Title: Non-Linear Quantum Field Theory with Wavefunction-Based Dynamics

Jincheng Zhang

Published Sep 2, 2026• 0 citations

Abstract

This paper explores the development of a novel non-linear quantum field theory framework based on wavefunction-based dynamics. Traditional quantum field theory often struggles with the complexities of non-linear dynamics, limiting its ability to accurately model long-range correlations and predict behavior in complex systems. We propose a new method for representing field evolution using wavefunctions, incorporating key concepts from non-linear dynamics to address these challenges. This work aims to provide a mathematically rigorous approach to this crucial area of quantum field theory, offering a pathway toward improved modeling of phenomena exhibiting non-linearity. The core mechanism involves a refined representation of the field's evolution, incorporating dynamically adjusted wavefunctions to capture the inherent non-linearity. This necessitates a shift in perspective from static field equations to a dynamic, wavefunction-driven model. The resulting framework facilitates the analysis and prediction of long-range correlations, offering a significant advancement over existing techniques.

DOI: 10.5281/zenodo.22241733

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