388 citations · 1k across the 46 of their papers we have counts for
5 papers · 1 filter
Finite Z-less integral expressions for -functions in the MS4 scheme
N. D. Lenshina, A. A. Radionov, F. V. Tkachov
The generalized minimal subtraction scheme for ultraviolet renormalization (Kuznetsov and Tkachov, 1988) is fine-tuned with applications in mind. The resulting scheme…
Partial D-operators for the generalized IBP reduction
A. A. Radionov, F. V. Tkachov
Empirical evidence reveals existence of partial D-operators for the generalized IBP (BT) reduction algorithms that are, counterintuitively, much simpler and much easier to find tha…
Breaking the 2-loop barrier for generalized IBP reduction
A. A. Radionov, F. V. Tkachov
We discuss the problem of constructing differential operators for the generalized IBP reduction algorithms at the 2-loop level. A deeply optimized software allows one to efficientl…
Quantum scale-invariant models as effective field theories
M. E. Shaposhnikov, F. V. Tkachov
We address the question of whether the quantum scale-invariant theories introduced in [1] are renormalizable or play the role of effective field theories that are valid below the P…
Distribution-theoretic methods in quantum field theory
F. V. Tkachov
The evolution of the distribution-theoretic methods in perturbative quantum field theory is reviewed starting from Bogolyubov's pioneering 1952 work with emphasis on the theory and…