String field theory Hamiltonians from Yang-Mills theories

Marchesini showed that the Fokker-Planck Hamiltonian for Yang-Mills theories is the loop operator. Jevicki and Rodrigues showed that the Fokker-Planck Hamiltonian of some matrix models coï ncides with temporal gauge non-critical string field theory Hamiltonians constructed by Ishibashi and Kawai (and their collaborators). Thus the loop operator for Yang-Mills theory is the temporal gauge Hamiltonian for a noncritical string field theory. The consistency condition of the string interpretation is the zigzag symmetry emphasized by Polyakov. Thus the appropriate starting point for a worldsheet description of the Yang-Mills string may be temporal gauge