Quantum field theory without renormalization theory and without non-perturbative methods is a very formal structure and set of tools. The renormalization group and non-perturbative methods give it profound meaning and purpose. Volume 2 provides a thorough presentation of the standard model, lattice field theory, topological field configurations, supersymmetry and the AdS/CFT correspondence, and it includes a systematic introduction to the functional renormalization group equation with application in noncommutative scalar field theory. Some non-perturbative methods, which allow exact solutions in lower dimensions, or due to the larger amount of symmetries involved, are also discussed.
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