A new way to set the energy scale in lattice gauge theories and its application to the static force and σ_{s} in SU (2) YangMills theory
Abstract
We introduce a hadronic scale R_{0} through the force F( r) between static quarks at intermediate distances r. The definition F( R_{0}) R_{0}^{2} = 1.65 amounts to R_{0} ≅ 0.5 fm in phenomenological potential models. Since R_{0} is well defined and can be calculated accurately in a Monte Carlo simulation, it is an ideal quantity to set the scale. In SU (2) pure gauge theory, we use new data (and R_{0} to set the scale) to extrapolate F( r) to the continuum limit for distances r = 0.18 fm to r = 1.1 fm. Through R_{0} we determine the energy scale in the recently calculated running coupling, which used the recursive finite size technique to reach large energy scales. Also in this case, the lattice data can be extrapolated to the continuum limit. The use of one loop Symanzik improvement is seen to reduce the lattice spacing dependence significantly.
 Publication:

Nuclear Physics B
 Pub Date:
 January 1994
 DOI:
 10.1016/05503213(94)904731
 arXiv:
 arXiv:heplat/9310022
 Bibcode:
 1994NuPhB.411..839S
 Keywords:

 High Energy Physics  Lattice
 EPrint:
 accepted in Nucl. Phys. B, 18 pages postscriptfile with all figures