Note on a Closed String Field Theory from Bosonic IIB Matrix Model

TL;DR

This paper develops a closed string field theory from the bosonic IIB matrix model using stochastic quantization, interpreting Wilson loops as string fields and deriving their interactions with Lorentz invariance.

Contribution

It introduces a novel approach to derive a Lorentz-invariant closed string field theory from the bosonic IIB matrix model via stochastic quantization.

Findings

Constructed a collective field theory of Wilson loops.

Derived a Fokker-Planck Hamiltonian for string interactions.

Achieved a Lorentz-invariant description of interacting Wilson loops.

Abstract

We apply stochastic quantization method to the bosonic part of IIB matrix model, i.e., a naive zero volume limit of large N Yang-Mills theory, to construct a collective field theory of Wilson loops. The Langevin equation for Wilson loops can be interpreted as the time evolution of closed string fields. The corresponding Fokker-Planck hamiltonian deduces a closed string field theory which describes interacting Wilson loops with manifest Lorentz invariance.