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Computation of the Running Coupling in the SU(2) Yang-Mills Theory | | Martin Lüscher
; Peter Weisz
; Rainer Sommer
; Ulli Wolff
; | | Date: |
9 Jul 1992 | | Journal: | Nucl. Phys. B389 (1993) 247 | | Abstract: | A finite-size scaling technique is applied to the SU(2) gauge theory (without matter fields) to compute a non-perturbatively defined running coupling alpha(q) for a range of momenta q given in units of the string tension K. We find that already at rather low q, the evolution of alpha(q) is well described by the 2-loop approximation to the Callan-Symanzik beta-function. At the highest momentum reached, q=20 sqrt(K), we obtain alpha_MSbar(q)=0.187 +/- 0.005 +/- 0.009 for the running coupling in the MSbar scheme of dimensional regularization. | | Source: | arXiv, hep-lat/9207010 | | Services: | Forum | Review | PDF | Favorites | |
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