Towards a Satisfactory Invariant Measure of Dual-Resonance Amplitudes
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概要
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An attempt is made, in the context of the integral representations of the four-point dual amplitudes, to lower the critical degree of space-time dimensions on which dual amplitudes are established. The critical dimension and the intercept of the leading Regge trajectory are determined by an invariancy (under a dual operatipn) of a differential form (including a volume element), which thus plays a role of measure. A derivation is given of a measure a la Nahm which yields the worldly dimensions in such a way that it appears as a natural generalization of that of the Neveu-Schwarz model, hence still suffering from a presence of tachyon. Its relevancy is studied within the simplest case of two off-shell dual amplitudes. Also specified is the modular group associated with the new volume element. The volume element points to a new pair of the fermi-type dynamical fields, whose construction has not, however, been tried.
- 一般社団法人日本物理学会の論文
- 1978-02-25
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