Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1998-01-09
Nucl.Phys. B525 (1998) 387-400; Erratum-ibid. B608 (2001) 479-480
Physics
High Energy Physics
High Energy Physics - Lattice
One 14-page LaTeX file, one PostScript file containing 2 figures. Corrected a numerical error in one of the diagrams. The calc
Scientific paper
10.1016/S0550-3213(98)00248-X
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.
Christou C.
Feo Alessandra
Panagopoulos Haralambos
Vicari Ettore
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