Field Formalism for Deformation

For simplicity we write the distribution as stemming from an energy (without loss of generality as to other constraints)  

The rods must meet in an identical way in both integrals. This can be done by writing 

There still remains the issue of the topological constraints of the simple type 

When replicas are used there has to be a vl/, for the interactions are always within particular replicas it is only crosslinks which are shared between replicas. 

We have offered an outline of a complete field theoretical formulation, but one whose very precision makes it difficult to operate. We therefore turn to cruder theories which, by intuitive modeling, can give some insight into the overall properties of rigid networks. 

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