Published September 20, 2016 | Version v1
Journal article Open

The topological susceptibility in the large-N limit of SU(N) Yang–Mills theory

Creators

  • 1. Scuola Normale Superiore, Piazza della Cavalieri 7, I-56126 Pisa, Italy and INFN, sezione di Pisa, Largo B. Pontecorvo 3, I-56127 Pisa, Italy
  • 2. J ohn von Neumann Institute for Computing (NIC), DESY, Platanenallee 6, D-15738 Zeuthen, Germany and Insitut für Physik, Humboldt Universität zu Berlin, Newtonstr. 15, D-12489 Berlin, Germany
  • 3. Università di Milano Bicocca, Piazza della Scienza 3, I-20126 Milano, Italy and INFN, sezione di Milano Bicocca, Piazza della Scienza 3, I-20126 Milano, Italy
  • 4. John von Neumann Institute for Computing (NIC), DESY, Platanenallee 6, D-15738 Zeuthen, Germany

Description

We compute the topological susceptibility of the \(\mathrm{SU}(N)\) Yang–Mills theory in the large-\(N\) limit with a percent level accuracy. This is achieved by measuring the gradient-flow definition of the susceptibility at three values of the lattice spacing for \(N=3\), \(4\), \(5\), \(6\). Thanks to this coverage of parameter space, we can extrapolate the results to the large-\(N\) and continuum limits with confidence. Open boundary conditions are instrumental to make simulations feasible on the finer lattices at the larger \(N\).

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Cè, García Vera, Giusti, Schaefer - 2016 - The topological susceptibility in the large-N limit of SU(N) Yang–Mills theory.pdf

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Additional details

Related works

Is identical to
arXiv:1607.05939 (arXiv)