Character Expansions , Itzykzon - Zuber Integrals , and the QCD Partition Function
نویسنده
چکیده
A combinatorial formula to generate U (N) character expansions is presented. It is shown that the resulting character expansion formulas greatly simplify a number of problems where integrals over the group manifolds need to be calculated. Several examples are given, including direct and very quick calculations of the Itzykson-Zuber integral and the finite volume effective partition function of QCD in the sector with a given topological charge.
منابع مشابه
1 v 3 1 9 Ju n 20 01 Character Expansions , Itzykson - Zuber Integrals , and the QCD Partition Function
A combinatorial formula to generate U (N) character expansions is presented. It is shown that the resulting character expansion formulas greatly simplify a number of problems where integrals over the group manifolds need to be calculated. Several examples are given, including direct and very quick calculations of the Itzykson-Zuber integral and the finite volume effective partition function of ...
متن کامل0 Character Expansions , Itykzon - Zuber Integrals , and the QCD Partition Function
A combinatorial formula to generate U (N) character expansions is presented. It is shown that the resulting character expansion formulas greatly simplify a number of problems where integrals over the group manifolds need to be calculated. Several examples are given, including direct and very quick calculations of the Itzykson-Zuber integral and the finite volume effective partition function of ...
متن کاملFinite 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...
متن کاملMicroscopic Spectrum of the QCD Dirac Operator in Three Dimensions
The microscopic spectral correlators of the Dirac operator in three-dimensional Yang-Mills theory coupled to fundamental fermions and with three or more colours are derived from the supersymmetric formulation of partially quenched effective Lagrangians. The flavour supersymmetry breaking patterns are appropriately identified and used to calculate the corresponding finite volume partition functi...
متن کامل