Download PDFOpen PDF in browserGauge Theories, Diagrammatics, and Algebra in Quantum Field Theory: a Detailed AnalysisEasyChair Preprint 140633 pages•Date: July 21, 2024AbstractThis paper delves into the intricate mathematical structures underlying gauge theories, emphasizing diagrammatics and algebra in quantum field theory (QFT). We begin with the Chern-Simons theory, a topological quantum field theory (TQFT) with significant applications in three-dimensional manifolds and knot invariants. We then explore perturbation theory within this context, followed by a comprehensive examination of gauge theories’ algebraic structures and diagrammatic techniques. The paper is rich with advanced mathematical expressions and highly technical derivations to provide a thorough understanding of these sophisticated topics Keyphrases: Chern-Simons theory, gauge theories, perturbation theory, quantum field theory, topological invariants
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