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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?

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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.

http://scitation.aip.org/content/aip/journal/jmp/12/3/10.1063/1.1665610

http://scitation.aip.org/content/aip/journal/jmp/22/8/10.1063/1.525110

You can use scholar.google.com to find many papers citing these.

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