Abstract:
We consider the semiclassical Einstein equations (SEE) in the presence of a quantum scalar field with self-interaction λφ4. Working in the Hartree truncation of the two-particle irreducible effective action, we compute the vacuum expectation value of the energy-momentum tensor of the scalar field, which acts as a source of the SEE. We obtain the renormalized SEE by implementing a consistent renormalization procedure. We apply our results to find self-consistent de Sitter solutions to the SEE in situations with or without spontaneous breaking of the Z2-symmetry. © 2014 American Physical Society.
Registro:
Documento: |
Artículo
|
Título: | Hartree approximation in curved spacetimes revisited. II. the semiclassical Einstein equations and de Sitter self-consistent solutions |
Autor: | López Nacir, D.L.; Mazzitelli, F.D.; Trombetta, L.G. |
Filiación: | Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, 34151 Trieste, Italy Departamento de Física and IFIBA, FCEyN UBA, Ciudad Universitaria, Pabellón i, 1428 Buenos Aires, Argentina Centro Atómico Bariloche Comisión Nacional de Energía Atómica, R8402AGP Bariloche, Argentina
|
Año: | 2014
|
Volumen: | 89
|
Número: | 8
|
DOI: |
http://dx.doi.org/10.1103/PhysRevD.89.084013 |
Título revista: | Physical Review D - Particles, Fields, Gravitation and Cosmology
|
Título revista abreviado: | Phys Rev D Part Fields Gravit Cosmol
|
ISSN: | 15507998
|
CODEN: | PRVDA
|
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15507998_v89_n8_p_LopezNacir |
Referencias:
- Birrell, N.D., Davies, P.C.W., (1982) Quantum Fields in Curved Space, , (Cambridge University Press, Cambridge, England)
- Wald, R.M., (1994) Quantum Field Theory in Curved Spacetime and Black Hole Thermodynamics, , (University of Chicago Press, Chicago)
- Fulling, S.M., (1989) Aspects of Quantum Field Theory in Curved Spacetime, , (Cambridge University Press, Cambridge, England)
- Parker, L.E., Toms, D.J., (2009) Quantum Field Theory in Curved Spacetime, , (Cambridge University Press, Cambridge, England)
- Guth, A.H., (1981) Phys. Rev. D, 23, p. 347. , PRVDAQ 0556-2821 10.1103/PhysRevD.23.347
- Linde, A.D., (1982) Phys. Lett., 108 B, p. 389. , PYLBAJ 0370-2693 10.1016/0370-2693(82)91219-9
- Albrecht, A., Steinhardt, P.J., (1982) Phys. Rev. Lett., 48, p. 1220. , PRLTAO 0031-9007 10.1103/PhysRevLett.48.1220
- Ade, P.A.R., (PLANCK Collaboration), arXiv:1303.5082; Spergel, D.N., Verde, L., Peiris, H.V., Komatsu, E., Nolta, M.R., Bennett, C.L., Halpern, M., Wright, E.L., First-year Wilkinson Microwave Anisotropy Probe (WMAP) observations: Determination of cosmological parameters (2003) Astrophysical Journal, Supplement Series, 148 (1), pp. 175-194. , DOI 10.1086/377226
- Spergel, D.N., (2007) Astrophys. J. Suppl. Ser., 170, p. 377. , APJSA2 0067-0049 10.1086/513700
