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Published online by Cambridge University Press: 13 August 2021
After having explored various basic aspects of quantum field theory in Chapter 1 and functional methods in Chapter 2, we now turn to non-Abelian gauge theories (mostly with an SU(N) gauge group). The problems in this chapter explore various mathematical questions relevant for non-Abelian gauge theories (in particular, manipulations of su(N) generators), some questions related to their perturbative expansion, as well as some non-perturbative ones, in particular in connection with the rich structure of ground states in Yang–Mills theory.
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