Timeline for How is the interaction of leptons and quarks with gauge fields organized in the Standard Model?
Current License: CC BY-SA 4.0
12 events
| when toggle format | what | by | license | comment | |
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| May 22, 2022 at 16:47 | vote | accept | Peter | ||
| May 22, 2022 at 16:35 | history | edited | Qmechanic♦ | CC BY-SA 4.0 |
added 18 characters in body; edited tags
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| May 22, 2022 at 15:56 | comment | added | Cosmas Zachos | I posted a placeholder answer masquerading as a comment. Your matter field is a direct product of vectors, not a direct sum, so your second logical alternative. | |
| May 22, 2022 at 15:54 | answer | added | Cosmas Zachos | timeline score: 1 | |
| May 22, 2022 at 14:49 | comment | added | Peter | Can you answer me please? I want to know where I'm wrong. | |
| May 22, 2022 at 14:09 | comment | added | Peter | No. Combining all groups of the standard model into one large group, we get one large matrix that has elements of each group. So are we acting with this one big matrix on one Dirac vector right? Or does each gauge field have its own matrix of its dimension (SU(3) is 3x3, SU(2) is 2x2, U(1) is just number) and acts separately on different dirac vectors. | |
| May 22, 2022 at 13:59 | comment | added | Cosmas Zachos | "Usually"? In the fundamental representation of SU(N) they are NxN matrices. In the M-dim representation of the same group, they are MxM matrices. Is this the question? | |
| May 22, 2022 at 13:56 | review | Close votes | |||
| Jun 10, 2022 at 3:09 | |||||
| May 22, 2022 at 13:52 | comment | added | Peter | Gauge fields are usually NxN traceless matrices, and dirac fields are N vectors. Well, in the fermionic action, the Dirac fields are multiplied with the gauge field. How do you do this if the number of rows of the vector does not match the number of columns of the matrix? That's why I ask, fermions( both quarks and leptons) should be embedded in larger set to couple with gauge field | |
| May 22, 2022 at 13:41 | answer | added | Steve Justin | timeline score: 0 | |
| May 22, 2022 at 13:35 | comment | added | Cosmas Zachos | WP. Can you expand on what this embedding you are talking about might possibly be? You already know quarks couple to all 3 factor groups but leptons only to the latter 2. What is the question? | |
| May 22, 2022 at 13:24 | history | asked | Peter | CC BY-SA 4.0 |