Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-07-02
Nucl.Phys. B700 (2004) 521-532
Physics
High Energy Physics
High Energy Physics - Theory
14 pages
Scientific paper
10.1016/j.nuclphysb.2004.08.013
We continue the analysis of the spectral curve of the normal random matrix ensemble, introduced in an earlier paper. Evolution of the full quantum curve is given in terms of compatibility equations of independent flows. The semiclassical limit of these flows is expressed through canonical differential forms of the spectral curve. We also prove that the semiclassical limit of the evolution equations is equivalent to Whitham hierarchy.
Agam Oded
Bettelheim Eldad
Teodorescu Razvan
Wiegmann Paul
Zabrodin Anton
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