Gauge Theories, Diagrammatics, and Algebra in Quantum Field Theory: a Detailed Analysis

EasyChair Preprint 14063

Abstract

This 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

@booklet{EasyChair:14063,
  author    = {Vaidik A Sharma},
  title     = {Gauge Theories, Diagrammatics, and Algebra in Quantum Field Theory: a Detailed Analysis},
  howpublished = {EasyChair Preprint 14063},
  year      = {EasyChair, 2024}}