TY - JOUR

T1 - Critical behaviour of the O(n)-φ4 model with an antisymmetric tensor order parameter

AU - Antonov, N.V.

AU - Kompaniets, M.V.

AU - Lebedev, N.M.

PY - 2013

Y1 - 2013

N2 - Critical behaviour of the O(n)-symmetric φ4 model with an antisymmetric tensor order parameter is studied by means of the field theoretic renormalization group (RG) in the leading order of the ε = 4 − d expansion (one-loop approximation). For n = 2 and 3 the model is equivalent to the scalar and the O(3)-symmetric vector models; for n 4 it involves two independent interaction terms and two coupling constants. It is shown that for n > 4 the RG equations have no infrared (IR) attractive fixed points and their solutions (RG flows) leave the stability region of themodel. Thismeans that fluctuations of the order parameter change the nature of the phase transition from the second-order type (suggested by the mean-field theory) to the first-order one. For n = 4, the IR attractive fixed point exists and the IR behaviour is non-universal: if the coupling constants belong to the basin of attraction for the IR point, the phase transition is of the second order and the IR critical scaling regime is realized. The corresp

AB - Critical behaviour of the O(n)-symmetric φ4 model with an antisymmetric tensor order parameter is studied by means of the field theoretic renormalization group (RG) in the leading order of the ε = 4 − d expansion (one-loop approximation). For n = 2 and 3 the model is equivalent to the scalar and the O(3)-symmetric vector models; for n 4 it involves two independent interaction terms and two coupling constants. It is shown that for n > 4 the RG equations have no infrared (IR) attractive fixed points and their solutions (RG flows) leave the stability region of themodel. Thismeans that fluctuations of the order parameter change the nature of the phase transition from the second-order type (suggested by the mean-field theory) to the first-order one. For n = 4, the IR attractive fixed point exists and the IR behaviour is non-universal: if the coupling constants belong to the basin of attraction for the IR point, the phase transition is of the second order and the IR critical scaling regime is realized. The corresp

U2 - 10.1088/1751-8113/46/40/405002

DO - 10.1088/1751-8113/46/40/405002

M3 - Article

VL - 46

SP - 405002_1-11

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 40

ER -