Factorization properties of critical matrix models

We argue that simple factorization effects are to work in the eigenvalue space E of one-matrix models of 2D quantum gravity and string theory. In the most straightforward cases, one can associate physical quantities to each of the scaling regions in the neighbourhood of endpoints of the arc(s) of ei...

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Bibliographic Details
Published in:Physics letters. B 1991-06, Vol.262 (1), p.18-24
Main Authors: Dalley, Simon, Johnson, Clifford, Morris, Tim
Format: Article
Language:English
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Summary:We argue that simple factorization effects are to work in the eigenvalue space E of one-matrix models of 2D quantum gravity and string theory. In the most straightforward cases, one can associate physical quantities to each of the scaling regions in the neighbourhood of endpoints of the arc(s) of eigenvalues. After clarifying how this works for the one-arc hermitian model, we treat the complex matrix model and symmetric two-arc hermitian model, the former yielding new string equations, and comment briefly on the general case.
ISSN:0370-2693
1873-2445
DOI:10.1016/0370-2693(91)90636-5