Recurrence relations of Kummer functions and Regge string scattering amplitudes

Jen-Chi Lee, Yoshihiro Mitsuka

Research output: Contribution to journalArticle

7 Scopus citations

Abstract

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.

Original languageEnglish
Article number082
Pages (from-to)1-22
Number of pages22
JournalJournal of High Energy Physics
Volume2013
Issue number4
DOIs
StatePublished - 1 Jan 2013

Keywords

  • Bosonic Strings
  • Scattering Amplitudes

Fingerprint Dive into the research topics of 'Recurrence relations of Kummer functions and Regge string scattering amplitudes'. Together they form a unique fingerprint.

  • Cite this