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Four-dimensional gauge theories with matter can have regions in parameter space, often dubbed conformal windows, where they flow in the infrared to non-trivial conformal field theories.
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Walking dynamics has been mostly discussed within technicolor models (see [ 29 ] for a review and further references), but it can play an important role also in its modern reincarnation in terms of UV-complete composite Higgs models, as in [ 30 ]
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Stability means that the scalar potential is bounded below, to give a consistent and unitary quantum theory
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