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 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 & INFN, Sezione di Pisa, Italy) Miguel Francisco Garcia Vera (NIC, DESY & Humboldt Universitat zu Berlin) Stefan Schaefer (NIC, DESY)

Presentation Materials

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