- Ade, P.A.R., (PLANCK Collaboration), arXiv:1303.5076; Riess, A.G., Filippenko, A.V., Challis, P., Clocchiatti, A., Diercks, A., Garnavich, P.M., Gilliland, R.L., Kirshner, R.P., Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant (1998) Astronomical Journal, 116 (3), pp. 1009-1038. , DOI 10.1086/300499
- Perlmutter, S., (1999) Astrophys. J., 517, p. 565. , (Supernova Cosmology Project Collaboration),. ASJOAB 0004-637X 10.1086/307221
- Weinberg, S., (2005) Phys. Rev. D, 72, p. 043514. , PRVDAQ 1550-7998 10.1103/PhysRevD.72.043514
- Weinberg, S., (2006) Phys. Rev. D, 74, p. 023508. , PRVDAQ 1550-7998 10.1103/PhysRevD.74.023508
- Van Der Meulen, M., Smit, J., J. Cosmol. Astropart. Phys., 2007 (11), p. 023. , JCAPBP 1475-7516 10.1088/1475-7516/2007/11/023
- Seery, D., J. Cosmol. Astropart. Phys., 2007 (11), p. 025. , JCAPBP 1475-7516 10.1088/1475-7516/2007/11/025
- Seery, D., J. Cosmol. Astropart. Phys., 2008 (2), p. 006. , JCAPBP 1475-7516 10.1088/1475-7516/2008/02/006
- Seery, D., (2010) Classical Quantum Gravity, 27, p. 124005. , CQGRDG 0264-9381 10.1088/0264-9381/27/12/124005
- Tanaka, T., Urakawa, Y., (2013) Classical Quantum Gravity, 30, p. 233001. , CQGRDG 0264-9381 10.1088/0264-9381/30/23/233001
- Starobinsky, A.A., Yokoyama, J., (1994) Phys. Rev. D, 50, p. 6357. , PRVDAQ 0556-2821 10.1103/PhysRevD.50.6357
- Tsamis, N.C., Woodard, R.P., Stochastic quantum gravitational inflation (2005) Nuclear Physics B, 724 (1-2), pp. 295-328. , DOI 10.1016/j.nuclphysb.2005.06.031, PII S0550321305005316
- Burgess, C.P., Leblond, L., Holman, R., Shandera, S., J. Cosmol. Astropart. Phys., 2010 (3), p. 033. , JCAPBP 1475-7516 10.1088/1475-7516/2010/03/033
- Burgess, C.P., Leblond, L., Holman, R., Shandera, S., J. Cosmol. Astropart. Phys., 2010 (10), p. 017. , JCAPBP 1475-7516 10.1088/1475-7516/2010/10/017
- Lazzari, G., Prokopec, T., arXiv:1304.0404;; Prokopec, T., J. Cosmol. Astropart. Phys., 2012 (12), p. 023. , JCAPBP 1475-7516 10.1088/1475-7516/2012/12/023
- Rajaraman, A., (2010) Phys. Rev. D, 82, p. 123522. , PRVDAQ 1550-7998 10.1103/PhysRevD.82.123522
- Hollands, S., (2012) Ann. Henri Poincaré, 13, p. 1039. , AHPJFM 1424-0637 10.1007/s00023-011-0140-1
- Beneke, M., Moch, P., (2013) Phys. Rev. D, 87, p. 064018. , PRVDAQ 1550-7998 10.1103/PhysRevD.87.064018
- Riotto, A., Sloth, M.S., J. Cosmol. Astropart. Phys., 2008 (4), p. 030. , JCAPBP 1475-7516 10.1088/1475-7516/2008/04/030
- Boyanovsky, D., (2012) Phys. Rev. D, 85, p. 123525. , PRVDAQ 1550-7998 10.1103/PhysRevD.85.123525
- Akhmedov, E.T., J. High Energy Phys., 2012 (1), p. 066. , JHEPFG 1029-8479 10.1007/JHEP01(2012)066
- Akhmedov, E.T., Burda, P., (2012) Phys. Rev. D, 86, p. 044031. , PRVDAQ 1550-7998 10.1103/PhysRevD.86.044031
