. 1 Introduction

. 2.1 Global Symmetry and the Ising Model

. 2.2 Gauge Invariance: the Unbreakable Symmetry

. 2.3 The Monte Carlo Method

. 2.4 Possible Phases of a Gauge Theory

References

. 3 What Is Confinement? (Part I)

. 3.1 Regge Trajectories, and the Spinning Stick Model

. 3.2 The Fradkin-Shenker-Osterwalder-Seiler Theorem

. 3.3 Remnant Gauge Symmetries

. 3.3.1 Landau Gauge and the Kugo-Ojima Criterion

. 3.3.2 Coulomb Confinement

. 3.3.3 Remnant Symmetry Breaking

. 3.4 Center Symmetry

References

. 4 Order Parameters for Confinement

4.1 The Wilson Loop

4.2 The Polyakov Loop

4.4 The Vortex Free Energy

4.5 Summary

. 5 Properties of the Confining Force

. References

. 6 Center Vortices I - Basics

. 6.1 The Mechanism (NEW)

. 6.2 Center Gauges and Center Projection