Reciprocal Symmetries of the Dual-Resonance Propagators
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概要
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It is explicitly shown that integral expressions of the dual-resonance propagators defined on two-dimensional (one-"space" and one-"time") media exhibit a detailed symmetry when the "space" axis and the "time" axis are interchanged in some sense with each other. For example, the dual-resonance propagator in momentum space proves to get a parametric integral representation of the form quite similar to the representation of the position-space propagator through this interchange. In particular, this reciprocal symmetry is shown to have an interesting connection with the recently known critical dimension of space for which no ghosts appear. It is likely that the symmetry has its origin in a graph-theoretical duality inherent in two-dimensional planar media, but its prototype may also be found in the well-known properties of the conventional Feynman propagators.
- 理論物理学刊行会の論文
- 1973-12-25
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