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A dual resonance model as a Brownian process

Satoru Saito
(
- Tokyo Metropolitan U.
)

1975

21 pages

Published in:

Nucl.Phys.B 94 (1975) 344-364

Published: 1975

DOI:

10.1016/0550-3213(75)90496-4

View in:

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Abstract: (Elsevier)

A dual resonance model is formulated as a Brownian motion of strings on a flow of some material. It obeys the Mayer-Montroll equation of classical statistical mechanics which enables us to make a fugacity expansion. Certain divergences in the conventional loop expansion are absent in each term of the fugacity expansion, thus showing that the Kikkawa-Sakita-Virasoro dual amplitude is, by itself, free from these divergences, if all the diagrams are added and rearranged properly. In particular the first order term of the fugacity expansion reproduces the renormalized Neveu-Scherk one-loop amplitude, when the dimension of space-time is twelve.

References(30)

Figures(0)

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