We present a quantitative analysis of the microscopic Dirac spectrum which is complex in the presence of a nonvanishing quark chemical potential. Data from quenched SU(3) lattice simulations for different volumes V and small values of the chemical potential p are compared to analytical predictions
Eigenvalue correlations in QCD with a chemical potential
β Scribed by James C. Osborn
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 108 KB
- Volume
- 140
- Category
- Article
- ISSN
- 0920-5632
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β¦ Synopsis
We discuss a new Random Matrix Model for QCD with a chemical potential that is based on the symmetries of the Dirac operator and can be solved exactly for all eigenvalue correlations for any number of flavors. In the microscopic limit of small energy levels the results should be an accurate description of QCD. This new model can also be scaled so that all physical observables remain at their Β΅ = 0 values until a first order chiral restoration transition is reached. This gives a more realistic model for the QCD phase diagram than previous RMM. We also mention how the model might aid in determining the phase diagram of QCD from future numerical simulations.
π SIMILAR VOLUMES
A connection between the operator fermionic currents J^ and corresponding 'Grassmannian' currents J in the functional integral formalism is studied. The QCD action with non-zero chemical potential p is derived. A connection between the fermionic Fock space and boundary conditions along the forth dir