Применение методов квантовой теории поля к задачам статистической физики, теории критических явлений и развитой турбулентности.
Основные публикации:
Антонов Н. В., Васильев А. Н., “Критическая динамика как теория поля”, ТМФ, 60:1 (1984), 59–71
Adzhemyan L. Ts., Antonov N. V., Vasil'ev A. N., “Renormalization group, operator product expansion, and anomalous scaling in a model of advected passive scalar”, Phys. Rev. E, 58 (1998), 1823–1835
N. V. Antonov, “Renormalization group, operator product expansion and anomalous scaling in models of turbulent advection”, J. Phys. A: Math. Gen., 39 (2006), 7825–7865
N. V. Antonov and A. A. Ignatieva, “Critical behaviour of a fluid in a random shear flow: Renormalization group analysis of a simplified model”, J. Phys. A: Math. Theor., 39 (2006), 13593-13620
L. Ts. Adzhemyan, N. V. Antonov et al., “Renormalization group in the infinite-dimensional turbulence: Third-order results”, J. Phys. A: Math. Theor., 41 (2008), 495002
