String-Like Dual Models for Scalar Theories

TL;DR

This paper introduces a string-theory-inspired dual model framework that accurately computes all tree-level amplitudes in scalar $\

Contribution

It provides a novel dual model construction and closed-form formulas for tree-level amplitudes in $\\varphi^p$ scalar theories, unifying them under a string-like integral representation.

Findings

All tree-level amplitudes can be derived from the dual models.

Derived closed-form expressions for amplitudes in any $\\varphi^p$ theory.

Established a connection between scalar field theories and string-like dual models.

Abstract

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.