M. Kompaniets

collaborators

3 papers

hep-th2026

On the six-loop scaling dimensions of the $(I ¨ ^{2})^{n}$ operators in $d = 3$

A. V. Bednyakov, M. V. Kompaniets, A. V. Trenogin

We consider a class of singlet operators $(I ¨ ^{2})^{n}$ in the three-dimensional $O (N)$ model with $I^»^{2} I ¨ ^{6}$ interaction. Recently, the corresponding anomalous dimensions $I^_{2 n}^{3}$ w…

cond-mat.stat-mech2025

Multiloop calculations with parametric integration in critical dynamics: the four-loop analytic study of model A of $I ¨ ^{4}$ theory

Loran Ts. Adzhemyan, Diana A. Davletbaeva, Daniil A. Evdokimov +1

We perform an analytical four loop calculation of exponent $z$ in model A of critical dynamics in $d = 4 - 2 ε$ dimensions. This is the first time such a large order of pertur…

cond-mat.stat-mech2025

Field-theoretic Analysis of Dynamic Isotropic Percolation: Three-loop Approximation

Michal HnatiÄ, Matej Kecer, Mikhail V. Kompaniets +3

The general epidemic process is a paradigmatic model in non-equilibrium statistical physics displaying a continuous phase transition between active and absorbing states.The dynamic…

On the six-loop scaling dimensions of the (I¨2)n operators in d=3

Multiloop calculations with parametric integration in critical dynamics: the four-loop analytic study of model A of I¨4 theory

Field-theoretic Analysis of Dynamic Isotropic Percolation: Three-loop Approximation

On the six-loop scaling dimensions of the $(I ¨ ^{2})^{n}$ operators in $d = 3$

Multiloop calculations with parametric integration in critical dynamics: the four-loop analytic study of model A of $I ¨ ^{4}$ theory