Lifshitz scalar fields: One loop renormalization in curved backgrounds

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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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Autor principal: López Nacir, D.L
Otros Autores: Mazzitelli, F.D, Trombetta, L.G
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: 2012
Acceso en línea:Registro en Scopus
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Biblioteca Central Dr. Luis F. Leloir (FCEN) de Universidad de Buenos Aires
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100 1 |a López Nacir, D.L. 
245 1 0 |a Lifshitz scalar fields: One loop renormalization in curved backgrounds 
260 |c 2012 
270 1 0 |m López Nacir, D.L.; Departamento de Física, IFIBA, Pabellón I, 1428 Buenos Aires, Argentina 
506 |2 openaire  |e Política editorial 
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520 3 |a 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.  |l eng 
593 |a Departamento de Física, IFIBA, Pabellón I, 1428 Buenos Aires, Argentina 
593 |a Centro Atómico Bariloche Comisión Nacional de Energía Atómica, R8402AGP Bariloche, Argentina 
700 1 |a Mazzitelli, F.D. 
700 1 |a Trombetta, L.G. 
773 0 |d 2012  |g v. 85  |k n. 2  |p Phys Rev D Part Fields Gravit Cosmol  |x 15507998  |t Physical Review D - Particles, Fields, Gravitation and Cosmology 
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