The U(1) problem in chiral random matrix models

Romuald A. Janik; Maciej A. Nowak; Gábor Papp; Ismail Zahed

doi:10.1016/S0550-3213(97)00265-4

The U(1) problem in chiral random matrix models

Romuald A. Janik
, Maciej A. Nowak
, Gábor Papp
, Ismail Zahed

Physics and Astronomy

Jagiellonian University in Kraków
GSI Helmholtz Centre for Heavy Ion Research
Eötvös Loránd University

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

We show that conventional asymmetric chiral random matrix models (ChRMM), with a gaussian distribution in the asymmetry, provide for a screening of the topological charge and a resolution of the U(1) problem in the unquenched approximation. Our exact results to order 1/N are in agreement with numerical estimates using large ensembles of asymmetric ChRMM with gaussian distributions.

Original language	English
Pages (from-to)	313-330
Number of pages	18
Journal	Nuclear Physics, Section B
Volume	498
Issue number	1-2
DOIs	https://doi.org/10.1016/S0550-3213(97)00265-4
State	Published - Aug 4 1997

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title = "The U(1) problem in chiral random matrix models",

abstract = "We show that conventional asymmetric chiral random matrix models (ChRMM), with a gaussian distribution in the asymmetry, provide for a screening of the topological charge and a resolution of the U(1) problem in the unquenched approximation. Our exact results to order 1/N are in agreement with numerical estimates using large ensembles of asymmetric ChRMM with gaussian distributions.",

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T1 - The U(1) problem in chiral random matrix models

AU - Janik, Romuald A.

AU - Nowak, Maciej A.

AU - Papp, Gábor

AU - Zahed, Ismail

PY - 1997/8/4

Y1 - 1997/8/4

N2 - We show that conventional asymmetric chiral random matrix models (ChRMM), with a gaussian distribution in the asymmetry, provide for a screening of the topological charge and a resolution of the U(1) problem in the unquenched approximation. Our exact results to order 1/N are in agreement with numerical estimates using large ensembles of asymmetric ChRMM with gaussian distributions.

AB - We show that conventional asymmetric chiral random matrix models (ChRMM), with a gaussian distribution in the asymmetry, provide for a screening of the topological charge and a resolution of the U(1) problem in the unquenched approximation. Our exact results to order 1/N are in agreement with numerical estimates using large ensembles of asymmetric ChRMM with gaussian distributions.

UR - https://www.scopus.com/pages/publications/0031552697

U2 - 10.1016/S0550-3213(97)00265-4

DO - 10.1016/S0550-3213(97)00265-4

M3 - Article

AN - SCOPUS:0031552697

SN - 0550-3213

VL - 498

SP - 313

EP - 330

JO - Nuclear Physics, Section B

JF - Nuclear Physics, Section B

IS - 1-2

ER -

The U(1) problem in chiral random matrix models

Abstract

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