Lifshitz scalar fields: One loop renormalization in curved backgrounds
We consider an interacting Lifshitz field with z=3 in a curved spacetime. We analyze the renormalizability of the theory for interactions of the form λn, with arbitrary even n. We compute the running of the coupling constants both in the ultraviolet and infrared regimes. We show that the Lorentz-vio...
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_15507998_v85_n2_p_LopezNacir |
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todo:paper_15507998_v85_n2_p_LopezNacir2023-10-03T16:24:36Z Lifshitz scalar fields: One loop renormalization in curved backgrounds López Nacir, D.L. Mazzitelli, F.D. Trombetta, L.G. We consider an interacting Lifshitz field with z=3 in a curved spacetime. We analyze the renormalizability of the theory for interactions of the form λn, with arbitrary even n. We compute the running of the coupling constants both in the ultraviolet and infrared regimes. We show that the Lorentz-violating terms generate couplings to the spacetime metric that are not invariant under general coordinate transformations. These couplings are not suppressed by the scale of Lorentz violation and therefore survive at low energies. We point out that in these theories, unless the effective mass of the field is many orders of magnitude below the scale of Lorentz violation, the coupling to the four-dimensional Ricci scalar ξ( 4)R 2 does not receive large quantum corrections ξ1. We argue that quantum corrections involving spatial derivatives of the lapse function (which appear naturally in the so-called healthy extension of the Hořava-Lifshitz theory of gravity) are not generated unless they are already present in the bare Lagrangian. © 2012 American Physical Society. Fil:López Nacir, D.L. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Mazzitelli, F.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_15507998_v85_n2_p_LopezNacir |
| institution |
Universidad de Buenos Aires |
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I-28 |
| repository_str |
R-134 |
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| description |
We consider an interacting Lifshitz field with z=3 in a curved spacetime. We analyze the renormalizability of the theory for interactions of the form λn, with arbitrary even n. We compute the running of the coupling constants both in the ultraviolet and infrared regimes. We show that the Lorentz-violating terms generate couplings to the spacetime metric that are not invariant under general coordinate transformations. These couplings are not suppressed by the scale of Lorentz violation and therefore survive at low energies. We point out that in these theories, unless the effective mass of the field is many orders of magnitude below the scale of Lorentz violation, the coupling to the four-dimensional Ricci scalar ξ( 4)R 2 does not receive large quantum corrections ξ1. We argue that quantum corrections involving spatial derivatives of the lapse function (which appear naturally in the so-called healthy extension of the Hořava-Lifshitz theory of gravity) are not generated unless they are already present in the bare Lagrangian. © 2012 American Physical Society. |
| format |
JOUR |
| author |
López Nacir, D.L. Mazzitelli, F.D. Trombetta, L.G. |
| spellingShingle |
López Nacir, D.L. Mazzitelli, F.D. Trombetta, L.G. Lifshitz scalar fields: One loop renormalization in curved backgrounds |
| author_facet |
López Nacir, D.L. Mazzitelli, F.D. Trombetta, L.G. |
| author_sort |
López Nacir, D.L. |
| title |
Lifshitz scalar fields: One loop renormalization in curved backgrounds |
| title_short |
Lifshitz scalar fields: One loop renormalization in curved backgrounds |
| title_full |
Lifshitz scalar fields: One loop renormalization in curved backgrounds |
| title_fullStr |
Lifshitz scalar fields: One loop renormalization in curved backgrounds |
| title_full_unstemmed |
Lifshitz scalar fields: One loop renormalization in curved backgrounds |
| title_sort |
lifshitz scalar fields: one loop renormalization in curved backgrounds |
| url |
http://hdl.handle.net/20.500.12110/paper_15507998_v85_n2_p_LopezNacir |
| work_keys_str_mv |
AT lopeznacirdl lifshitzscalarfieldsonelooprenormalizationincurvedbackgrounds AT mazzitellifd lifshitzscalarfieldsonelooprenormalizationincurvedbackgrounds AT trombettalg lifshitzscalarfieldsonelooprenormalizationincurvedbackgrounds |
| _version_ |
1782025653080555520 |