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http://bura.brunel.ac.uk/handle/2438/450
Title: | Unquenched QCD dirac operator spectra at nonzero baryon chemical potential |
Authors: | Akemann, G Osborn, J C Splittorff, K Verbaarschot, J J M |
Keywords: | High energy physics - theory;Disordered systems and neural networks;Mathematical physics |
Issue Date: | 2004 |
Publisher: | Elsevier |
Citation: | Nuclear Physics B. 712:287-324, Nov 2005 |
Abstract: | The microscopic spectral density of the QCD Dirac operator at nonzero baryon chemical potential for an arbitrary number of quark flavors was derived recently from a random matrix model with the global symmetries of QCD. In this paper we show that these results and extensions thereof can be obtained from the replica limit of a Toda lattice equation. This naturally leads to a factorized form into bosonic and fermionic QCD-like partition functions. In the microscopic limit these partition functions are given by the static limit of a chiral Lagrangian that follows from the symmetry breaking pattern. In particular, we elucidate the role of the singularity of the bosonic partition function in the orthogonal polynomials approach. A detailed discussion of the spectral density for one and two flavors is given. |
URI: | http://bura.brunel.ac.uk/handle/2438/450 |
DOI: | http://dx.doi.org/doi:10.1016/j.nuclphysb.2005.01.018 |
Appears in Collections: | Dept of Mathematics Research Papers Mathematical Sciences |
Files in This Item:
File | Description | Size | Format | |
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Unquenched QCD.pdf | 646.04 kB | Adobe PDF | View/Open |
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