著者

Takabayasi Takehiko

出版者

一般社団法人日本物理学会

雑誌

理論物理学の進歩 (ISSN:0033068X)

巻号頁・発行日

vol.47, no.3, pp.1026-1046, 1972-03-25

被引用文献数

2

---

The theory of detailed wave equation (DWE), which represents relativistic quantum dynamics of an extended system with external interaction for a specific value of Regge intercept, avoiding ghost states and leading to dual amplitude, is further developed in several respects. The original formulation (the σ-formalism) for the string model is transcribed into a few equivalent formalisms. In the λ-formalism the invariance of DWE against the "Hilbert transform" becomes manifest. Finite "gauge transformations", under which the theory is invariant, are explicitly obtained for the consideration of their structural meaning. The original string model is generalized to the hybrid model, where each element constituting the string is endowed with internal "Fermi oscillator variables", in the framework of DWE, which now fixes the Regge intercept at the value lower than the original one by 1/2 unit or its multiples. In particular the hybrid model with vector Fermi variables, which implies "double-string" consisting of Dirac-like elements, is treated, where our vector Fermi variables differ from those in similar models by other authors with respect to their reality and Lorentz properties and are free from the introduction of additional indefinite metric. Moreover our theory is invariant under space reflection.