Abstract:
We consider a quantum scalar field with a λφ4 interaction in curved spacetimes. The quantum effects are taken into account nonperturbatively using the Hartree approximation to the two-particle irreducible effective action. Although this approximation has been considered in many previous works, we reconsider it using a consistent nonperturbative renormalization procedure, which we extend to general curved spacetimes. We obtain the renormalized equations for the mean field and for the propagator of the fluctuations, showing explicitly their independence on the arbitrary scale introduced by the regularization scheme. We apply our results to the particular case of de Sitter spacetime and discuss spontaneous symmetry breaking. The results depend strongly on the renormalization procedure. © 2014 American Physical Society.
Registro:
Documento: |
Artículo
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Título: | Hartree approximation in curved spacetimes revisited: The effective potential in de Sitter spacetime |
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
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Año: | 2014
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Volumen: | 89
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Número: | 2
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DOI: |
http://dx.doi.org/10.1103/PhysRevD.89.024006 |
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_v89_n2_p_LopezNacir |
Referencias:
- Weinberg, S., Weinberg, S., (2005) Phys. Rev. D, 72, p. 043514. , 1a PRVDAQ 1550-7998 10.1103/PhysRevD.72.043514 1b Phys. Rev. D 74, 023508 (2006). PRVDAQ 1550-7998 10.1103/PhysRevD.74.023508
- 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
- Meulen Der M.Van, Smit, J., J. Cosmol. Astropart. Phys., 2007 (11), p. 023. , 3 JCAPBP 1475-7516 10.1088/1475-7516/2007/11/023
- Seery, D., Seery, D., J. Cosmol. Astropart. Phys., 2007 (11), p. 025. , 4a JCAPBP 1475-7516 10.1088/1475-7516/2007/11/025
- Seery, D., (2008) J. Cosmol. Astropart. Phys., 2, p. 006. , JCAPBP 1475-7516 10.1088/1475-7516/2008/02/006
- Seery, D., (2010) Classical Quantum Gravity, 27, p. 124005. , 5 CQGRDG 0264-9381 10.1088/0264-9381/27/12/124005
- Tanaka, T., Urakawa, Y., (2013) Classical Quantum Gravity, 30, p. 233001. , 6 CQGRDG 0264-9381 10.1088/0264-9381/30/23/233001
- Burgess, C.P., Leblond, L., Holman, R., Shandera, S., Burgess, C.P., Leblond, L., Holman, R., Shandera, S., J. Cosmol. Astropart. Phys., 2010 (3), p. 033. , 7a JCAPBP 1475-7516 10.1088/1475-7516/2010/03/033
- Burgess, C.P., Leblond, L., Holman, R., Shandera, S., (2010) J. Cosmol. Astropart. Phys., 10, p. 017. , JCAPBP 1475-7516 10.1088/1475-7516/2010/10/017
- Garbrecht, B., Rigopoulos, G., (2011) Phys. Rev. D, 84, p. 063516. , 8 PRVDAQ 1550-7998 10.1103/PhysRevD.84.063516
- Rajaraman, A., (2010) Phys. Rev. D, 82, p. 123522. , 9 PRVDAQ 1550-7998 10.1103/PhysRevD.82.123522
- Hollands, S., (2012) Ann. Henri Poincaré, 13, p. 1039. , 10 1424-0637 10.1007/s00023-011-0140-1
- Beneke, M., Moch, P., (2013) Phys. Rev. D, 87, p. 064018. , 11 PRVDAQ 1550-7998 10.1103/PhysRevD.87.064018
- Starobinsky, A.A., Yokoyama, J., (1994) Phys. Rev. D, 50, p. 6357. , 12 PRVDAQ 0556-2821 10.1103/PhysRevD.50.6357
- Senatore, L., Zaldarriaga, M., J. High Energy Phys., 2010 (12), p. 008. , 13 JHEPFG 1029-8479 10.1007/JHEP12(2010)008
- Pimentel, G.L., Senatore, L., Zaldarriaga, M., J. High Energy Phys., 2012 (7), p. 166. , 14 JHEPFG 1029-8479 10.1007/JHEP07(2012)166
- Senatore, L., Zaldarriaga, M., J. High Energy Phys., 2013 (9), p. 148. , 15 JHEPFG 1029-8479 10.1007/JHEP09(2013)148
