The threeloop β function in SU( N) lattice gauge theories
Abstract
We calculate the third coefficient of the lattice β function in pure YangMills theory. We make use of a computer code for solving perturbation theory analytically on the lattice. We compute the divergent integrals by using a method based on a Taylor expansion of the integrand in powers of the external momenta in 4ɛ dimensions. Our results are in agreement with a previous calculation by M. Lüscher and P. Weisz where the authors used a different technique. We also show how this new coefficient modifies the scaling function on the lattice in both the standard and energy schemes. In particular we show that asymptotic scaling is extremely well achieved in the energy scheme.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1997
 DOI:
 10.1016/S05503213(97)000928
 arXiv:
 arXiv:heplat/9609025
 Bibcode:
 1997NuPhB.491..498A
 Keywords:

 High Energy Physics  Lattice
 EPrint:
 17 pages, 2 postcript files corresponding to a figure