I am looking for some notes/reviews on confinement and Higgs phases suitable for Fermionic/Bosonic matter coupled to Abelian ($Z_2$ or $U(1)$ etc) gauge fields.
The purpose is to understand issues related to strongly interacting spin systems in 1,2,3 spatial dimensions, associated phase transitions, topological order etc. I am looking for help with references from which I can self-learn the things.
I will state couple of questions to convey the level of my lack of understanding.
What is the relation between topological order and gauge theories?
Why do people talk about topological order in a system described by Maxwell Lagrangian for U(1) gauge fields considering that for real QED around us, we do not talk about topological order?
What is the difference between confinement phase and Higgs phase; how do I think of these things in a conceptually correct way (without violating Elitzur theorem)?
Some things I have found useful so far are these:
1) A question here in Phys.SE.
2) This freely available (through Springer) set of notes on confinement. Unfortunately, the stress here is on SU(3) gauge theories and QCD.