Timeline for Dimension of Dirac $\gamma$ matrices
Current License: CC BY-SA 3.0
15 events
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| Apr 13, 2017 at 12:39 | history | edited | CommunityBot |
replaced http://physics.stackexchange.com/ with https://physics.stackexchange.com/
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| Oct 9, 2016 at 5:49 | history | edited | Qmechanic♦ |
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| Jul 20, 2016 at 5:53 | history | protected | Qmechanic♦ | ||
| Jul 20, 2016 at 5:40 | answer | added | Mass | timeline score: 7 | |
| Apr 12, 2016 at 19:56 | answer | added | user114189 | timeline score: 4 | |
| Aug 7, 2014 at 3:33 | answer | added | Dox | timeline score: 9 | |
| Feb 6, 2014 at 13:50 | history | edited | Qmechanic♦ |
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| Feb 11, 2013 at 9:51 | vote | accept | Editortoise-Composerpent | ||
| Feb 9, 2013 at 20:29 | history | edited | Qmechanic♦ | CC BY-SA 3.0 |
Dear Andrea Colonna, if u don't like my changes please roll back or use the parts u like.
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| Feb 9, 2013 at 20:17 | answer | added | Qmechanic♦ | timeline score: 29 | |
| Feb 8, 2013 at 0:17 | comment | added | Michael | @AndreHolzner That's not what the OP is asking. The question is whether there are higher dimensional representations of the 4D Dirac algebra, i.e., looking for four matrices that satisfy the 4D algebra but which are larger than 4x4. The standard construction that you link to gives matrix dimensions which are powers of two, which doesn't answer the question of whether there are any 6x6 representations. | |
| Feb 7, 2013 at 20:28 | comment | added | Andre Holzner | yes, it's definitively possible to have matrices larger than 4x4 satisfying the above relations, see this Wikipedia article and this link | |
| Feb 7, 2013 at 19:09 | history | tweeted | twitter.com/#!/StackPhysics/status/299595672506728448 | ||
| Feb 7, 2013 at 16:21 | comment | added | Michael | Don't know if this is the way - just thinking out loud here - but the projection operators $P_{\pm} = (1\pm\gamma^5)/2$ cut the space in half, so if you can prove that $P_{\pm}$ can't have an odd number of nonzero eigenvalues you're done. You can probably use the representation theory of SU(2) to complete a proof since in four dimensions SO(3,1) ~ SU(2)xSU(2) (a double cover) and the projectors drop you onto one of the factors. | |
| Feb 7, 2013 at 15:09 | history | asked | Editortoise-Composerpent | CC BY-SA 3.0 |