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

Kanazawa T, Kieburg M (2018)
PHYSICAL REVIEW LETTERS 120(24): 6.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Kanazawa, Takuya; Kieburg, MarioUniBi
Abstract / Bemerkung
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 epsilon regime of QCD. We compare these analytical results with Monte Carlo simulations of the matrix model.
Erscheinungsjahr
2018
Zeitschriftentitel
PHYSICAL REVIEW LETTERS
Band
120
Ausgabe
24
Art.-Nr.
6
ISSN
0031-9007
eISSN
1079-7114
Finanzierungs-Informationen
Open Access publishing charge funded by SCOAP$^3$ – Sponsoring Consortium for Open Access Publishing in Particle Physics and Bielefeld University.
Page URI
https://pub.uni-bielefeld.de/record/2920941

Zitieren

Kanazawa T, Kieburg M. Symmetry Transition Preserving Chirality in QCD: A Versatile Random Matrix Model. PHYSICAL REVIEW LETTERS. 2018;120(24): 6.
Kanazawa, T., & Kieburg, M. (2018). Symmetry Transition Preserving Chirality in QCD: A Versatile Random Matrix Model. PHYSICAL REVIEW LETTERS, 120(24), 6. https://doi.org/10.1103/PhysRevLett.120.242001
Kanazawa, T., and Kieburg, M. (2018). Symmetry Transition Preserving Chirality in QCD: A Versatile Random Matrix Model. PHYSICAL REVIEW LETTERS 120:6.
Kanazawa, T., & Kieburg, M., 2018. Symmetry Transition Preserving Chirality in QCD: A Versatile Random Matrix Model. PHYSICAL REVIEW LETTERS, 120(24): 6.
T. Kanazawa and M. Kieburg, “Symmetry Transition Preserving Chirality in QCD: A Versatile Random Matrix Model”, PHYSICAL REVIEW LETTERS, vol. 120, 2018, : 6.
Kanazawa, T., Kieburg, M.: Symmetry Transition Preserving Chirality in QCD: A Versatile Random Matrix Model. PHYSICAL REVIEW LETTERS. 120, : 6 (2018).
Kanazawa, Takuya, and Kieburg, Mario. “Symmetry Transition Preserving Chirality in QCD: A Versatile Random Matrix Model”. PHYSICAL REVIEW LETTERS 120.24 (2018): 6.

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