Finite Z-less integral expressions for $\beta$-functions in the MS4 scheme

Abstract

The generalized minimal subtraction scheme for ultraviolet renormalization (Kuznetsov and Tkachov, 1988) is fine-tuned with applications in mind. The resulting ${\text{MS}}^4$ scheme obviates extraneous regularizations and renders momentum integrands integrable by subtracting troublesome asymptotic terms in a physically correct fashion due to the use of special minimal subtraction operators defined congruously with the physically natural Polchinski cutoffs. A direct derivation of the Callan-Symanzik equations avoids divergent renormalization factors or counterterms, and automatically yields explicit exact finite integral expressions for renormalization group functions.

15 pages

References in corpus (2)

• A four-dimensional approach to quantum field theories
• Infrared and Ultraviolet Power Counting on the Mass Shell in Quantum Electrodynamics

Cited by in corpus (1)

• Non-renormalizable theories and finite formulation of QFT