  Strain-controlled criticality governs the elasticity of jamming and fiber
networks. While the upper critical dimension of jamming is believed to be
$d_u$=2, non mean-field exponents are observed in numerical studies of 2D and
3D fiber networks. The origins of this remains unclear. In this study we
propose a minimal mean-field model for strain-controlled criticality of fiber
networks. We then extend this to a phenomenological field theory, in which non
mean-field behavior emerges as a result of the disorder in the network
structure. We predict that the upper critical dimension for such systems is
$d_u$=4 using a Gaussian approximation. Moreover, we identify an order
parameter for the phase transition, which has been lacking for fiber networks
to date.
