Spectral sum rules and finite volume partition function in gauge theories with real and pseudoreal fermions

Details Spectral sum rules and finite volume partition function in gauge theories with real and pseudoreal fermions Spectral sum rules and finite volume partition function in gauge theories with real and pseudoreal fermions

1994-04-06

arxiv.org/abs/hep-th/9404031v1

Phys.Rev.D51:829-837,1995

Physics

High Energy Physics

High Energy Physics - Theory

22p., SUNY-NTG-94/18, TPI-MINN-94/10-T

Scientific paper

10.1103/PhysRevD.51.829

Based on the chiral symmetry breaking pattern and the corresponding low-energy effective lagrangian, we determine the fermion mass dependence of the partition function and derive sum rules for eigenvalues of the QCD Dirac operator in finite Euclidean volume. Results are given for $N_c = 2$ and for Yang-Mills theory coupled to several light adjoint Majorana fermions. They coincide with those derived earlier in the framework of random matrix theory.

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