String-Like Dual Models for Scalar Theories

Abstract

We show that all tree-level amplitudes in ${\phi }^p$ scalar field theory can be represented as the ${\alpha }^{\prime }\to 0$ 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 ${\phi }^p$ scalar field theory.

15 pages, 0 figures

References in corpus (4)

• Minimal Basis for Gauge Theory Amplitudes
• The Momentum Kernel of Gauge and Gravity Theories
• Einstein-Yang-Mills Scattering Amplitudes From Scattering Equations
• Manifesting Color-Kinematics Duality in the Scattering Equation Formalism

Cited by in corpus (2)

• Combinatorics and Topology of Kawai-Lewellen-Tye Relations
• Labelled tree graphs, Feynman diagrams and disk integrals