String field theory Hamiltonians from Yang-Mills theories

Abstract

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\"ıncides 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.

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

References in corpus (3)

• Large N Field Theories, String Theory and Gravity
• Wilson Loops and Minimal Surfaces
• The Embedding of Superstring Backgrounds in Einstein Gravity

Cited by in corpus (6)

• Gravity from CFT on $S^N(X)$ CFT: Symmetries and Interactions
• Non-linear Schroedinger Dynamics of Matrix D-branes
• Logarithmic Conformal Field Theories and Strings in Changing Backgrounds
• Exact Renormalization Group and Loop Equation
• Dynamical truncation of the string spectrum at finite N
• A toy model of Polyakov duality