Symmetry crossover protecting chirality in Dirac spectra

Kanazawa T, Kieburg M (2018)
JOURNAL OF HIGH ENERGY PHYSICS 11: 205.

Zeitschriftenaufsatz | Veröffentlicht| Englisch
 
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Autor/in
Kanazawa, Takuya; Kieburg, MarioUniBi
Abstract / Bemerkung
We consider a random matrix model in the hard edge limit (local spectral statistics at the origin in the limit of large matrix size) which interpolates between the Gaussian unitary ensemble (GUE) and the chiral Gaussian unitary ensemble (chGUE). We show that this model is equivalent to the low-energy limit of certain QCD-like theories in the epsilon-regime. Moreover, we present a detailed derivation of the microscopic level density as well as the partially quenched and unquenched partition functions. Some of these results have been announced in a former letter by us. Our derivation relies on the supersymmetry method and is performed here step by step. Additionally, we compute the chiral condensate and the pion condensate for the quenched as well as unquenched settings. We also investigate the limits to GUE and chGUE and confirm our conjecture that the non-uniformity of the GUE limit would carry over to the hard edge limit.
Erscheinungsjahr
2018
Zeitschriftentitel
JOURNAL OF HIGH ENERGY PHYSICS
Band
11
Art.-Nr.
205
ISSN
1029-8479
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/2932982

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Kanazawa T, Kieburg M. Symmetry crossover protecting chirality in Dirac spectra. JOURNAL OF HIGH ENERGY PHYSICS. 2018;11: 205.
Kanazawa, T., & Kieburg, M. (2018). Symmetry crossover protecting chirality in Dirac spectra. JOURNAL OF HIGH ENERGY PHYSICS, 11, 205. doi:10.1007/JHEP11(2018)205
Kanazawa, T., and Kieburg, M. (2018). Symmetry crossover protecting chirality in Dirac spectra. JOURNAL OF HIGH ENERGY PHYSICS 11:205.
Kanazawa, T., & Kieburg, M., 2018. Symmetry crossover protecting chirality in Dirac spectra. JOURNAL OF HIGH ENERGY PHYSICS, 11: 205.
T. Kanazawa and M. Kieburg, “Symmetry crossover protecting chirality in Dirac spectra”, JOURNAL OF HIGH ENERGY PHYSICS, vol. 11, 2018, : 205.
Kanazawa, T., Kieburg, M.: Symmetry crossover protecting chirality in Dirac spectra. JOURNAL OF HIGH ENERGY PHYSICS. 11, : 205 (2018).
Kanazawa, Takuya, and Kieburg, Mario. “Symmetry crossover protecting chirality in Dirac spectra”. JOURNAL OF HIGH ENERGY PHYSICS 11 (2018): 205.

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arXiv: 1809.10602

Inspire: 1695815

SCOAP3: 29736

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