Path Integral Quantization of Self Interacting Scalar Field with Higher Derivatives

TL;DR

This paper develops a Hamiltonian path integral approach to quantize scalar fields with higher derivatives, treating derivatives as independent variables, and derives explicit propagators and Feynman diagrams for $$ theory.

Contribution

It introduces a novel quantization method for higher-derivative scalar fields by considering derivatives as independent variables, leading to explicit functional expressions.

Findings

Derived explicit propagators for higher-derivative scalar fields

Formulated Feynman diagrams within the $$ theory context

Established a Hamiltonian path integral framework for such systems

Abstract

Scalar field systems containing higher derivatives are studied and quantized by Hamiltonian path integral formalism. A new point to previous quantization methods is that field functions and their derivatives with time are considered as independent canonical variables. Consequently, generating functional, explicit expressions of propagators and Feynman diagrams in $\phi^3$ theory are found