PoS - Proceedings of Science
Volume 451 - European network for Particle physics, Lattice field theory and Extreme computing (EuroPLEx2023) - Poster Session
Taming NSPT fluctuations in O(N) Non-Linear Sigma Model: simulations in the large N regime
P. Baglioni
Full text: Not available
Abstract
The Non-Linear Sigma Model (NLSM) is an example of a field theory on a target space exhibiting intricate geometry. One remarkable characteristic of the NLSM is asymptotic freedom, which triggers interest in perturbative calculations. In the lattice formulation of NLSM, one would naturally rely on Numerical Stochastic Perturbation Theory (NSPT) to conduct high-order computations. However, when dealing with low-dimensional systems, NSPT reveals increasing statistical
fluctuations with higher and higher orders. This of course does not come as a surprise and one is ready to live with this, as long as the noise is not going to completely kill the signal, which thing unfortunately in some models does take place. We investigate how, in the O(N) context, this
behaviour strongly depends on N. As expected, larger N values make higher-order computations feasible.
How to cite

Metadata are provided both in "article" format (very similar to INSPIRE) as this helps creating very compact bibliographies which can be beneficial to authors and readers, and in "proceeding" format which is more detailed and complete.

Open Access
Creative Commons LicenseCopyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.