By Bethe H., Schweber S.
ISBN-10: 1331843804
ISBN-13: 9781331843801
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Additional resources for Mesons and fields, vol.1 (1955)
Example text
We loose a lot of information from the geometry and the only guideline will be the non-linearly realized superPoincar´e algebra. However, it is important to view these very important theories from different angles and for certain question this formulation is the most adequate one. In this talk I will start from the beginning to build up light-cone field theories and then go over to the supersymmetric ones. I will start the analysis in four dimensions of space–time and then ‘oxidize’ them to higher dimensions keeping the specific form of the superfields.
N! n! (47) The helicity in the field goes from 2 to −2 and the theory has a spectrum comprised of a metric, 28 vector fields, 70 scalar fields, 56 spin one-half fields and 8 spin three-half fields. This theory is the maximal supergravity theory in d = 4. c. 2 ∂ +2 + O(g2 ). (48) The four-point coupling was finally found a few years ago [17]. It is however quite complicated and reflects the fact that the ∂ + -derivatives can be sprinkled out in very many ways. It is remarkable though, that the actions for the maximally supersymmetric Yang–Mills theory and supergravity theory are so similar.
We have not found any other theory with this property which again renders the two models to behave very similarly and to have unique properties. Note that this is not the same as the statement that the Hamiltonian satisfies √ ¯ H = −2 2{Qm − , Q−m }. (55) 4 Light-Frame Formulations of Higher Dimensional Theories The procedure to find representations of the Poincar´e algebra that we have followed in the previous section can, of course, be extended to field theories in dimensions of space–time higher than four.
Mesons and fields, vol.1 (1955) by Bethe H., Schweber S.
by Kenneth
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