String-Like Dual Models for Scalar Theories

We show that all tree-level amplitudes in $φ^p$ scalar field theory can be represented as the $α'\to0$ 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 $φ^p$ scalar field theory.

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