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

EasyChair Preprint 14063

3 pagesDate: July 21, 2024

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

BibTeX entry
BibTeX does not have the right entry for preprints. This is a hack for producing the correct reference:
@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}}
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