44 citations · 124 across the 11 of their papers we have counts for
4 papers · 1 filter
Four-loop critical properties of polymerized membranes
Andrey Pikelner
We calculate four-loop order corrections to the critical exponent in the two-field model of flat phase membranes. Obtained results show better agreement with the other calculat…
Four-Loop Gauge and Three-Loop Yukawa Beta-Functions in a General Renormalizable Theory
Alexander Bednyakov, Andrey Pikelner
We present the beta functions of gauge and Yukawa couplings in general four-dimensional quantum field theory, at four and three loops, respectively. The essence of our approach is…
Three-loop vertex integrals at symmetric point
Andrey Pikelner
This paper provides details of the massless three-loop three-point integrals calculation at the symmetric point. Our work aimed to extend known two-loop results for such integrals…
Six-loop beta functions in general scalar theory
Alexander Bednyakov, Andrey Pikelner
We consider general renormalizable scalar field theory and derive six-loop beta functions for all parameters in d = 4 dimensions within the -scheme. We do not explic…