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Yang-Mills Theory

Yang-Mills Theory is the foundation of the Standard Model that Superphysics aims to replace with the 5 Elements Model of Descartes

Lie Groups and Lie Algebra

Section 1

The Action Principle

Section 2

Gauge Symmetry

Section 3

Wilson Lines and Wilson Loops

Section 4

Quantising the Colour Degree of Freedom

Section 5

The Path Integral over the Colour Degrees of Freedom

Section 6

Canonical Quantisation of Yang-Mills

Section 7

Building the Hilbert Space

Section 8

Is the Chern-Simons Functional Gauge Invariant?

Section 9

The Chern-Simons Functional is not Gauge Invariant!

Section 10

The Theta Angle as a “Hidden” Parameter

Section 11

What are Instantons?

Section 12

A Single Instanton in SU (2)

Section 13

General Instanton Solutions

Section 14

Instanton Contributions to the Path Integral

Section 15

The Flow to Strong Coupling

Section 16

Anti-Screening and Paramagnetism

Section 17

Computing the Beta Function

Section 18

One-Loop Determinants

Section 19

The Gauge Contribution

Section 20

Electric Probes and Coulomb Versus Confining

Section 21

Non-Abelian Coulomb Force

Section 22

Flux Lines in a Superconductor

Section 23

Type I, Type II and Bogomonlyi

Section 24