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Higher Genus Correlators for the Complex Matrix Model | | J. Ambjorn
; C.F. Kristjansen
; Y.M. Makeenko
; | | Date: |
8 Jul 1992 | | Journal: | Mod.Phys.Lett. A7 (1992) 3187-3202 | | Subject: | hep-th | | Abstract: | We describe an iterative scheme which allows us to calculate any multi-loop correlator for the complex matrix model to any genus using only the first in the chain of loop equations. The method works for a completely general potential and the results contain no explicit reference to the couplings. The genus $g$ contribution to the $m$--loop correlator depends on a finite number of parameters, namely at most $4g-2+m$. We find the generating functional explicitly up to genus three. We show as well that the model is equivalent to an external field problem for the complex matrix model with a logarithmic potential. | | Source: | arXiv, hep-th/9207020 | | Services: | Forum | Review | PDF | Favorites | |
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