The O(N) non-linear sigma model (NLSM) is an example of field theory on a target space with nontrivial geometry. One interesting feature of NLSM is asymptotic freedom, which makes perturbative calculations interesting. Given the successes in Lattice Gauge Theories, Numerical Stochastic Perturbation Theory (NSPT) is a natural candidate for performing high-order computations also in the case of NLSM. However, in low-dimensional systems NSPT is known to display statistical fluctuations substantially increasing for increasing orders. In this work, we explore how for O(N) NLSM this behaviour is strongly dependent on N. As largely expected on general grounds, the larger is N, the larger is the order at which a NSPT computation can be effectively performed.
NSPT for O(N) non-linear sigma model: the larger N the better / Baglioni, P.; Di Renzo, F.. - In: POS PROCEEDINGS OF SCIENCE. - ISSN 1824-8039. - 453:(2024). (Intervento presentato al convegno 40th International Symposium on Lattice Field Theory, LATTICE 2023 tenutosi a Batavia IL - USA nel 31 July 2023 through 4 August 2023) [10.22323/1.453.0366].
NSPT for O(N) non-linear sigma model: the larger N the better
Baglioni P.
;Di Renzo F.
2024-01-01
Abstract
The O(N) non-linear sigma model (NLSM) is an example of field theory on a target space with nontrivial geometry. One interesting feature of NLSM is asymptotic freedom, which makes perturbative calculations interesting. Given the successes in Lattice Gauge Theories, Numerical Stochastic Perturbation Theory (NSPT) is a natural candidate for performing high-order computations also in the case of NLSM. However, in low-dimensional systems NSPT is known to display statistical fluctuations substantially increasing for increasing orders. In this work, we explore how for O(N) NLSM this behaviour is strongly dependent on N. As largely expected on general grounds, the larger is N, the larger is the order at which a NSPT computation can be effectively performed.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.