Calculating Non-abelian Anomalies: Who Can Do It?

Thread starter cosmology
Start date Sep 9, 2007

In summary, a non-abelian anomaly is a phenomenon in quantum field theory where symmetries are violated, leading to inconsistencies in the theory. It requires a deep understanding of quantum field theory and group theory to accurately calculate, and it is important for developing consistent theories and gaining insight into physical systems. Various techniques are used to calculate non-abelian anomalies, and while they are theoretical concepts, they can have observable consequences in experiments.

Sep 9, 2007

cosmology

who can calculate non-abelian anomalies explictly?

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Sep 14, 2007

cosmology

see the attached file
How to derive (2) from (1).show the calculation explictly

Jun 26, 2008

cosmology

the calculation is involued

1. What is a non-abelian anomaly?

A non-abelian anomaly is a type of quantum field theory phenomenon where symmetries of a physical system are violated, leading to inconsistencies in the theory. In other words, the mathematical equations used to describe the system break down when certain transformations are applied.

2. Who can calculate non-abelian anomalies?

Calculating non-abelian anomalies requires a deep understanding of quantum field theory and group theory. Typically, only trained physicists who specialize in these areas have the necessary knowledge and skills to accurately calculate non-abelian anomalies.

3. Why is it important to calculate non-abelian anomalies?

Understanding and calculating non-abelian anomalies is crucial for developing consistent and accurate theories in quantum field theory. It can also shed light on the underlying symmetries and behavior of physical systems, leading to new insights and advancements in the field.

4. What techniques are used to calculate non-abelian anomalies?

There are various techniques used to calculate non-abelian anomalies, including perturbative methods, path integrals, and symmetry arguments. These techniques involve complex mathematical calculations and require a strong understanding of quantum field theory principles.

5. Can non-abelian anomalies be observed in real-world experiments?

While non-abelian anomalies are theoretical concepts, they can have observable consequences in physical systems. For example, the chiral anomaly has been observed in high-energy experiments, providing evidence for the violation of chiral symmetry in certain physical processes.