Finite volume gauge theory partition functions in three dimensions

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Abstract

We determine the fermion mass dependence of Euclidean finite volume partition functions for three-dimensional QCD in the ?-regime directly from the effective field theory of the pseudo-Goldstone modes by using zero-dimensional non-linear s-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. © 2005 Elsevier B.V. All rights reserved.

Original languageEnglish
Pages (from-to)163-197
Number of pages35
JournalNuclear Physics B
Volume723
Issue number1-2
DOIs
Publication statusPublished - 5 Sep 2005

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