Perturbative calculations of gradient flow observables are technically challenging. Current results are limited to a few quantities and, in general, to low perturbative orders. Numerical stochastic perturbation theory is a potentially powerful tool that may be applied in this context. Precise results using these techniques, however, require control over both statistical and systematic uncertainties. In this contribution, we discuss some recent algorithmic developments that lead to a substantial reduction of the cost of the computations. The matching of the MS coupling with the gradient flow coupling in a finite box with Schrödinger functional boundary conditions is considered for illustration.

Dalla Brida, M., Lüscher, M. (2017). The gradient flow coupling from numerical stochastic perturbation theory. Intervento presentato a: 34th International Symposium on Lattice Field Theory (Lattice 2016), Southampton, UK [10.22323/1.256.0332].

The gradient flow coupling from numerical stochastic perturbation theory

Dalla Brida, M;
2017

Abstract

Perturbative calculations of gradient flow observables are technically challenging. Current results are limited to a few quantities and, in general, to low perturbative orders. Numerical stochastic perturbation theory is a potentially powerful tool that may be applied in this context. Precise results using these techniques, however, require control over both statistical and systematic uncertainties. In this contribution, we discuss some recent algorithmic developments that lead to a substantial reduction of the cost of the computations. The matching of the MS coupling with the gradient flow coupling in a finite box with Schrödinger functional boundary conditions is considered for illustration.
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Lattice field theory; Perturbation theory; Numerical algorithms; Renormalization;
English
34th International Symposium on Lattice Field Theory (Lattice 2016)
2016
2017
256
1
7
332
https://pos.sissa.it/256/332
open
Dalla Brida, M., Lüscher, M. (2017). The gradient flow coupling from numerical stochastic perturbation theory. Intervento presentato a: 34th International Symposium on Lattice Field Theory (Lattice 2016), Southampton, UK [10.22323/1.256.0332].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/183325
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