Discretization effects in Nc = 2 QCD and random matrix theory

Mario Kieburg; Jacobus Verbaarschot; Savvas Zafeiropoulos

Discretization effects in N_c = 2 QCD and random matrix theory

Mario Kieburg
, Jacobus Verbaarschot
, Savvas Zafeiropoulos

Physics and Astronomy

Stony Brook University

Bielefeld University
Stony Brook University
Goethe University Frankfurt

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

We summarize the analytical solution of the Chiral Perturbation Theory for the Hermitian Wilson Dirac operator of Nc = 2 QCD with quarks in the fundamental representation. Results have been obtained for the quenched microscopic spectral density, the distribution of the chiralities over the real modes and the chiral condensate. The analytical results are compared with results from a Monte Carlo simulation of the corresponding Random Matrix Theory.

Original language	English
Title of host publication	Proceedings of the 50th Rencontres de Moriond - 2015 QCD and High Energy Interactions
Editors	Etienne Auge, Jacques Dumarchez, Jean Tran Thanh Van
Publisher	ARISF
Pages	161-164
Number of pages	4
ISBN (Electronic)	9782954640075
State	Published - 2015
Event	50th Rencontres de Moriond on QCD and High Energy Interactions 2015 - La Thuile, Italy Duration: Mar 21 2015 → Mar 28 2015

Publication series

Name	Proceedings of the 50th Rencontres de Moriond - 2015 QCD and High Energy Interactions

Conference

Conference	50th Rencontres de Moriond on QCD and High Energy Interactions 2015
Country/Territory	Italy
City	La Thuile
Period	03/21/15 → 03/28/15

Cite this

Kieburg, M., Verbaarschot, J., & Zafeiropoulos, S. (2015). Discretization effects in N_c = 2 QCD and random matrix theory. In E. Auge, J. Dumarchez, & J. Tran Thanh Van (Eds.), Proceedings of the 50th Rencontres de Moriond - 2015 QCD and High Energy Interactions (pp. 161-164). (Proceedings of the 50th Rencontres de Moriond - 2015 QCD and High Energy Interactions). ARISF.

Kieburg, Mario ; Verbaarschot, Jacobus ; Zafeiropoulos, Savvas. / Discretization effects in N_c = 2 QCD and random matrix theory. Proceedings of the 50th Rencontres de Moriond - 2015 QCD and High Energy Interactions. editor / Etienne Auge ; Jacques Dumarchez ; Jean Tran Thanh Van. ARISF, 2015. pp. 161-164 (Proceedings of the 50th Rencontres de Moriond - 2015 QCD and High Energy Interactions).

@inproceedings{8932d15898a84bfda72de8f364e2173e,

title = "Discretization effects in Nc = 2 QCD and random matrix theory",

abstract = "We summarize the analytical solution of the Chiral Perturbation Theory for the Hermitian Wilson Dirac operator of Nc = 2 QCD with quarks in the fundamental representation. Results have been obtained for the quenched microscopic spectral density, the distribution of the chiralities over the real modes and the chiral condensate. The analytical results are compared with results from a Monte Carlo simulation of the corresponding Random Matrix Theory.",

author = "Mario Kieburg and Jacobus Verbaarschot and Savvas Zafeiropoulos",

note = "Publisher Copyright: {\textcopyright} Published by ARISF, 2015; 50th Rencontres de Moriond on QCD and High Energy Interactions 2015 ; Conference date: 21-03-2015 Through 28-03-2015",

year = "2015",

language = "English",

series = "Proceedings of the 50th Rencontres de Moriond - 2015 QCD and High Energy Interactions",

publisher = "ARISF",

pages = "161--164",

editor = "Etienne Auge and Jacques Dumarchez and \{Tran Thanh Van\}, Jean",

booktitle = "Proceedings of the 50th Rencontres de Moriond - 2015 QCD and High Energy Interactions",

}

Kieburg, M, Verbaarschot, J & Zafeiropoulos, S 2015, Discretization effects in N_c = 2 QCD and random matrix theory. in E Auge, J Dumarchez & J Tran Thanh Van (eds), Proceedings of the 50th Rencontres de Moriond - 2015 QCD and High Energy Interactions. Proceedings of the 50th Rencontres de Moriond - 2015 QCD and High Energy Interactions, ARISF, pp. 161-164, 50th Rencontres de Moriond on QCD and High Energy Interactions 2015, La Thuile, Italy, 03/21/15.

Discretization effects in N_c = 2 QCD and random matrix theory. / Kieburg, Mario; Verbaarschot, Jacobus; Zafeiropoulos, Savvas.
Proceedings of the 50th Rencontres de Moriond - 2015 QCD and High Energy Interactions. ed. / Etienne Auge; Jacques Dumarchez; Jean Tran Thanh Van. ARISF, 2015. p. 161-164 (Proceedings of the 50th Rencontres de Moriond - 2015 QCD and High Energy Interactions).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Discretization effects in Nc = 2 QCD and random matrix theory

AU - Kieburg, Mario

AU - Verbaarschot, Jacobus

AU - Zafeiropoulos, Savvas

PY - 2015

Y1 - 2015

N2 - We summarize the analytical solution of the Chiral Perturbation Theory for the Hermitian Wilson Dirac operator of Nc = 2 QCD with quarks in the fundamental representation. Results have been obtained for the quenched microscopic spectral density, the distribution of the chiralities over the real modes and the chiral condensate. The analytical results are compared with results from a Monte Carlo simulation of the corresponding Random Matrix Theory.

AB - We summarize the analytical solution of the Chiral Perturbation Theory for the Hermitian Wilson Dirac operator of Nc = 2 QCD with quarks in the fundamental representation. Results have been obtained for the quenched microscopic spectral density, the distribution of the chiralities over the real modes and the chiral condensate. The analytical results are compared with results from a Monte Carlo simulation of the corresponding Random Matrix Theory.

UR - https://www.scopus.com/pages/publications/85090383686

M3 - Conference contribution

T3 - Proceedings of the 50th Rencontres de Moriond - 2015 QCD and High Energy Interactions

SP - 161

EP - 164

BT - Proceedings of the 50th Rencontres de Moriond - 2015 QCD and High Energy Interactions

A2 - Auge, Etienne

A2 - Dumarchez, Jacques

A2 - Tran Thanh Van, Jean

PB - ARISF

T2 - 50th Rencontres de Moriond on QCD and High Energy Interactions 2015

Y2 - 21 March 2015 through 28 March 2015

ER -

Discretization effects in N_c = 2 QCD and random matrix theory

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