Recurrence relations of Kummer functions and Regge string scattering amplitudes

被引：21

作者：

Lee, Jen-Chi ^{[1
]}

Mitsuka, Yoshihiro

机构：

[1] Natl Chiao Tung Univ, Dept Electrophys, Hsinchu 30050, Taiwan

来源：

JOURNAL OF HIGH ENERGY PHYSICS | 2013年 / 04期

关键词：

Bosonic Strings; Scattering Amplitudes; HIGH-ENERGY SYMMETRIES; ZERO-NORM STATES; SUPERSTRING COLLISIONS; UNITARITY; BEHAVIOR; GRAVITY;

D O I：

10.1007/JHEP04(2013)082

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

We discover an infinite number of recurrence relations among Regge string scattering amplitudes [11, 30] of different string states at arbitrary mass levels in the open bosonic string theory. As a result, all Regge string scattering amplitudes can be algebraically solved up to multiplicative factors. Instead of decoupling zero-norm states in the fixed angle regime, the calculation is based on recurrence relations and addition theorem of Kummer functions of the second kind. These recurrence relations among Regge string scattering amplitudes are dual to linear relations or symmetries among high-energy fixed angle string scattering amplitudes discovered previously.

引用

页数：23

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