In elementary treatments of Wilsonian approach to renormalization group (for example in Peskin & Schroeder, Srednicki, Schwartz, etc.), everybody after chapters of seemless use of dimensional regularization for perturbative renormalization suddenly starts using oldschool hard cutoff which violates Ward identities in QED amongst other things. Is dimensional regularization technicall/conceptually hard or just impossible to use with Wilsonian renormalization approach? Is it avoided because to simplify discussions because the main idea remains the same?
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