Various perturbation series are factorially divergent. The behavior of their high-order terms
can be determined by Lipatov's method, which involves the use of instanton configurations …

We calculate the static critical behavior of systems of O (n∥)⊕ O (n⊥) symmetry by the
renormalization group method within the minimal subtraction scheme in two-loop order …

We show that the critical behavior of two-and three-dimensional frustrated magnets cannot
reliably be described from the known five-and six-loop perturbative renormalization-group …

We determine the crossover exponents associated with the traceless tensorial quadratic
field and the third-and fourth-harmonic operators for O (n) vector models by reanalyzing the …

We study a stability boundary of a region where nontrivial critical behavior of an n-vector
model with long-range power-law decaying interactions is induced by the presence of a …

We analyze the validity of perturbative renormalization group estimates obtained within the
fixed dimension approach of frustrated magnets. We reconsider the resummed five-loop β …

We reconsider the mean-field Potts model with q interacting and r non-interacting (invisible)
states. The model was recently introduced to explain discrepancies between theoretical …

We investigate the asymptotic and effective static and dynamic critical behavior of (d= 3)-
dimensional magnets with quenched extended defects, correlated in ε d dimensions (which …

We consider the critical behavior of the most general system of two N-vector order
parameters that is O (N) invariant. We show that it may a have a multicritical transition with …

Critical fluctuations change the effective anisotropy of cubic ferromagnet near the Curie
point. If the crystal undergoes phase transition into orthorhombic phase and the initial …