String field theory Hamiltonians from Yang-Mills theories

Details String field theory Hamiltonians from Yang-Mills theories String field theory Hamiltonians from Yang-Mills theories

1999-06-07

arxiv.org/abs/hep-th/9906052v3

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, RevTeX; more discussion of worldsheet implications, several important references, possible relation to work of Dorey

Scientific paper

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 co\"\i 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, in accord with Polyakov's conjecture. The consistency condition of the string interpretation is the zigzag symmetry emphasized by Polyakov. Several aspects of the noncritical string theory are considered, relating the string field theory Hamiltonian to the worldsheet description.

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