Critical behavior ofU(n)-χ⁴-model with antisymmetric tensor order parameter coupled with magnetic field

Abstract

Abstract. The critical behavior of U(n)-χ4 -model with antisymmetric tensor order parameter at charged regime is studied by means of the field theoretic renormalization group (RG) at the leading order of ε-expansion (one-loop approximation). It is shown that RG equations have no infrared (IR) attractive charged fixed points. It is also shown that anomalous dimension of the order parameter in charged regime appears to be gauge dependent.

Stochastic Navier-Stokes Equation for a Compressible Fluid: Two-Loop Approximation

“…The paper is a continuation of previous works [12,13,14] and it is organized as follows. In the introductory Sec.…”

“…In recent years there has also been an increased research activity of compressible turbulence in magnetohydrodynamic context [4,5,6,7,8]. In this work, our aim is to study compressible turbulence [9,10], partially motivated by previous studies [11,12,13,14]. In case of a compressible medium, we are in fact examining system in which sound modes are 11 th CHAOS Conference Proceedings, 5 -8 June 2018, Rome, Italy c 2018 ISAST arXiv:1810.03462v1 [cond-mat.stat-mech] 4 Oct 2018 generated.…”