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F\_pi from individual Dirac eigenvalues at nonzero mu

Akemann, G (Brunel)
Tuesday 21 August 2007, 12:10-12:30

Seminar Room 1, Newton Institute


In the epsilon-regime of lattice QCD one can get an accurate measurement of the pion decay constant by monitoring how just one single Dirac operator eigenvalue behaves when subjected to different external vector sources. This can be done both for imaginary isospin chemical potential with real eigenvalues, as well as for real chemical potential with complex eigenvalues. We briefly sketch the formalism how to compute individual Dirac eigenvalue distributions from Random Matrix Theory and compare to Lattice data.


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