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2010

Renormalization Of High-Energy Lorentz Violating Four Fermion Models

Anselmi, Damiano, Ciuffoli, Emilio

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We study the one-loop renormalization of high-energy Lorentz violating four fermion models.

We derive general formulas and then consider a number of specific models.
We study the conditions for asymptotic freedom and give a practical method to determine the asymptotic-freedom domain.
We also point out that in some models the RG flow contains "rational" Zimmermann trajectories that might hide new symmetries.

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Built on

D.J. Gross and A. Neveu, Dynamical symmetry breaking in asymptotically free field theories, Phys. Rev. D 10 (1974) 3235
1974
Earlier work this paper cites.
W. Zimmermann, Reduction in the number of coupling parameters, Commun. Math. Phys. 97 (1985) 211
1985
Earlier work this paper cites.
R. Oehme and W. Zimmermann, Relation between effective couplings for asymptotically free models, Commun. Math. Phys. 97 (1985) 569
1985
Earlier work this paper cites.

Similar

R. Oehme, Reduction and reparametrization of quantum field theories, Prog. Theor. Phys. Suppl. 86 (1986) 215
1986
Cited alongside, same era.
W. Zimmermann, Scheme independence of the reduction principle and asymptotic freedom in several couplings, Commun. Math. Phys. 219 (2001) 221
2001
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D. Anselmi and M. Halat, Renormalization of Lorentz violating theories, Phys. Rev. D 76 (2007) 125011 and arXiv:0707.2480 [hep-th]
Original
2007
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See for example, A. Strumia and F. Vissani, Neutrino masses and mixings and…, arXiv:hep-ph/0606054 [hep-ph]
Cited in the paper.

Then

V.A. Kostelecký and N. Russell, Data tables for Lorentz and CTP violation
Original
2008
Later among the works it cites.
D. Anselmi, Weighted power counting, neutrino masses and Lorentz violating extensions of the Standard Model, Phys. Rev. D 79 (2009) 025017 and arXiv:0808.3475 [hep-ph]
Original
2009
Later among the works it cites.
D. Anselmi, Standard Model Without Elementary Scalars And High Energy Lorentz Violation, Eur. Phys. J. C 65 (2010) 523 and arXiv:0904.1849 [hep-ph]
Original
2010
Closest in time.

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