Please use this identifier to cite or link to this item:
http://bura.brunel.ac.uk/handle/2438/1201
Title: | Determination of F_pi from Distributions of Dirac Operator Eigenvalues with Imaginary Density |
Authors: | Akemann, G Damgaard, PH |
Keywords: | lattice QCD;Random Two-Matrix Theory |
Issue Date: | 2007 |
Publisher: | http://uk.arxiv.org/archive/hep-lat |
Citation: | arXiv:0709.0484v1 [hep-lat] , Sep 2007 |
Series/Report no.: | Proceedings of Science;PoS(Lattice 2007)166 |
Abstract: | In the epsilon-regime of lattice QCD one can get an accurate measurement of the pion decay constant F_pi by monitoring how just one single Dirac operator eigenvalue splits into two when subjected to two different external vector sources. Because we choose imaginary chemical potentials our Dirac eigenvalues remain real. Based on the relevant chiral Random Two-Matrix Theory we derive individual eigenvalue distributions in terms of density correlations functions to leading order in the finite-volume epsilon-expansion. As a simple byproduct we also show how the associated individual Dirac eigenvalue distributions and their correlations can be computed directly from the effective chiral Lagrangian. |
URI: | http://bura.brunel.ac.uk/handle/2438/1201 |
Appears in Collections: | Mathematical Physics Dept of Mathematics Research Papers Mathematical Sciences |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
ADlat07arX.pdf | 377.09 kB | Adobe PDF | View/Open |
Items in BURA are protected by copyright, with all rights reserved, unless otherwise indicated.