Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2008-05-19
Phys.Lett.B668:226-232,2008
Physics
High Energy Physics
High Energy Physics - Lattice
Substantially modified version, with revised error analysis, large N extrapolation and conclusions; to appear on PLB
Scientific paper
10.1016/j.physletb.2008.08.047
The running of the coupling is studied in SU(4) gauge theory using the Schr\"odinger functional technique. Up to energies of the order of the square root of the string tension $\sigma$, the running is found to agree with the two-loop perturbative formula. Relating the perturbative to the non-perturbative regime of the running and converting to the $\msbar$ scheme allows one to extract the ratio $\Lambda_{\msbar}/\sqrt{\sigma}$. The result is then used in combination with similar calculations present in the literature for SU(2) and SU(3) to extract $\Lambda_{\msbar}/\sqrt{\sigma}$ in the large $N$ limit. Our results for $N=3,4$ agree with a recent study of the same quantity performed using the Parisi mean field scheme as an intermediate scheme, while $\Lambda_{\msbar}/\sqrt{\sigma}$ in SU(2) turns out to differ by 2.5%. Possible explanations of this discrepancy are discussed.
Lucini Biagio
Moraitis Gregory
No associations
LandOfFree
The running of the coupling in SU(N) pure gauge theories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with The running of the coupling in SU(N) pure gauge theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The running of the coupling in SU(N) pure gauge theories will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-648465