Finite Volume Gauge Theory Partition Functions in Three Dimensions

Details Finite Volume Gauge Theory Partition Functions in Three Dimensions Finite Volume Gauge Theory Partition Functions in Three Dimensions

2005-04-25

arxiv.org/abs/hep-th/0504202v3

Nucl.Phys. B723 (2005) 163-197

Physics

High Energy Physics

High Energy Physics - Theory

35 pages; v2: Typos corrected, some clarifying comments added; v3: Ambiguous equations clarified, to be published in Nuclear P

Scientific paper

10.1016/j.nuclphysb.2005.06.028

We determine the fermion mass dependence of Euclidean finite volume partition functions for three-dimensional QCD in the epsilon-regime directly from the effective field theory of the pseudo-Goldstone modes by using zero-dimensional non-linear sigma-models. New results are given for an arbitrary number of flavours in all three cases of complex, pseudo-real and real fermions, extending some previous considerations based on random matrix theory. They are used to describe the microscopic spectral correlation functions and smallest eigenvalue distributions of the QCD3 Dirac operator, as well as the corresponding massive spectral sum rules.

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