Abstract:
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.
Registro:
Documento: |
Artículo
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Título: | Lifshitz scalar fields: One loop renormalization in curved backgrounds |
Autor: | López Nacir, D.L.; Mazzitelli, F.D.; Trombetta, L.G. |
Filiación: | Departamento de Física, IFIBA, Pabellón I, 1428 Buenos Aires, Argentina Centro Atómico Bariloche Comisión Nacional de Energía Atómica, R8402AGP Bariloche, Argentina
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Año: | 2012
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Volumen: | 85
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Número: | 2
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DOI: |
http://dx.doi.org/10.1103/PhysRevD.85.024051 |
Título revista: | Physical Review D - Particles, Fields, Gravitation and Cosmology
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Título revista abreviado: | Phys Rev D Part Fields Gravit Cosmol
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ISSN: | 15507998
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CODEN: | PRVDA
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v85_n2_p_LopezNacir |
Referencias:
- Liberati, S., MacCione, L., (2009) Annu. Rev. Nucl. Part. Sci., 59, p. 245. , See, ARPSDF 0163-8998 10.1146/annurev.nucl.010909.083640
- Hořava, P., (2009) Phys. Rev. D, 79, p. 084008. , PRVDAQ 1550-7998 10.1103/PhysRevD.79.084008
- Pospelov, M., Shang, Y., arXiv:1010.5249v3; Giribet, G., Nacir, D.L., Mazzitelli, F.D., J. High Energy Phys., 2010 (9), p. 009. , JHEPFG 1029-8479 10.1007/JHEP09(2010)009
- Calcagni, G., J. High Energy Phys., 2009 (9), p. 112. , JHEPFG 1029-8479 10.1088/1126-6708/2009/09/112
- Mukohyama, S., J. Cosmol. Astropart. Phys., 2009 (6), p. 001. , 1475-7516 10.1088/1475-7516/2009/06/001
- Izumi, K., Kobayashi, T., Mukohyama, S., J. Cosmol. Astropart. Phys., 2010 (10), p. 031. , 1475-7516 10.1088/1475-7516/2010/10/031
- Alexandre, J., Farakos, K., Tsapalis, A., (2010) Phys. Rev. D, 81, p. 105029. , PRVDAQ 1550-7998 10.1103/PhysRevD.81.105029
- Alexandre, J., Farakos, K., Pasipoularides, P., Tsapalis, A., (2010) Phys. Rev. D, 81, p. 045002. , PRVDAQ 1550-7998 10.1103/PhysRevD.81.045002
- Iengo, R., Russo, J.G., Serone, M., J. High Energy Phys., 2009 (11), p. 020. , JHEPFG 1029-8479 10.1088/1126-6708/2009/11/020
- Gomes, P.R.S., Gomes, M., arXiv:1107.6040v1; Iengo, R., Serone, M., (2010) Phys. Rev. D, 81, p. 125005. , PRVDAQ 1550-7998 10.1103/PhysRevD.81.125005
- Alexandre, J., (2011) Int. J. Mod. Phys. A, 26, p. 4523. , IMPAEF 0217-751X 10.1142/S0217751X11054656
- Eune, M., Kim, W., Son, E.J., (2011) Phys. Lett. B, 703, p. 100. , PYLBAJ 0370-2693 10.1016/j.physletb.2011.07.057
- Farakos, K., Metaxas, D., For z=3, see also arXiv:1109.0421v1; Anber, M.M., Donoghue, J.F., (2011) Phys. Rev. D, 83, p. 105027. , PRVDAQ 1550-7998 10.1103/PhysRevD.83.105027
- Bagnuls, C., Bervillier, C., (2001) Phys. Rep., 348, p. 91. , See, PRPLCM 0370-1573 10.1016/S0370-1573(00)00137-X
- Liao, S.B., Polonyi, J., (1993) Ann. Phys., 222, p. 122. , ANPYA2 0003-4916 10.1006/aphy.1993.1019
- Blas, D., Pujolas, O., Sibiryakov, S., (2010) Phys. Rev. Lett., 104, p. 181302. , PRLTAO 0031-9007 10.1103/PhysRevLett.104.181302
