The QCD rotator in the chiral limit

The low lying spectrum of QCD in the delta-regime is calculated here in chiral perturbation theory up to NNL order. The spectrum has a simple form in terms of the pion decay constant F and a combination of the low energy constants Lambda1 and Lambda2. Since measuring low lying stable masses is among the easiest numerical tasks, the results should help fixing these parameters to good precision.Comment: 17 pages; typos are corrected and a paragraph added for better understanding; the present version is identical with the published paper in N.Phys.B. except a typo in eq(35) which is also corrected her

Quenched chiral perturbation theory to one loop

We calculate the divergences of the generating functional of quenched chiral perturbation theory at one loop, and renormalize the theory by an appropriate definition of the counterterms. We show that the quenched chiral logarithms can be accounted for by defining a renormalized B0 parameter which, at lowest order, is proportional to the vacuum expectation value of the scalar quark density. Finally, we calculate several quantities at one loop to better analyze the modifications induced by quenching in the ultraviolet finite part of the one-loop corrections. We point out that some of the finite loop corrections may diverge in the chiral limit.

Homeworks 1, 2, 5, And 10

In these assignments, students use the Wamesa Talking Dictionary and other related dictionaries in the Cenderawasih Bay corpus to discover the phonetics, phonology, and morphology of the Wamesa language, and to learn about digital lexicography as part of a language documentation project

Lattice calculation of the strangeness and electromagnetic nucleon form factors

We report on recent lattice QCD calculations of the strangeness magnetic moment of the nucleon and the nucleon electromagnetic form factors, when we allow the electromagnetic current to connect to quark loops as well as to the valence quarks. Our result for the strangeness magnetic moment is G_M^s(0)=-0.36+/-0.20. The sea contributions from the u and d quarks are about 80% larger. However, they cancel to a large extent due to their electric charges, resulting in a smaller net sea contribution of -0.097+/-0.037 mu_N to the nucleon magnetic moment. As far as the neutron to proton magnetic moment ratio is concerned, this sea contribution tends to cancel out the cloud-quark effect from the Z-graphs and results in a ratio of -0.68+/-0.04 which is close to the SU(6) relation and the experiment. The strangeness Sachs electric mean-square radius _E is found to be small and negative and the total sea contributes substantially to the neutron electric form factor.Comment: LATTICE98(matrixelement); 3 pages, no figures, to appear in Lattice '98 proceeding