We present a precise computation of the topological susceptibility χYM of SU(N) Yang-Mills theory in the large N limit. The computation is done on the lattice, using high-statistics Monte Carlo simulations with N =3;4;5;6 and three different lattice spacings. Two major improvements make it possible 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. The results allow us to extrapolate the dimensionless quantity t02 χYM to the continuum and large N limits with confidence. The accuracy of the final result represents a new quality in the verification of large N scaling.

Cè, M., Miguel, G., García Vera, L., Schaefer, S., Giusti, L. (2017). The large N limit of the topological susceptibility of Yang-Mills gauge theory. In Proceedings, 34th International Symposium on Lattice Field Theory (Lattice 2016) : Southampton, UK, July 24-30, 2016. Proceedings of Science (PoS) [10.22323/1.256.0350].

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

Cè, Marco;Giusti, L
2017

Abstract

We present a precise computation of the topological susceptibility χYM of SU(N) Yang-Mills theory in the large N limit. The computation is done on the lattice, using high-statistics Monte Carlo simulations with N =3;4;5;6 and three different lattice spacings. Two major improvements make it possible 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. The results allow us to extrapolate the dimensionless quantity t02 χYM to the continuum and large N limits with confidence. The accuracy of the final result represents a new quality in the verification of large N scaling.
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High Energy Physics - Lattice; High Energy Physics - Lattice
English
International Symposium on Lattice Field Theory (Lattice 2016)
2016
Proceedings, 34th International Symposium on Lattice Field Theory (Lattice 2016) : Southampton, UK, July 24-30, 2016
2017
128557
350
http://arxiv.org/abs/1610.08797v1
open
Cè, M., Miguel, G., García Vera, L., Schaefer, S., Giusti, L. (2017). The large N limit of the topological susceptibility of Yang-Mills gauge theory. In Proceedings, 34th International Symposium on Lattice Field Theory (Lattice 2016) : Southampton, UK, July 24-30, 2016. Proceedings of Science (PoS) [10.22323/1.256.0350].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/154313
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