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Symmetries play a big role in modern physics and have been a source of powerful tools and techniques for understanding theories and their dynamics. We say that something is symmetric if there is some transformation we can perform on that object that leaves some property unchanged. The set of symmetry transformations of an object forms a group, and the name of this group is used as the name of the symmetry of the object.

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Quantum Anomalies in Non-Gauge Theories?

There are things called sigma model anomalies, see papers listed in a sample inspire database query here. Here, the anomaly is associated to the general coordinate invariance in the target space of t …
Yuji's user avatar
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3 votes
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Calculation of Parity in Quantum Field Theory

I think your computation is correct and the book has a typo in 12.9; it misses a $\gamma^0$ between $\bar\psi$ and $P^\dagger$. Books on physics at this level and up often contain lots of typos of thi …
Yuji's user avatar
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21 votes
1 answer
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Any use for $F_4$ in hep-th?

In high energy physics, the use of the classical Lie groups are common place, and in the Grand Unification the use of $E_{6,7,8}$ is also common place. In string theory $G_2$ is sometimes utilized, …
Yuji's user avatar
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