Universal and nonperturbative behavior in the oneplaquette model of twodimensional string theory
Abstract
The oneplaquette hamiltonian of large N lattice gauge theory offers a constructive model of a (1 + 1)dimensional string theory with a stable ground state. The free energy is found to be equivalent to the partition function of a string where the worldsheet is discretized by even polygons with signature and the link factor is given by a nongaussian propagator. At large, but finite, N we derive the nonperturbative density of states from the WKB wave function and the dispersion relations. This is expressible as an infinite, but convergent, series with the inverse of the hypergeometric function replacing the harmonic oscillator spectrum of the (1 + 1)dimensional string. In the scaling limit, the series is shown to be finite, containing both the perturbative (asymptotic) expansion of the inverted harmonic oscillator model, and a nonperturbative piece that survives the scaling limit.
 Publication:

Nuclear Physics B
 Pub Date:
 November 1993
 DOI:
 10.1016/05503213(93)90586E
 arXiv:
 arXiv:hepth/9305126
 Bibcode:
 1993NuPhB.409..397C
 Keywords:

 High Energy Physics  Theory
 EPrint:
 22 pages, Latex, OUHET178, UTTG1493. More references added