Abstract
We introduce a new non-Hermitian random-matrix model for QCD with a baryon chemical potential. This model is a direct chiral extension of a previously studied model that interpolates between the Wigner-Dyson and Ginibre ensembles. We present exact results for all eigenvalue correlations for any number of quark flavors using the orthogonal polynomial method. We also find that the parameters of the model can be scaled to remove the effects of the chemical potential from all thermodynamic quantities until the finite density phase transition is reached. This makes the model and its extensions well suited for studying the phase diagram of QCD.
Osborn, James C
[1]
- Physics Department, University of Utah, Salt Lake City, UT 84112 (United States)
Citation Formats
Osborn, James C.
Universal results from an alternate random-matrix model for QCD with a baryon chemical potential.
United States: N. p.,
2004.
Web.
doi:10.1103/PhysRevLett.93.222001.
Osborn, James C.
Universal results from an alternate random-matrix model for QCD with a baryon chemical potential.
United States.
https://doi.org/10.1103/PhysRevLett.93.222001
Osborn, James C.
2004.
"Universal results from an alternate random-matrix model for QCD with a baryon chemical potential."
United States.
https://doi.org/10.1103/PhysRevLett.93.222001.
@misc{etde_20621506,
title = {Universal results from an alternate random-matrix model for QCD with a baryon chemical potential}
author = {Osborn, James C}
abstractNote = {We introduce a new non-Hermitian random-matrix model for QCD with a baryon chemical potential. This model is a direct chiral extension of a previously studied model that interpolates between the Wigner-Dyson and Ginibre ensembles. We present exact results for all eigenvalue correlations for any number of quark flavors using the orthogonal polynomial method. We also find that the parameters of the model can be scaled to remove the effects of the chemical potential from all thermodynamic quantities until the finite density phase transition is reached. This makes the model and its extensions well suited for studying the phase diagram of QCD.}
doi = {10.1103/PhysRevLett.93.222001}
journal = []
issue = {22}
volume = {93}
journal type = {AC}
place = {United States}
year = {2004}
month = {Nov}
}
title = {Universal results from an alternate random-matrix model for QCD with a baryon chemical potential}
author = {Osborn, James C}
abstractNote = {We introduce a new non-Hermitian random-matrix model for QCD with a baryon chemical potential. This model is a direct chiral extension of a previously studied model that interpolates between the Wigner-Dyson and Ginibre ensembles. We present exact results for all eigenvalue correlations for any number of quark flavors using the orthogonal polynomial method. We also find that the parameters of the model can be scaled to remove the effects of the chemical potential from all thermodynamic quantities until the finite density phase transition is reached. This makes the model and its extensions well suited for studying the phase diagram of QCD.}
doi = {10.1103/PhysRevLett.93.222001}
journal = []
issue = {22}
volume = {93}
journal type = {AC}
place = {United States}
year = {2004}
month = {Nov}
}