QCD, Wick's theorem for KdV tau-functions and the string equation

H W Braden, A Mironov, A Morozov

Research output: Contribution to journalArticlepeer-review


Two consistency conditions for partition functions established by Akemann and Damgaard in their studies of the fermionic mass dependence of the QCD partition function at low energy (a la Leutwiller-Smilga-Verbaarschot) are interpreted in terms of integrable hierarchies. Their algebraic relation is shown to be a consequence of Wick's theorem for 2d fermionic correlators (Hirota identities) in the special case of the 2-reductions of the KP hierarchy (that is KdV/mKdV). The consistency condition involving derivatives is an incarnation of the string equation associated with the particular matrix model (the particular kind of the Kac-Schwarz operator). (C) 2001 Elsevier Science B.V. All rights reserved.

Original languageEnglish
Pages (from-to)293-298
Number of pages6
JournalPhysics Letters B
Issue number3-4
Publication statusPublished - 16 Aug 2001




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