016
Highfield Campus, University of Southampton
Europe/London timezone

## The large $N$ limit of the topological susceptibility of Yang-Mills gauge theory

29 Jul 2016, 14:20
20m
Building 67 Room 1007 (Highfield Campus, University of Southampton)

### Building 67 Room 1007

#### Highfield Campus, University of Southampton

Talk Vacuum Structure and Confinement

### Speaker

Miguel Francisco Garcia Vera (NIC, DESY & Humboldt Universitat zu Berlin)

### Description

We present a precise computation of the topological susceptibility $\chi$ of SU($N$) Yang–Mills theory in the large-$N$ limit. The computation is done on the lattice, using high-statistics Monte Carlo simulations of the SU($N$) Yang-Mills theories, with $N=3, 4, 5, 6$ and three different lattice spacings. Two major improvements allowed us to go to finer lattice spacing and larger $N$ compared to previous works. First, the topological charge is implemented through the gradient flow definition; and second, open boundary conditions in the time direction are employed in order to avoid the freezing of the topological charge. Our results allow us to extrapolate the dimensionless quantity $t_0^2\chi$ to the continuum and large-$N$ limits with confidence. The accuracy of our final result represents a new quality in the verification of large-$N$ scaling.

### Primary authors

Leonardo Giusti (Università di Milano Bicocca, Milano, Italy) Marco Cè (Scuola Normale Superiore, Pisa, Italy &amp; INFN, Sezione di Pisa, Italy) Miguel Francisco Garcia Vera (NIC, DESY & Humboldt Universitat zu Berlin) Stefan Schaefer (NIC, DESY)

 Slides