A Goursac de

A Lakhoua

A Matusis

D Blaschke

DN Blaschke

E Cagnache

E Langmann

E Witten

F Chandelier

F Vignes-Tourneret

H Aoki

H Grosse

H Steinacker

I Chepelev

IK Kostov

J Ambjørn

J Madore

J-C Wallet

JC Varilly

Jean-Christophe Wallet

JM Gracia-Bondía

L Baulieu

M Burić

M Disertori

M Dubois-Violette

M Hayakawa

MR Douglas

N Ishibashi

N Seiberg

P Vitale

Patrizia Vitale

Pierre Martinetti

RJ Szabo

S Doplicher

S Galluccio

S Minwalla

V Schomerus

Abstract
          
          We study a class of noncommutative gauge theory models on 2-dimensional Moyal space from the viewpoint of matrix models and explore some related properties. Expanding the action around symmetric vacua generates non local matrix models with polynomial interaction terms. For a particular vacuum, we can invert the kinetic operator which is related to a Jacobi operator. The resulting propagator can be expressed in terms of Chebyschev polynomials of second kind. We show that non vanishing correlations exist at large separations. General considerations on the kinetic operators stemming from the other class of symmetric vacua, indicate that only one class of symmetric vacua should lead to fast decaying propagators. The quantum stability of the vacuum is briefly discussed.</jats:p

Crossref

Journal of High Energy Physics

Noncommutative gauge theories on $ \mathbb{R}_{\theta}^2 $ as matrix models

https://link.springer.com/content/pdf/10.1007%2FJHEP09%282013%29051.pdf

Noncommutative gauge theories on $\mathbb{R}_{\theta}^2$ as matrix models

Abstract

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Noncommutative gauge theories on Rθ2 \mathbb{R}_{\theta}^2 Rθ2​ as matrix models

Abstract

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Crossref

Noncommutative gauge theories on $\mathbb{R}_{\theta}^2$ as matrix models