Critical thermodynamics of two-dimensional N-vector cubic model in the five-loop approximation

Autor: Calabrese, P., Orlov, E. V., Pakhnin, D. V., Sokolov, A. I.

Publikováno v: Condensed Matter Phys. 8 (2005) 193-211

The critical behavior of the two-dimensional N-vector cubic model is studied within the field-theoretical renormalization-group (RG) approach. The beta-functions and critical exponents are calculated in the five-loop approximation, RG series obtained

Externí odkaz: http://arxiv.org/abs/cond-mat/0509415

Five-loop renormalization-group expansions for two-dimensional Euclidean \lambda \phi^4 theory

Autor: Orlov, E. V., Sokolov, A. I.

Publikováno v: Proceedings of the XI International Seminar "Quarks-2000" (Pushkin, St.Petersburg, Russia, May 14-21, 2000), published by Institute for Nuclear Research, Moscow, 2002, pp.263-270

The renormalization-group functions of the two-dimensional n-vector \lambda \phi^4 model are calculated in the five-loop approximation. Perturbative series for the \beta-function and critical exponents are resummed by the Pade-Borel-Leroy techniques.

Externí odkaz: http://arxiv.org/abs/hep-th/0301077

Critical thermodynamics of the two-dimensional systems in five-loop renormalization-group approximation

Autor: Orlov, E. V., Sokolov, A. I.

Publikováno v: Fizika Tverdogo Tela 42, 2087 (2000) [Physics of the Solid State 42, 2151 (2000)]

The RG functions of the 2D $n$-vector $\phi^4$ model are calculated in the five-loop approximation. Perturbative series for the $\beta$ function and critical exponents are resummed by the Pade-Borel and Pade-Borel-Leroy techniques, resummation proced

Externí odkaz: http://arxiv.org/abs/hep-th/0003140

Universal effective action for O(n)-symmetric \lambda \phi^4 model from renormalization group

Autor: Sokolov, A. I., Orlov, E. V., Ul'kov, V. A., Kashtanov, S. S.

The RG expansions for renormalized coupling constants g_6 and g_8 of the 3D n-vector model are calculated in the 4-loop and 3-loop approximations respectively. Resummation of the RG series for g_6 by the Pade-Borel-Leroy technique results in the esti

Externí odkaz: http://arxiv.org/abs/hep-th/9808011

Universal sextic effective interaction at criticality

Autor: Sokolov, A. I., Orlov, E. V., Ul'kov, V. A.

Publikováno v: Phys.Lett. A227 (1997) 255-258

The renormalization group approach in three dimensions is used to estimate the universal critical value g_6^* of the dimensionless sextic effective coupling constant for the Ising model. The four-loop RG expansion for g_6 is calculated and resummed b

Externí odkaz: http://arxiv.org/abs/cond-mat/9803357