Timeline for Yang-Mills Functional and Energy
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 24, 2015 at 15:11 | vote | accept | Jjm | ||
| Mar 8, 2015 at 18:31 | comment | added | José Figueroa-O'Farrill | I suspect that the answer to the OP might just be by analogy: the norm of the curvature in riemannian signature agrees with the energy of the lorentzian theory. | |
| Mar 8, 2015 at 16:02 | comment | added | Tobias Diez | Yes of course you are right, my answer applies only in the Riemannian case. But as you noted, for Minkowski spacetime the norm of the curvature is not the Hamiltonian but the Lagrangian. Thus in this case the question does not make much sense. | |
| Mar 8, 2015 at 14:18 | comment | added | José Figueroa-O'Farrill | You are mixing signatures, though. The norm of the curvature in lorentzian signature is proportional to the difference not the the sum: $B^2-E^2$. The energy density, obtained by a Legendre transform, is proportional to the sum $B^2 + E^2$, which happens to be the norm of the curvature in riemannian signature. | |
| Mar 8, 2015 at 14:04 | history | answered | Tobias Diez | CC BY-SA 3.0 |