We compute the topological susceptibility slope χ′, related to the second moment of the two-point correlator of the topological charge density, of 2d CPN-1 models for N=5, 11, 21 and 31 from lattice Monte Carlo simulations. Our strategy consists in performing a double limit: first, we take the continuum limit of χ′ at fixed smoothing radius in physical units; then, we take the zero-smoothing-radius limit. Since the same strategy can also be applied to 4d gauge theories and full QCD, where χ′ plays an intriguing theoretical and phenomenological role, this work constitutes a step toward the lattice investigation of this quantity in such models.
Lattice determination of the topological susceptibility slope χ′ of 2d CPN−1 models at large N
Bonanno, Claudio
2023-01-01
Abstract
We compute the topological susceptibility slope χ′, related to the second moment of the two-point correlator of the topological charge density, of 2d CPN-1 models for N=5, 11, 21 and 31 from lattice Monte Carlo simulations. Our strategy consists in performing a double limit: first, we take the continuum limit of χ′ at fixed smoothing radius in physical units; then, we take the zero-smoothing-radius limit. Since the same strategy can also be applied to 4d gauge theories and full QCD, where χ′ plays an intriguing theoretical and phenomenological role, this work constitutes a step toward the lattice investigation of this quantity in such models.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.