Six-loop $\varepsilon$ expansion study of three-dimensional $n$-vector model with cubic anisotropy

Understand

The six-loop expansions of the renormalization-group functions of $\varphi^4$ $n$-vector model with cubic anisotropy are calculated within the minimal subtraction (MS) scheme in $4 - \varepsilon$ dimensions.

• The $\varepsilon$ expansions for the cubic fixed point coordinates, critical exponents corresponding to the cubic universality class and marginal order parameter dimensionality $n_c$ separating different regimes of critical behavior are presented.
• Since the $\varepsilon$ expansions are divergent numerical estimates of the quantities of interest are obtained employing proper resummation techniques.
• The numbers found are compared with their counterparts obtained earlier within various field-theoretical approaches and by lattice calculations.