Counterterms in semiclassical Hořava-Lifshitz gravity

We analyze the semiclassical Hořava-Lifshitz gravity for quantum scalar fields in 3 + 1 dimensions. The renormalizability of the theory requires that the action of the scalar field contains terms with six spatial derivatives of the field, i.e. in the UV, the classical action of the scalar field shou...

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Autores principales: Giribet, Gastón Enrique, López Nacir, Diana Laura, Mazzitelli, Francisco Diego
Publicado: 2010
Materias:
Models of quantum gravity
Renormalization regularization and renormalons
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2010_n9_p_Giribet
http://hdl.handle.net/20.500.12110/paper_11266708_v2010_n9_p_Giribet
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_11266708_v2010_n9_p_Giribet
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spelling paper:paper_11266708_v2010_n9_p_Giribet2025-07-30T18:44:01Z Counterterms in semiclassical Hořava-Lifshitz gravity Giribet, Gastón Enrique López Nacir, Diana Laura Mazzitelli, Francisco Diego Models of quantum gravity Renormalization regularization and renormalons We analyze the semiclassical Hořava-Lifshitz gravity for quantum scalar fields in 3 + 1 dimensions. The renormalizability of the theory requires that the action of the scalar field contains terms with six spatial derivatives of the field, i.e. in the UV, the classical action of the scalar field should preserve the anisotropic scaling symmetry (t → L 2zt, x→ → L 2x→, with z = 3) of the gravitational action. We discuss the renormalization procedure based on adiabatic subtraction and dimensional regularization in the weak field approximation. We verify that the divergent terms in the adiabatic expansion of the expectation value of the energy-momentum tensor of the scalar field contain up to six spatial derivatives, but do not contain more than two time derivatives. We compute explicitly the counterterms needed for the renormalization of the theory up to second adiabatic order and evaluate the associated β functions in the minimal subtraction scheme. © SISSA 2010. Fil:Giribet, G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil: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. 2010 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2010_n9_p_Giribet http://hdl.handle.net/20.500.12110/paper_11266708_v2010_n9_p_Giribet
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Models of quantum gravity
Renormalization regularization and renormalons
spellingShingle Models of quantum gravity
Renormalization regularization and renormalons
Giribet, Gastón Enrique
López Nacir, Diana Laura
Mazzitelli, Francisco Diego
Counterterms in semiclassical Hořava-Lifshitz gravity
topic_facet Models of quantum gravity
Renormalization regularization and renormalons
description We analyze the semiclassical Hořava-Lifshitz gravity for quantum scalar fields in 3 + 1 dimensions. The renormalizability of the theory requires that the action of the scalar field contains terms with six spatial derivatives of the field, i.e. in the UV, the classical action of the scalar field should preserve the anisotropic scaling symmetry (t → L 2zt, x→ → L 2x→, with z = 3) of the gravitational action. We discuss the renormalization procedure based on adiabatic subtraction and dimensional regularization in the weak field approximation. We verify that the divergent terms in the adiabatic expansion of the expectation value of the energy-momentum tensor of the scalar field contain up to six spatial derivatives, but do not contain more than two time derivatives. We compute explicitly the counterterms needed for the renormalization of the theory up to second adiabatic order and evaluate the associated β functions in the minimal subtraction scheme. © SISSA 2010.
author Giribet, Gastón Enrique
López Nacir, Diana Laura
Mazzitelli, Francisco Diego
author_facet Giribet, Gastón Enrique
López Nacir, Diana Laura
Mazzitelli, Francisco Diego
author_sort Giribet, Gastón Enrique
title Counterterms in semiclassical Hořava-Lifshitz gravity
title_short Counterterms in semiclassical Hořava-Lifshitz gravity
title_full Counterterms in semiclassical Hořava-Lifshitz gravity
title_fullStr Counterterms in semiclassical Hořava-Lifshitz gravity
title_full_unstemmed Counterterms in semiclassical Hořava-Lifshitz gravity
title_sort counterterms in semiclassical hořava-lifshitz gravity
publishDate 2010
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2010_n9_p_Giribet
http://hdl.handle.net/20.500.12110/paper_11266708_v2010_n9_p_Giribet
work_keys_str_mv AT giribetgastonenrique countertermsinsemiclassicalhoravalifshitzgravity
AT lopeznacirdianalaura countertermsinsemiclassicalhoravalifshitzgravity
AT mazzitellifranciscodiego countertermsinsemiclassicalhoravalifshitzgravity
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