The three-loop beta function of SU(N) lattice gauge theories with Wilson fermions
TLDR
In this paper, the third coefficient of the lattice beta function associated with the Wilson formulation for both gauge fields and fermions was calculated and the relation between the Lambda-parameter and the bare coupling was analyzed.Abstract:
We calculate the third coefficient of the lattice beta function associated with the Wilson formulation for both gauge fields and fermions. This allows us to evaluate the three-loop correction (linear in $g_0^2$) to the relation between the lattice Lambda-parameter and the bare coupling $g_0$, which is important in order to verify asymptotic scaling predictions. Our calculation also leads to the two-loop relation between the coupling renormalized in the MSbar scheme and $g_0$.
The original version of this paper contained a numerical error in one of the diagrams, which has now been corrected. The calculations, as well as the layout of the paper have remained identical, but there are some important changes in the numerical results.read more
Citations
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References
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Chiral fermions on the lattice
TL;DR: In this paper, an expression for lattice efective action induced by chiral fermions in any even dimensions in terms of an overlap of two states is given, where the correct Abelian anomaly is reproduced and instantons are suppressed.
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The three-loop β-function of SU(N) lattice gauge theories with Wilson fermions
TL;DR: In this article, the third coefficient of the lattice beta function associated with the Wilson formulation for both gauge fields and fermions was calculated and a three-loop correction was performed to verify scaling predictions.
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The three-loop β function in SU( N) lattice gauge theories
TL;DR: In this paper, the third coefficient of the lattice β function in pure Yang-Mills theory was calculated by using a computer code for solving perturbation theory analytically on the Lattice.
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Λ-parameter of lattice QCD with the overlap-Dirac operator
TL;DR: In this paper, a lattice formulation of QCD using the overlap-Dirac operator and a renormalization scheme was proposed, and the necessary one-loop relation between the lattice coupling $g_0$ and the coupling renormalized in the corresponding scheme was calculated using lattice background field technique.
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