- Akhmedov, E.T., Popov, F.K., Slepukhin, V.M., (2013) Phys. Rev. D, 88, p. 024021. , PRVDAQ 1550-7998 10.1103/PhysRevD.88.024021
- Garbrecht, B., Rigopoulos, G., (2011) Phys. Rev. D, 84, p. 063516. , PRVDAQ 1550-7998 10.1103/PhysRevD.84.063516
- Parentani, R., Serreau, J., (2013) Phys. Rev. D, 87, p. 045020. , PRVDAQ 1550-7998 10.1103/PhysRevD.87.045020
- Parentani, R., Serreau, J., (2013) Phys. Rev. D, 87, p. 085012. , PRVDAQ 1550-7998 10.1103/PhysRevD.87.045020
- Serreau, J., (2011) Phys. Rev. Lett., 107, p. 191103. , PRLTAO 0031-9007 10.1103/PhysRevLett.107.191103
- Youssef, A., Kreimer, D., arXiv:1301.3205; Arai, T., (2012) Phys. Rev. D, 86, p. 104064. , PRVDAQ 1550-7998 10.1103/PhysRevD.86.104064
- Garbrecht, B., Rigopoulos, G., Zhu, Y., (2014) Phys. Rev. D, 89, p. 063506. , PRVDAQ 1550-7998 10.1103/PhysRevD.89.063506
- López Nacir, D.L., Mazzitelli, F.D., Trombetta, L.G., (2014) Phys. Rev. D, 89, p. 024006. , PRVDAQ 1550-7998 10.1103/PhysRevD.89.024006
- Hartle, J.B., Hu, B.L., (1979) Phys. Rev. D, 20, p. 1772. , PRVDAQ 0556-2821 10.1103/PhysRevD.20.1772
- Hartle, J.B., Hu, B.L., (1980) Phys. Rev. D, 21, p. 2756. , PRVDAQ 0556-2821 10.1103/PhysRevD.21.2756
- Anderson, P.R., Molina-Pariís, C., Mottola, E., (2009) Phys. Rev. D, 80, p. 084005. , PRVDAQ 1550-7998 10.1103/PhysRevD.80.084005
- Fröb, M.B., Papadopoulos, D.B., Roura, A., Verdaguer, E., (2013) Phys. Rev. D, 87, p. 064019. , PRVDAQ 1550-7998 10.1103/PhysRevD.87.064019
- Simon, J.Z., (1992) Phys. Rev. D, 45, p. 1953. , PRVDAQ 0556-2821 10.1103/PhysRevD.45.1953
- Flanagan, E.E., Wald, R.M., (1996) Phys. Rev. D, 54, p. 6233. , PRVDAQ 0556-2821 10.1103/PhysRevD.54.6233
- Starobinsky, A.A., (1980) Phys. Lett., 91 B, p. 99. , PYLBAJ 0370-2693 10.1016/0370-2693(80)90670-X
- Vilenkin, A., (1985) Phys. Rev. D, 32, p. 2511. , PRVDAQ 0556-2821 10.1103/PhysRevD.32.2511
- Castagnino, M.A., Harari, D.D., Paz, J.P., (1986) Classical Quantum Gravity, 3, p. 569. , CQGRDG 0264-9381 10.1088/0264-9381/3/4/011
- López Nacir, D.L., Mazzitelli, F.D., (2007) Phys. Rev. D, 76, p. 024013. , PRVDAQ 1550-7998 10.1103/PhysRevD.76.024013
- Wada, S., Azuma, T., (1983) Phys. Lett., 132 B, p. 313. , PYLBAJ 0370-2693 10.1016/0370-2693(83)90315-5
- Anderson, P.R., Eaker, W., Habib, S., Molina-Paris, C., Mottola, E., (2001) Int. J. Theor. Phys., 40, p. 2217. , IJTPBM 0020-7748 10.1023/A:1012934204432
- Perez-Nadal, G., Roura, A., Verdaguer, E., (2008) Classical Quantum Gravity, 25, p. 154013. , CQGRDG 0264-9381 10.1088/0264-9381/25/15/154013
- Cornwall, J.M., Jackiw, R., Tomboulis, E., (1974) Phys. Rev. D, 10, p. 2428. , PRVDAQ 0556-2821 10.1103/PhysRevD.10.2428
- Amelino-Camelia, G., Pi, S.-Y., (1993) Phys. Rev. D, 47, p. 2356. , PRVDAQ 0556-2821 10.1103/PhysRevD.47.2356
