5 papers · 1 filter
The renormalization group invariants and exact results for various supersymmetric theories
Konstantin Stepanyantz
Some recent all-loop results on the renormalization of supersymmetric theories are summarized and reviewed. In particular, we discuss how it is possible to construct expressions wh…
Structure of renormalization constants for theories with multiple couplings in the MS-like subtraction schemes
Gleb Kovyrshin, Nikolai Meshcheriakov, Victoria Shatalova +1
For theories with multiple couplings we construct simple expressions for the four-dimensional (or, in general, integer-dimensional) renormalization constants assuming that all dive…
Exact relations between running of and in SQCD+SQED
A. L. Kataev, K. V. Stepanyantz
In supersymmetric QCD-like theories we derive the (all-order) exact equations relating the renormalization group behaviour of the strong and electromagnetic couplings…
Exact expressions for the renormalization constants in the MS-like schemes
Konstantin Stepanyantz
We briefly review how it is possible to derive some exact expressions for the renormalization constants for the MS-like renormalization prescriptions using the arguments based on t…
Algebraic structure of the renormalization group in the renormalizable QFT theories
Andrei Kataev, Konstantin Stepanyantz
We consider the group formed by finite renormalizations as an infinite-dimensional Lie group. It is demonstrated that for the finite renormalization of the gauge coupling constant…