Simplicial vs. Continuum String Theory and Loop Equations

Details Simplicial vs. Continuum String Theory and Loop Equations Simplicial vs. Continuum String Theory and Loop Equations

2005-02-19

arxiv.org/abs/hep-th/0502174v2

JETP Lett. 81 (2005) 357-360; Pisma Zh.Eksp.Teor.Fiz. 81 (2005) 445-448

Physics

High Energy Physics

High Energy Physics - Theory

6 pages

Scientific paper

10.1134/1.1951007

We derive loop equations in a scalar matrix field theory. We discuss their solutions in terms of simplicial string theory -- the theory describing embeddings of two--dimensional simplicial complexes into the space--time of the matrix field theory. This relation between the loop equations and the simplicial string theory gives further arguments that favor one of the statements of the paper hep-th/0407018. The statement is that there is an equivalence between the partition function of the simplicial string theory and the functional integral in a continuum string theory -- the theory describing embeddings of smooth two--dimensional world--sheets into the space--time of the matrix field theory in question.

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