Fluctuation-induced first-order transition in $p$-wave superconductors

The problem of a fluctuation-induced first-order transition is considered for $p$-wave superconductors. Both an $ϵ$-expansion about $d=4$ and a large-$n$ expansion conclude that the transition for the physical case $n=6$ in $d=3$ is of first order, as in the s-wave case.