scholarly journals Axial Anomaly in SU(N) Yang-Mills Matrix Models

2021 ◽  
Vol 127 (9) ◽  
Author(s):  
Nirmalendu Acharyya ◽  
Mahul Pandey ◽  
Sachindeo Vaidya
Keyword(s):  
Matrix Models ◽  
Axial Anomaly ◽  
Yang Mills

scholarly journals The two-loop axial anomaly in N = 1 supersymmetric Yang-Mills theory

1982 ◽  
Vol 109 (6) ◽  
pp. 449-452 ◽  
Author(s):  
D.R.T. Jones ◽  
J.P. Leveille
Keyword(s):  
Axial Anomaly ◽  
Yang Mills

scholarly journals Remarks on the eigenvalues distributions of D≤4 Yang–Mills matrix models

2015 ◽  
Vol 30 (01) ◽  
pp. 1450197
Author(s):  
Badis Ydri
Keyword(s):  
Gauge Theory ◽  
Matrix Models ◽  
Yang Mills ◽  
Fuzzy Geometry ◽  
Noncommutative Gauge Theory

The phenomenon of emergent fuzzy geometry and noncommutative gauge theory from Yang–Mills matrix models is briefly reviewed. In particular, the eigenvalue distributions of Yang–Mills matrix models in lower dimensions in the commuting (matrix or Yang–Mills) phase of these models are discussed.

Anomalies, instantons and axions

2018 ◽  
Author(s):  
Michael Kachelriess
Keyword(s):  
Standard Model ◽  
Path Integral ◽  
Electric Charge ◽  
Gauge Invariant ◽  
Axial Anomaly ◽  
Yang Mills ◽  
Integral Measure ◽  
The Standard Model ◽  
Electroweak Sector

The axial anomaly is derived both from the non-invariance of the path-integral measure under UA(1) transformations and calculations of specific triangle diagrams. It is demonstrated that the anomalous terms are cancelled in the electroweak sector of the standard model, if the electric charge of all fermions adds up to zero. The CP-odd term F̃μν‎Fμν‎ introduced by the axial anomaly is a gauge-invariant renormalisable interaction which is also generated by instanton transitions between Yang–Mills vacua with different winding numbers. The Peceei–Quinn symmetry is discussed as a possible explanation why this term does not contribute to the QCD action.

scholarly journals The fuzzy 4-hyperboloid Hn4 and higher-spin in Yang–Mills matrix models

2019 ◽  
Vol 941 ◽  
pp. 680-743 ◽  
Author(s):  
Marcus Sperling ◽  
Harold C. Steinacker
Keyword(s):  
Matrix Models ◽  
Yang Mills ◽  
Higher Spin

scholarly journals THE AREA LAW IN MATRIX MODELS FOR LARGE N QCD STRINGS

2002 ◽  
Vol 13 (04) ◽  
pp. 555-563 ◽  
Author(s):  
K. N. ANAGNOSTOPOULOS ◽  
W. BIETENHOLZ ◽  
J. NISHIMURA
Keyword(s):  
Numerical Simulations ◽  
Matrix Models ◽  
Matrix Model ◽  
Hermitian Matrices ◽  
Yang Mills ◽  
Loop Area ◽  
Large N ◽  
Volume Limit ◽  
The Matrix ◽  
Area Law

We study the question whether matrix models obtained in the zero volume limit of 4d Yang–Mills theories can describe large N QCD strings. The matrix model we use is a variant of the Eguchi–Kawai model in terms of Hermitian matrices, but without any twists or quenching. This model was originally proposed as a toy model of the IIB matrix model. In contrast to common expectations, we do observe the area law for Wilson loops in a significant range of scale of the loop area. Numerical simulations show that this range is stable as N increases up to 768, which strongly suggests that it persists in the large N limit. Hence the equivalence to QCD strings may hold for length scales inside a finite regime.

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