Adèlic formulas for string amplitudes in fields of algebraic numbers

✍ Scribed by V. S. Vladimirov; T. M. Sapuzhak

• Publisher: Springer
• Year: 1996
• Tongue: English
• Weight: 296 KB
• Volume: 37
• Category: Article
• ISSN: 0377-9017
• DOI: 10.1007/bf00416026

✦ Synopsis

On the basis of the analysis on addle groups Crate's formula) for any field of algebraic numbers, a regularization of infinite ad~lic products of gamma and beta functions of local fields is proposed. The formulas obtained are applied to representations of the four-point crossing symmetric Veneziano and Virasoro-Shapiro amplitudes through regularized ad~lic products of the corresponding string (open and closed, resp.) amplitudes.