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Gauging What's RealThe Conceptual Foundations of Gauge Theories$
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Richard Healey

Print publication date: 2007

Print ISBN-13: 9780199287963

Published to Oxford Scholarship Online: January 2008

DOI: 10.1093/acprof:oso/9780199287963.001.0001

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Quantized Yang–Mills gauge theories

Quantized Yang–Mills gauge theories

(p.129) 5 Quantized Yang–Mills gauge theories
Gauging What's Real

Richard Healey (Contributor Webpage)

Oxford University Press

This chapter explains why physics could not rest content with classical Yang-Mills theories, and shows how a classical Yang-Mills field theory may be transformed into a quantum field theory. Quantum Yang-Mills theories provide the foundation for the Standard Model of elementary particles — currently our most successful representation of the fundamental forces of nature at high energies and extremely short distances. After pointing out the difficulties for quantization posed by the gauge structure of these theories, the rest of the chapter describes several different methods for overcoming them. By doing so, it lays a technical foundation for the analysis of the rest of the book.

Keywords:   quantization, Yang-Mills, gauge theories, classical, quantum, Standard Model, force, particle, field

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