String-Like Dual Models for Scalar Theories

Understand

We show that all tree-level amplitudes in $\varphi^p$ scalar field theory can be represented as the $\alpha'\to0$ limit of an $SL(2,R)$-invariant, string-theory-like dual model integral.

• These dual models are constructed according to constraints that admit families of solutions.
• We derive these dual models, and give closed formulae for all tree-level amplitudes of any $\varphi^p$ scalar field theory.