Twisting Invariant Factorization in Dual Resonance Model. I : The Gauge Property and the Loop Amplitudes
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We propose the factorization of multi-point dual resonance model in new basis vectors which are eigenstates of twisting transformation. In this factorization the twisting operator has a simple form, and it is easily seen that the generator of infinitesimal gauge transformation changes sign under the twisting transformation. It is easy to calculate the non-planar loop amplitudes without contribution of the spurious states in this factorization. We find that by inserting the projection operator the divergence is decreased only by one power for the non-planar loop amplitudes with even numbers of twisting operators, and the divergence is not decreased at all for the non-planar loop amplitude with odd numbers of twisting operators.
- 理論物理学刊行会の論文
- 1970-10-25
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