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2014•Proceedings of 31st International Symposium on Lattice Field Theory LATTICE 2013 — PoS(LATTICE 2013)Open access

Scale Setting in Lattice QCD

Rainer Sommer

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Abstract

The principles of scale setting in lattice QCD as well as the advantages and disadvantages of various commonly used scales are discussed.After listing criteria for good scales, I concentrate on the main presently used ones with an emphasis on scales derived from the Yang-Mills gradient flow.For these I discuss discretisation errors, statistical precision and mass effects.A short review on numerical results also brings me to an unpleasant disagreement which remains to be explained.

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The principles of scale setting in lattice QCD as well as the advantages and disadvantages of various commonly used scales are discussed.After listing criteria for good scales, I concentrate on the main presently used ones with an emphasis on scales derived from the Yang-Mills gradient flow.For these I discuss discretisation errors, statistical precision and mass effects.A short review on numerical results also brings me to an unpleasant disagreement which remains to be explained.

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Available abstract

The principles of scale setting in lattice QCD as well as the advantages and disadvantages of various commonly used scales are discussed.After listing criteria for good scales, I concentrate on the main presently used ones with an emphasis on scales derived from the Yang-Mills gradient flow.For these I discuss discretisation errors, statistical precision and mass effects.A short review on numerical results also brings me to an unpleasant disagreement which remains to be explained.

Key concepts: Lattice (music), Discretization, Quantum chromodynamics, Lattice QCD, Statistical physics, Scale (ratio), Computer science, Balanced flow

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