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Numerical Stochastic Perturbation Theory in the Schrödinger Functional

2013/10/31 by Michele Brambilla, Mattia Dalla Brida, Brambilla, Michele +7
Economics, Econometrics and Finance · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #Stochastic processes and financial applications #hep-lat

paper · pdf · doi:10.48550/arxiv.1310.8536

7 pages, 2 figures, 2 tables, presented at the 31st International Symposium on Lattice Field Theory - LATTICE 2013 July 29 - August 3, 2013 Mainz, Germany

openalex publication_date 2013/10/31 · arxiv created 2013/11/05 · arxiv updated 2013/11/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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