Speaker
Marco Cè
(SNS & INFN, Pisa)
Description
We present preliminary results for the topological charge susceptibility of SU(N) Yang–Mills theory in the large-N limit. This observable enters the Witten–Veneziano formula and gives the anomalous contribution to the η' meson mass in this limit. The computation is done on the lattice implementing the gradient flow definition of the topological charge, which is proven to coincide with the correct field-theoretic quantity in the continuum limit. High-statistics Monte Carlo simulations of lattice-regularized SU(N) Yang–Mills theory, with N=3, 4, 5, 6 and for three different lattice spacings, has been performed. Open boundary conditions in the time direction are employed to avoid the freezing of the topological charge both for finer lattices and larger N. This allows us to extrapolate the result to the continuum limit and to the N→∞ limit with confidence, keeping all the systematics negligible with respect to the statistical error.
Primary authors
Leonardo Giusti
(Milano-Bicocca U. & INFN, MIB)
Marco Cè
(SNS & INFN, Pisa)
Miguel García Vera
(NIC, DESY, Zeuthen & Humboldt U., Berlin)
Stefan Schaefer
(NIC, DESY, Zeuthen)
