Functional Approach to the Critical Dimension in Veneziano's Model
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概要
- 論文の詳細を見る
We give an explicit derivation of the critical dimension of space-time associated with the Veneziano model starting from the path-integral expression based on a Dirichlet-type boundary-value problem. It is shown that our expression for four-leg amplitudes happens to reduce to the beta-function formula of Veneziano only when the effective number of transverse dimensions is 24. Up to the goal, the transformation properties are not self-evident since our representation has a batch of the theta functions in the integrand. Our next concern is therefore with a discussion how the Mobius invariance or the reciprocal invariance is connected with the critical dimensionality.
- 理論物理学刊行会の論文
- 1974-09-25
著者
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MINAMI Masatsugu
Research Institute for Mathematical Sciences Kyoto University
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MINAMI Masatsugu
Research Institute for Mathematical Sciences, Kyoto University
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