Scalar Field Theory in the Derivative Expansion

Abstract

The quantum correlations of scalar fields are examined as a power series in derivatives. Recursive algebraic equations are derived and determine the amplitudes; all loop integrations are performed. This recursion contains the same information as the usual loop expansion. The approach is pragmatic and generalizable to most quantum field theories.

8 pages, 1 figure

References in corpus (4)

• Simplifying Algebra in Feynman Graphs, Part II: Spinor Helicity from the Spacecone
• Simplifying Algebra in Feynman Graphs, Part III: Massive Vectors
• On the finiteness of N=8 quantum supergravity
• M-theory and automorphic scattering

Cited by in corpus (10)

• Quantum Gravity with the Standard Model
• Integrability in String Theories
• Quantum Gauge Theory Amplitude Solutions
• Tree Amplitudes in Scalar Field Theories
• Quantum Solution to Scalar Field Theory Models
• Tree Amplitudes in Gauge and Gravity Theories
• A Format for Instantons and Their Characterizations
• N=4 S-duality Compliant Scattering and within the AdS/CFT Duality
• Simplifications of the Tensors in Quantum Scattering, Part I
• Computing K3 and CY n-fold Metrics