# Tag Info

### What makes energy "the" conserved quantity associated with temporal translation symmetry?

The OP's question is basically stating that in a system with time-translation invariant dynamics, we can define a conserved quantity by arbitrarily assigning a real number to each orbit; when the ...
• 4,585

### What makes energy "the" conserved quantity associated with temporal translation symmetry?

What is special about the conserved quantity $Q(x, p) := \frac{1}{2} (x^2 + p^2)$, when also the quantity $Q_2(x, p) = \sin(x^2 + p^2)$ is conserved too, by the same temporal translational symmetry? ...
• 6,831

### How are anomalies possible?

It's true as the others have said that the path integral measure may not be invariant. However I don't really like that quote as a general description of anomalies, since it sounds like they rely on a ...
• 7,432

### How are anomalies possible?

This is such a short answer I'm tempted to just leave it as a comment, but besides specifying the Lagrangian you need to also specify your regularization, and the regularization is what introduces the ...
• 7,481

### How are anomalies possible?

The reason for this is that in the classical theory the Lagrangian fully specifies the dynamics of the system, however, in the Quantum system this is not true. Rather the Quantum theory is given by (...

• 47.1k
Accepted

### I'm confused about the number of Killing vectors in Schwarzschild metric

A brute force (and ugly) derivation of the Killing fields of Schwarzschild metric The Schwarzschild metric is ds^2 = -\left(1-\frac{R_{\text{S}}}{r}\right) \text{d} t^2 + \left(1-\...
• 491