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Mathematical developments in the rise of Yang-Mills gauge theories

Koberinski, Adam (2018) Mathematical developments in the rise of Yang-Mills gauge theories. [Preprint]

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Abstract

In this paper I detail three major mathematical developments that led to the emergence of Yang-Mills theories as the foundation for the standard model of particle physics. In less than ten years, work on renormalizability, the renormalization group, and lattice quantum field theory highlighted the utility of Yang-Mills type models of quantum field theory by connecting poorly understood candidate dynamical models to emerging experimental results. I use this historical case study to provide lessons for theory construction in physics, and touch on issues related to renormalization group realism from a more historical perspective. In particular, I highlight the fact that much of the hard work in theory construction comes when trying to understand the consequences and representational capacities of a theoretical framework.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Koberinski, Adamakoberin@uwo.ca
Subjects: Specific Sciences > Physics
Specific Sciences > Physics > Quantum Field Theory
General Issues > Theory/Observation
Depositing User: Mr. Adam Koberinski
Date Deposited: 20 Dec 2018 03:01
Last Modified: 20 Dec 2018 03:01
Item ID: 15477
Subjects: Specific Sciences > Physics
Specific Sciences > Physics > Quantum Field Theory
General Issues > Theory/Observation
Date: December 2018
URI: http://philsci-archive.pitt.edu/id/eprint/15477

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