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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Autores principales: López Nacir, Diana Laura, Mazzitelli, Francisco Diego
Publicado: 2012
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v85_n2_p_LopezNacir
http://hdl.handle.net/20.500.12110/paper_15507998_v85_n2_p_LopezNacir
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_15507998_v85_n2_p_LopezNacir
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spelling paper:paper_15507998_v85_n2_p_LopezNacir2023-06-08T16:22:27Z Lifshitz scalar fields: One loop renormalization in curved backgrounds López Nacir, Diana Laura Mazzitelli, Francisco Diego 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. 2012 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v85_n2_p_LopezNacir http://hdl.handle.net/20.500.12110/paper_15507998_v85_n2_p_LopezNacir
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection 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.
author López Nacir, Diana Laura
Mazzitelli, Francisco Diego
spellingShingle López Nacir, Diana Laura
Mazzitelli, Francisco Diego
Lifshitz scalar fields: One loop renormalization in curved backgrounds
author_facet López Nacir, Diana Laura
Mazzitelli, Francisco Diego
author_sort López Nacir, Diana Laura
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
publishDate 2012
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v85_n2_p_LopezNacir
http://hdl.handle.net/20.500.12110/paper_15507998_v85_n2_p_LopezNacir
work_keys_str_mv AT lopeznacirdianalaura lifshitzscalarfieldsonelooprenormalizationincurvedbackgrounds
AT mazzitellifranciscodiego lifshitzscalarfieldsonelooprenormalizationincurvedbackgrounds
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