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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todo:paper_11266708_v2010_n9_p_Giribet2023-10-03T16:06:46Z Counterterms in semiclassical Hořava-Lifshitz gravity Giribet, G. Nacir, D.L. Mazzitelli, F.D. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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, G. Nacir, D.L. Mazzitelli, F.D. 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. |
| format |
JOUR |
| author |
Giribet, G. Nacir, D.L. Mazzitelli, F.D. |
| author_facet |
Giribet, G. Nacir, D.L. Mazzitelli, F.D. |
| author_sort |
Giribet, G. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_11266708_v2010_n9_p_Giribet |
| work_keys_str_mv |
AT giribetg countertermsinsemiclassicalhoravalifshitzgravity AT nacirdl countertermsinsemiclassicalhoravalifshitzgravity AT mazzitellifd countertermsinsemiclassicalhoravalifshitzgravity |
| _version_ |
1807316220868820992 |