Current algebra, infinite momentum and sum rules
We summarize results obtained so far by using an approximation called SU(3) approximation and a chiral SU(3) ⊗ SU(3) charge-charge or charge-charge density algebra. The approximation concerns the vector charge operator V K which is an SU(3) raising and lowering operator in the symmetry limit. We ass...
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Published in | Nuclear physics. B Vol. 9; no. 1; pp. 55 - 66 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Elsevier B.V
1969
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Online Access | Get full text |
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Summary: | We summarize results obtained so far by using an approximation called SU(3) approximation and a chiral SU(3) ⊗ SU(3) charge-charge or charge-charge density algebra. The approximation concerns the vector charge operator
V
K which is an SU(3) raising and lowering operator in the symmetry limit. We assume that even in broken symmetry the operator
V
K still acts as a generator, to a good approximation, in an appropriately chosen infinite momentum limit. We derive many broken SU(3) coupling constant sum rules as well as the first SU(3) and the first chiral SU(2) ⊗ SU(2) spectral function sum rules. However, we are never led to the problematic second spectral function sum rules. The inclusion of the time derivative of the operator
V
K in this approach allows us to derive not only the SU(3) mass formulae but also the SU(6)-like intermultiplet mass formulae and the sum rules involving the masses and physical coupling constants that agree rather well with experiment. |
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ISSN: | 0550-3213 1873-1562 |
DOI: | 10.1016/0550-3213(69)90154-0 |