A Deep Investigation of Non-Perturbative QCD via Exponential and Laurent Series Structures

This paper presents a deep and formal investigation of non-perturbative aspects in Quantum Chromodynamics (QCD) through the lens of complex analysis, exponential functions, and Laurent series structures. We systematically adapt and prove eight advanced properties relating path integrals, Laurent expansions, and exponential forms in the context of QCD, drawing connections to transcendence, algebraic structures, and the nature of mathematical instability in non-perturbative regimes. The analysis highlights the broader landscape of residues, transcendental functions, and the algebraic field of Laurent series in non-perturbative QCD, offering both theoretical rigor and foundational insights into phenomena such as quark confinement and chiral symmetry breaking. Supplementary Material File (sdlx.pdf) - Download - 285.07 KB Information & Authors Information Version history Copyright This work is licensed under a Non Exclusive No Reuse License.

Authors Metrics & Citations Metrics Article Usage 128views 81downloads Citations Download citation Wen-Xiang Chen. A Deep Investigation of Non-Perturbative QCD via Exponential and Laurent Series Structures. Authorea. 10 November 2025. DOI: https://doi.org/10.22541/au.176281750.07456938/v1 DOI: https://doi.org/10.22541/au.176281750.07456938/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. For more information or tips please see 'Downloading to a citation manager' in the Help menu.