Although current algebra is out of usage from what I hear, I think I see lots of papers (especially dealing with strong interactions) with transition amplitude written with the currents (this is based on current algebra, correct?). I do not understand these very well, so I want to find more references on this. I cannot find any good review papers; do any good review papers come to mind?
The connection with current expectations and current-current correlations is loose only.
There is no comprehensive survey article; key papers are by Goldin and coworkers.
You can use scholar.google.com to find many papers citing these.