Journal article

Symmetry Transition Preserving Chirality in QCD: A Versatile Random Matrix Model

Takuya Kanazawa, Mario Kieburg

PHYSICAL REVIEW LETTERS | AMER PHYSICAL SOC | Published : 2018

Abstract

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

University of Melbourne Researchers

Grants

Awarded by German research council (DFG)


Funding Acknowledgements

We acknowledge support by the RIKEN iTHES project (T. K.) and the German research council (DFG) via the CRC 1283 (M. K.).