Since Wilson work in the 70s, the renormalization technique in QFT is physically justified with the concept of scale dependence(scale anomaly) of the parameters.
This apparently is akin to a universal version of the characteristic length usually applied to specific physical systems to define their scale.
Can anybody explain how is this scale dependence introduced(independently of the specific procedure:perturbative cutoff, dimensional, lattice...)? Where does it come from?
Does the Haag's theorem imply that this scale dependence technique is not even related to the QFT lagrangian?
This apparently is akin to a universal version of the characteristic length usually applied to specific physical systems to define their scale.
Can anybody explain how is this scale dependence introduced(independently of the specific procedure:perturbative cutoff, dimensional, lattice...)? Where does it come from?
Does the Haag's theorem imply that this scale dependence technique is not even related to the QFT lagrangian?
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