The Schrödinger functional (SF) is a powerful and widely used tool for the treatment of a variety of problems in renormalization and related areas. Albeit offering many conceptual advantages, one major downside of the SF scheme is the fact that perturbative calculations quickly become cumbersome with the inclusion of higher orders in the gauge coupling and hence the use of an automated perturbation theory framework is desirable. We present the implementation of the SF in numerical stochastic perturbation theory (NSPT) and compare first results for the running coupling at two loops in pure SU(3) Yang-Mills theory with the literature

Brambilla, M., Dalla Brida, M., Di Renzoa, F., Hesse, D., Sint, S. (2014). Numerical stochastic perturbation theory in the Schrödinger functional. Intervento presentato a: 31st International Symposium on Lattice Field Theory (Lattice 2013), Mainz, Germany [10.22323/1.187.0325].

Numerical stochastic perturbation theory in the Schrödinger functional

Dalla Brida, M;
2014

Abstract

The Schrödinger functional (SF) is a powerful and widely used tool for the treatment of a variety of problems in renormalization and related areas. Albeit offering many conceptual advantages, one major downside of the SF scheme is the fact that perturbative calculations quickly become cumbersome with the inclusion of higher orders in the gauge coupling and hence the use of an automated perturbation theory framework is desirable. We present the implementation of the SF in numerical stochastic perturbation theory (NSPT) and compare first results for the running coupling at two loops in pure SU(3) Yang-Mills theory with the literature
slide + paper
Lattice QCD; Perturbation theory; Stochastic quantization; Langevin equations
English
31st International Symposium on Lattice Field Theory (Lattice 2013)
2013
2014
187
325
https://pos.sissa.it/187/325
open
Brambilla, M., Dalla Brida, M., Di Renzoa, F., Hesse, D., Sint, S. (2014). Numerical stochastic perturbation theory in the Schrödinger functional. Intervento presentato a: 31st International Symposium on Lattice Field Theory (Lattice 2013), Mainz, Germany [10.22323/1.187.0325].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/183297
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