Second order Standard Model
It is known, though not commonly, that one can describe fermions using a second order in derivatives Lagrangian instead of the first order Dirac one. In this description the propagator is scalar, and the complexity is shifted to the vertex, which contains a derivative operator. In this paper we rewr...
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Elsevier
2015-06-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321315001315 |
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doaj-1a159c6e0c2e49df81ae42d6e4498dc22020-11-24T22:45:18ZengElsevierNuclear Physics B0550-32132015-06-01895248271Second order Standard ModelJohnny Espin0Kirill Krasnov1School of Mathematical Sciences, University of Nottingham, United KingdomCorresponding author.; School of Mathematical Sciences, University of Nottingham, United KingdomIt is known, though not commonly, that one can describe fermions using a second order in derivatives Lagrangian instead of the first order Dirac one. In this description the propagator is scalar, and the complexity is shifted to the vertex, which contains a derivative operator. In this paper we rewrite the Lagrangian of the fermionic sector of the Standard Model in such second order form. The new Lagrangian is extremely compact, and is obtained from the usual first order Lagrangian by integrating out all primed (or dotted) 2-component spinors. It thus contains just half of the 2-component spinors that appear in the usual Lagrangian, which suggests a new perspective on unification. We sketch a natural in this framework SU(2)×SU(4)⊂SO(9) unified theory.http://www.sciencedirect.com/science/article/pii/S0550321315001315 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Johnny Espin Kirill Krasnov |
| spellingShingle |
Johnny Espin Kirill Krasnov Second order Standard Model Nuclear Physics B |
| author_facet |
Johnny Espin Kirill Krasnov |
| author_sort |
Johnny Espin |
| title |
Second order Standard Model |
| title_short |
Second order Standard Model |
| title_full |
Second order Standard Model |
| title_fullStr |
Second order Standard Model |
| title_full_unstemmed |
Second order Standard Model |
| title_sort |
second order standard model |
| publisher |
Elsevier |
| series |
Nuclear Physics B |
| issn |
0550-3213 |
| publishDate |
2015-06-01 |
| description |
It is known, though not commonly, that one can describe fermions using a second order in derivatives Lagrangian instead of the first order Dirac one. In this description the propagator is scalar, and the complexity is shifted to the vertex, which contains a derivative operator. In this paper we rewrite the Lagrangian of the fermionic sector of the Standard Model in such second order form. The new Lagrangian is extremely compact, and is obtained from the usual first order Lagrangian by integrating out all primed (or dotted) 2-component spinors. It thus contains just half of the 2-component spinors that appear in the usual Lagrangian, which suggests a new perspective on unification. We sketch a natural in this framework SU(2)×SU(4)⊂SO(9) unified theory. |
| url |
http://www.sciencedirect.com/science/article/pii/S0550321315001315 |
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AT johnnyespin secondorderstandardmodel AT kirillkrasnov secondorderstandardmodel |
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