- Anselmi, D., Halat, M., (2007) Phys. Rev. D, 76, p. 125011. , PRVDAQ 1550-7998 10.1103/PhysRevD.76.125011
- Visser, M., (2009) Phys. Rev. D, 80, p. 025011. , PRVDAQ 1550-7998 10.1103/PhysRevD.80.025011
- Visser, M., arXiv:0912.4757v1; Paz, J.P., Mazzitelli, F.D., (1988) Phys. Rev. D, 37, p. 2170. , PRVDAQ 0556-2821 10.1103/PhysRevD.37.2170
- Collins, J., Perez, A., Sudarsky, D., Urrutia, L., Vucetich, H., (2004) Phys. Rev. Lett., 93, p. 191301. , PRLTAO 0031-9007 10.1103/PhysRevLett.93.191301
- Nesterov, D., Solodukhin, S.N., (2011) Nucl. Phys., 842, p. 141. , NUPBBO 0550-3213 10.1016/j.nuclphysb.2010.08.006
- Morris, T.R., Turner, M.D., (1998) Nucl. Phys., 509, p. 637. , NUPBBO 0550-3213 10.1016/S0550-3213(97)00640-8
- Morris, T.R., (1994) Phys. Lett. B, 329, p. 241. , PYLBAJ 0370-2693 10.1016/0370-2693(94)90767-6
- Bezrukov, F.L., Shaposhnikov, M., (2008) Phys. Lett. B, 659, p. 703. , PYLBAJ 0370-2693 10.1016/j.physletb.2007.11.072
- Qiu, T., Maity, D., arXiv:1104.4386v1; Lerner, R.N., McDonald, J., J. Cosmol. Astropart. Phys., 2010 (4), p. 015. , 1475-7516 10.1088/1475-7516/2010/04/015
- Burgess, C.P., Lee, H.M., Trott, M., J. High Energy Phys., 2010 (7), p. 007. , JHEPFG 1029-8479 10.1007/JHEP07(2010)007
- Bezrukov, F., Magnin, A., Shaposhnikov, M., Sibiryakov, S., J. High Energy Phys., 2011 (1), p. 016. , JHEPFG 1029-8479 10.1007/JHEP01(2011)016
- Atkins, M., Calmet, X., (2011) Phys. Lett. B, 697, p. 37. , PYLBAJ 0370-2693 10.1016/j.physletb.2011.01.028
- Giudice, G.F., Lee, H.M., (2011) Phys. Lett. B, 694, p. 294. , PYLBAJ 0370-2693 10.1016/j.physletb.2010.10.035
- Onofrio, R., (2010) Phys. Rev. D, 82, p. 065008. , PRVDAQ 1550-7998 10.1103/PhysRevD.82.065008
- Onofrio, R., (2010) Int. J. Mod. Phys. A, 25, p. 2260. , IMPAEF 0217-751X 10.1142/S0217751X10049530
- Kostelecky, V.A., Mewes, M., (2001) Phys. Rev. Lett., 87, p. 251304. , PRLTAO 0031-9007 10.1103/PhysRevLett.87.251304
- Prasanna, A.R., Mohanty, S., (2003) Classical Quantum Gravity, 20, p. 3023. , CQGRDG 0264-9381 10.1088/0264-9381/20/14/304
- Chu, Y.-Z., Jacobs, D.M., Ng, Y., Starkman, G.D., (2010) Phys. Rev. D, 82, p. 064022. , PRVDAQ 1550-7998 10.1103/PhysRevD.82.064022
Citas:
---------- APA ----------
López Nacir, D.L., Mazzitelli, F.D. & Trombetta, L.G.
(2012)
. Lifshitz scalar fields: One loop renormalization in curved backgrounds. Physical Review D - Particles, Fields, Gravitation and Cosmology, 85(2).
http://dx.doi.org/10.1103/PhysRevD.85.024051---------- CHICAGO ----------
López Nacir, D.L., Mazzitelli, F.D., Trombetta, L.G.
"Lifshitz scalar fields: One loop renormalization in curved backgrounds"
. Physical Review D - Particles, Fields, Gravitation and Cosmology 85, no. 2
(2012).
http://dx.doi.org/10.1103/PhysRevD.85.024051---------- MLA ----------
López Nacir, D.L., Mazzitelli, F.D., Trombetta, L.G.
"Lifshitz scalar fields: One loop renormalization in curved backgrounds"
. Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 85, no. 2, 2012.
http://dx.doi.org/10.1103/PhysRevD.85.024051---------- VANCOUVER ----------
López Nacir, D.L., Mazzitelli, F.D., Trombetta, L.G. Lifshitz scalar fields: One loop renormalization in curved backgrounds. Phys Rev D Part Fields Gravit Cosmol. 2012;85(2).
http://dx.doi.org/10.1103/PhysRevD.85.024051