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Anomalies in gauge theories

Physics Reports, 1991
We discuss the scale and chiral anomalies in quantum chromodynamics and their implications for the theory of hadrons. In the first part the physical meaning of the anomaly is demonstrated. To this end the simplest gauge model is considered — the two-dimensional Schwinger model.
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Anomalies in gauge theories

Uspekhi Fizicheskih Nauk, 1986
In a quantum system with an infinite number of degrees of freedom, loop corrections may break symmetries of the original Lagrangian. This phenomenon, a "quantum anomaly," arises from the need for a "regularization": a supplemental definition of the theory in the ultraviolet region.
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Gauge-Independence of Anomalies

1990
Experience with string theories suggests a new look at some old Problems regarding anomalies. The extended BRS-technique is an excellent tool to control the dependence on gauge-fixing of anomalies. These methods are explained together with an extension, so as to include ’external’ anomalies as well.
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The structure of gauge and gravitational anomalies

Annals of Physics, 1985
There are some quantities that are conserved by solutions of classical field equations but are not conserved on the quantum level (i.e., there appear ''anomalies''). The reason is that the quantization procedure lowers the symmetry of a theory. In this review the gauge and gravitational anomalies are related with index theorems for elliptic operators ...
Alvarez-Gaumé, Luis, Ginsparg, Paul
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Gauge groups without triangular anomaly

Physical Review D, 1977
Suppose that $G$ is a simple gauge group governing a unified gauge theory. We shall then prove that the existence or absence of the triangular anomaly is equivalent to the same question for symmetrized third-order Casimir invariants of $G$. Consequently, we show that the group $\mathrm{SU}(n)$ ($n\ensuremath{\ge}3$) is the only simple Lie group with ...
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Chiral gauge symmetry without anomalies

Physical Review D, 1976
The Ward identities derived by use of chiral gauge symmetry, when examined in a perturbation expansion using Lagrangian field theory, are found to contain the Adler-Bell-Jackiw-Schwinger anomalies. The cause of this shortcoming is examined, and the result is that when one uses a formulation of field theory in which only fields already renormalized are ...
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Gauge Anomalies in Two Dimensions

1992
In these lectures, I will try to explain how two-dimensional field theories in which gauge invariance is anomalously broken may be treated consistently and to outline the resultant interesting and unfamiliar features of such theories. As is well known, such anomalies are not special to two dimensions; they can occur in any number of dimensions where ...
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Gauge and gravitational anomalies in two dimensions

Physical Review D, 1987
Gauge and gravitational anomalies are studied in two dimensions. In the gauge-anomaly case, we obtain the solution of the anomaly equation (the Wess-Zumino term) with only gauge fields, without auxiliary fields. Then we show, up to the second nontrivial order, that this solution agrees with the explicit Feynman-diagram calculation. In the gravitational-
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Deep Learning for Anomaly Detection

ACM Computing Surveys, 2022
Guansong Pang, Longbing Cao
exaly  

Monopoles, Gauge Fields, and Anomalies

1983
The possible catalysis of baryon disintegration by magnetic poles is a beautiful example of the way in which monopoles illuminate fundamental concepts of physics. This hypothetical process is followed step by step, with an effort to minimize arbitrary hypotheses and to state clearly those which remain, as well as the consequences of changing them.
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