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Title of Journal: J High Energ Phys

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Abbravation: Journal of High Energy Physics

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Springer Berlin Heidelberg

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DOI

10.1007/bf02034848

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1029-8479

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Schrödinger functional boundary conditions and imp

Authors: Ari Hietanen Tuomas Karavirta Pol Vilaseca
Publish Date: 2014/11/17
Volume: 2014, Issue: 11, Pages: 74-
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Abstract

The standard method to calculate nonperturbatively the evolution of the running coupling of a SUN gauge theory is based on the Schrödinger functional SF In this paper we construct a family of boundary fields for general values of N which enter the standard definition of the SF coupling We provide spatial boundary conditions for fermions in several representations which reduce the condition number of the squared Dirac operator In addition we calculate the mathcalOa improvement coefficients for N 3 needed to remove boundary cutoff effects from the gauge action After this residual cutoff effects on the step scaling function are shown to be very small even when considering nonfundamental representations We also calculate the ratio of Λ parameters between the overlinemathrmMS and SF schemesThis article is published under an open access license Please check the Copyright Information section for details of this license and what reuse is permitted If your intended use exceeds what is permitted by the license or if you are unable to locate the licence and reuse information please contact the Rights and Permissions team

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