- Stevenson, P.M., (1985) Phys. Rev. D, 32, p. 1389. , PRVDAQ 0556-2821 10.1103/PhysRevD.32.1389
- Stevenson, P.M., Tarrach, R., (1986) Phys. Lett. B, 176, p. 436. , PYLBAJ 0370-2693 10.1016/0370-2693(86)90191-7
- Stevenson, P.M., Alles, B., Tarrach, R., (1987) Phys. Rev. D, 35, p. 2407. , PRVDAQ 0556-2821 10.1103/PhysRevD.35.2407
- Stevenson, P.M., (1987) Z. Phys. C, 35, p. 467. , ZPCFD2 0170-9739 10.1007/BF01596898
- Berges, J., Borsanyi, Sz., Reinosa, U., Serreau, J., Nonperturbative renormalization for 2PI effective action techniques (2005) Annals of Physics, 320 (2), pp. 344-398. , DOI 10.1016/j.aop.2005.06.001, PII S0003491605001156
- Mazzitelli, F.D., Paz, J.P., (1989) Phys. Rev. D, 39, p. 2234. , PRVDAQ 0556-2821 10.1103/PhysRevD.39.2234
- Marko, G., Reinosa, U., Szep, Zs., (2012) Phys. Rev. D, 86, p. 085031. , PRVDAQ 1550-7998 10.1103/PhysRevD.86.085031
- Marko, G., Reinosa, U., Szep, Zs., (2013) Phys. Rev. D, 87, p. 105001. , PRVDAQ 1550-7998 10.1103/PhysRevD.87.105001
- Calzetta, E., Hu, B.L., (2008) Nonequilibrium Quantum Field Theory, , (Cambridge University Press, Cambridge, England)
- Ramsey, S.A., Hu, B.L., (1997) Phys. Rev. D, 56, p. 661. , PRVDAQ 0556-2821 10.1103/PhysRevD.56.661
- Paz, J.P., Mazzitelli, F.D., (1988) Phys. Rev. D, 37, p. 2170. , PRVDAQ 0556-2821 10.1103/PhysRevD.37.2170
- Chistensen, S.M., (1976) Phys. Rev. D, 14, p. 2490. , PRVDAQ 0556-2821 10.1103/PhysRevD.14.2490
- See Ref. [34], Fig. 4
Citas:
---------- APA ----------
López Nacir, D.L., Mazzitelli, F.D. & Trombetta, L.G.
(2014)
. Hartree approximation in curved spacetimes revisited. II. the semiclassical Einstein equations and de Sitter self-consistent solutions. Physical Review D - Particles, Fields, Gravitation and Cosmology, 89(8).
http://dx.doi.org/10.1103/PhysRevD.89.084013---------- CHICAGO ----------
López Nacir, D.L., Mazzitelli, F.D., Trombetta, L.G.
"Hartree approximation in curved spacetimes revisited. II. the semiclassical Einstein equations and de Sitter self-consistent solutions"
. Physical Review D - Particles, Fields, Gravitation and Cosmology 89, no. 8
(2014).
http://dx.doi.org/10.1103/PhysRevD.89.084013---------- MLA ----------
López Nacir, D.L., Mazzitelli, F.D., Trombetta, L.G.
"Hartree approximation in curved spacetimes revisited. II. the semiclassical Einstein equations and de Sitter self-consistent solutions"
. Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 89, no. 8, 2014.
http://dx.doi.org/10.1103/PhysRevD.89.084013---------- VANCOUVER ----------
López Nacir, D.L., Mazzitelli, F.D., Trombetta, L.G. Hartree approximation in curved spacetimes revisited. II. the semiclassical Einstein equations and de Sitter self-consistent solutions. Phys Rev D Part Fields Gravit Cosmol. 2014;89(8).
http://dx.doi.org/10.1103/PhysRevD.89.084013