Solving all 4-point correlation functions for bosonic open string theory in the high energy limit

TL;DR

This paper derives all 4-point correlation functions in high-energy bosonic open string theory, revealing infinite linear relations among them through algebraic methods, Virasoro constraints, and saddle-point calculations.

Contribution

It provides the first complete solution for all 4-point functions in the high-energy limit of bosonic open string theory, establishing new algebraic relations.

Findings

Infinite linear relations among 4-point functions derived

Unique algebraic solution for all 4-point functions found

Results confirmed via Virasoro constraints and saddle-point approximation

Abstract

We study the implication of decoupling zero-norm states in the high-energy limit, for the 26 dimensional bosonic open string theory. Infinitely many linear relations among 4-point functions are derived algebraically, and their unique solution is found. Equivalent results are also obtained by taking the high-energy limit of Virasoro constraints, and as an independent check, we compute all 4-point functions of 3 tachyons and an arbitrary massive state by saddle-point approximation.