Effective QCD Partition Function in Sectors with Non-Zero Topological Charge and Itzykson-Zuber Type Integral
نویسندگان
چکیده
It was conjectured by Jackson et.al. that the finite volume effective partition function of QCD with the topological charge M − N coincides with the Itzyskon-Zuber type integral for M × N rectangular matrices. In the present article we give a proof of this conjecture, in which the original Itzykson-Zuber integral is utilized.
منابع مشابه
Finite volume partition functions and Itzykson - Zuber integrals
We find the finite volume QCD partition function for different quark masses. This is a generalization of a result obtained by Leutwyler and Smilga for equal quark masses. Our result is derived in the sector of zero topological charge using a generalization of the Itzykson-Zuber integral appropriate for arbitrary complex matrices. We present a conjecture regarding the result for arbitrary topolo...
متن کاملar X iv : h ep - t h / 96 05 18 3 v 1 2 6 M ay 1 99 6 SUNY - NTG - 96 / 29 Finite volume partition functions and Itzykson - Zuber integrals
We find the finite volume QCD partition function for different quark masses. This is a generalization of a result obtained by Leutwyler and Smilga for equal quark masses. Our result is derived in the sector of zero topological charge using a generalization of the Itzykson-Zuber integral appropriate for arbitrary complex matrices. We present a conjecture regarding the result for arbitrary topolo...
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