Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2009-10-22
PoS LAT2009:132,2009
Physics
High Energy Physics
High Energy Physics - Lattice
7 pages, a talk presented at The XXVII International Symposium on Lattice Field Theory - LAT2009, July 26-31 2009, Peking Univ
Scientific paper
We investigate the short distance behavior of the nucleon--nucleon (NN) potential defined through the Bethe-Salpeter wave function, by perturbatively calculating anomalous dimensions of 6--quark operators in QCD. Thanks to the asymptotic freedom of QCD, the 1-loop estimations give exact results for the potential in the zero distance limit. We show that the chiral symmetry of the gauge interaction implies the existence of an operator whose anomalous dimension is zero for a given quantum number. Furthermore we find that non-zero anomalous dimensions of other operators are all negative. These results predict the functional form of the NN potential at short distance, which is a little weaker than $r^{-2}$. On the other hand, the computation of the anomalous dimension spectrum alone can not determine whether the potential is repulsive or attractive at short distance. An additional analytic non-perturbative analysis suggests that the force at short distance is indeed repulsive at low energy as found numerically. Some extensions of the method are briefly discussed.
Aoki Sinya
Balog Janos
Weisz Peter
No associations
LandOfFree
The repulsive core of the NN potential and the operator product expansion 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 repulsive core of the NN potential and the operator product expansion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The repulsive core of the NN potential and the operator product expansion will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-690321