Symmetry Transition Preserving Chirality in QCD: A Versatile Random Matrix Model
Takuya Kanazawa, Mario Kieburg
PHYSICAL REVIEW LETTERS | AMER PHYSICAL SOC | Published : 2018
We consider a random matrix model which interpolates between the chiral Gaussian unitary ensemble and the Gaussian unitary ensemble while preserving chiral symmetry. This ensemble describes flavor symmetry breaking for staggered fermions in 3D QCD as well as in 4D QCD at high temperature or in 3D QCD at a finite isospin chemical potential. Our model is an Osborn-type two-matrix model which is equivalent to the elliptic ensemble but we consider the singular value statistics rather than the complex eigenvalue statistics. We report on exact results for the partition function and the microscopic level density of the Dirac operator in the ϵ regime of QCD. We compare these analytical results with ..View full abstract
Awarded by German research council (DFG)
We acknowledge support by the RIKEN iTHES project (T. K.) and the German research council (DFG) via the CRC 1283 (M. K.).