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Analysis of Singularity Types, Residues, and Winding Numbers in Quantum Field Theory

24 March 2025, Version 1
Working Paper
This content is an early or alternative research output and has not been peer-reviewed by Cambridge University Press at the time of posting.

Abstract

In quantum field theory, using the types of singularities, residues, and winding numbers from Laurent series expansions to describe different types of quantum fields is an effective and profound mathematical tool. This paper will explore how these mathematical concepts are used to distinguish the properties of scalar fields, vector fields, and spinor fields, and further analyze their representation and computation in Feynman diagrams.

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Version History

Mar 24, 2025 Version 1

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License

All Rights Reserved

DOI

10.33774/coe-2025-h89b2
D O I: 10.33774/coe-2025-h89b2 [opens in a new tab]

Author’s competing interest statement

The author(s) have declared they have no conflict of interest with regard to this content

Ethics

The author(s) declare that they have sought and gained approval from the relevant ethics committee/IRB for this research and its publication.

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