- Tanaka, T., Urakawa, Y., (2013) Prog. Theor. Exp. Phys., 2013, pp. 063E02. , 16 2050-3911 10.1093/ptep/ptt037
- Assassi, V., Baumann, D., Green, D., J. High Energy Phys., 2013 (2), p. 151. , 17 JHEPFG 1029-8479 10.1007/JHEP02(2013)151
- Miao, S.P., Woodard, R.P., J. Cosmol. Astropart. Phys., 2012 (7), p. 008. , 18 JCAPBP 1475-7516 10.1088/1475-7516/2012/07/008
- Dimastrogiovanni, E., Bartolo, N., Bartolo, N., Dimastrogiovanni, E., Vallinotto, A., J. Cosmol. Astropart. Phys., 2008 (11), p. 016. , 19a JCAPBP 1475-7516 10.1088/1475-7516/2008/11/016
- Bartolo, N., Dimastrogiovanni, E., Vallinotto, A., (2010) J. Cosmol. Astropart. Phys., 11, p. 003. , JCAPBP 1475-7516 10.1088/1475-7516/2010/11/003
- Lazzari, G., Prokopec, T., Prokopec, T., J. Cosmol. Astropart. Phys., 2012 (12), pp. arXiv. , 20a 1304.0404; 20b, () 023. JCAPBP 1475-7516 10.1088/1475-7516/2012/12/ 023
- Akhmedov, E.T., Akhmedov, E.T., Burda, Ph., Akhmedov, E.T., Popov, F.K., Slepukhin, V.M., (2012) J. High Energy Phys., 2012 (1), p. 066. , 21a JHEPFG 1029-8479 10.1007/JHEP01(2012)066
- Riotto, A., Sloth, M.S., J. Cosmol. Astropart. Phys., 2008 (4), p. 030. , 22 JCAPBP 1475-7516 10.1088/1475-7516/2008/04/030
- Boyanovsky, D., (2012) Phys. Rev. D, 85, p. 123525. , 23 PRVDAQ 1550-7998 10.1103/PhysRevD.85.123525
- Youssef, A., Kreimer, D., 24, arXiv:1301.3205; Arai, T., Arai, T., Arai, T., (2012) Classical Quantum Gravity, 29, p. 215014. , 25a CQGRDG 0264-9381 10.1088/0264-9381/29/21/215014
- (2012) T. Arai Phys. Rev. D, 86, p. 104064. , PRVDAQ 1550-7998 10.1103/PhysRevD.86.104064
- Arai, T., (2013) Phys. Rev. D, 88, p. 064029. , PRVDAQ 1550-7998 10.1103/PhysRevD.88.064029
- Parentani, R., Serreau, J., Serreau, J., Parentani, R., (2013) Phys. Rev. D, 87, p. 045020. , 26a PRVDAQ 1550-7998 10.1103/PhysRevD.87.045020
- Serreau, J., Parentani, R., (2013) Phys. Rev. D, 87, p. 085012. , PRVDAQ 1550-7998 10.1103/PhysRevD.87.085012
- Serreau, J., Serreau, J., (2011) Phys. Rev. Lett., 107, p. 191103. , 27a PRLTAO 0031-9007 10.1103/PhysRevLett.107.191103 27b arXiv:1306.3846
- Ratra, B., (1985) Phys. Rev. D, 31, p. 1931. , 28 PRVDAQ 0556-2821 10.1103/PhysRevD.31.1931
- Cornwall, J.M., Jackiw, R., Tomboulis, E., (1974) Phys. Rev. D, 10, p. 2428. , 29 PRVDAQ 0556-2821 10.1103/PhysRevD.10.2428
- Mora, P.J., Tsamis, N.C., Woodard, R.P., J. Cosmol. Astropart. Phys., 2013 (10), p. 018. , 30 and references therein. JCAPBP 1475-7516 10.1088/1475-7516/2013/10/018
- Stevenson, P.M., (1985) Phys. Rev. D, 32, p. 1389. , 31 PRVDAQ 0556-2821 10.1103/PhysRevD.32.1389
- Stevenson, P.M., Tarrach, R., Stevenson, P.M., Alles, B., Tarrach, R., Stevenson, P.M., (1986) Phys. Lett. B, 176, p. 436. , 32a 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
- Mazzitelli, F.D., Paz, J.P., (1989) Phys. Rev. D, 39, p. 2234. , 33 PRVDAQ 0556-2821 10.1103/PhysRevD.39.2234
- Amelino-Camelia, G., Pi, S.-Y., (1993) Phys. Rev. D, 47, p. 2356. , 34 PRVDAQ 0556-2821 10.1103/PhysRevD.47.2356
- 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
- Cooper, F., Dawson, J.F., Mihaila, B., Quantum dynamics of phase transitions in broken symmetry λ φ4 field theory (2003) Physical Review D, 67 (5), p. 056003. , DOI 10.1103/PhysRevD.67.056003
- Espinosa, J.R., Quiros, M., Zwirner, F., (1992) Phys. Lett. B, 291, p. 115. , PYLBAJ 0370-2693 10.1016/0370-2693(92)90129-R
- Tetradis, N., Wetterich, C., (1993) Nucl. Phys., 398, p. 659. , 37 NUPBBO 0550-3213 10.1016/0550-3213(93)90608-R
- Marko, G., Reinosa, U., Szep, Zs., Marko, G., Reinosa, U., Szep, Zs., (2012) Phys. Rev. D, 86, p. 085031. , 38a PRVDAQ 1550-7998 10.1103/PhysRevD.86.085031
- Marko, G., Reinosa, U., (2013) Zs. Szep Phys. Rev. D, 87, p. 105001. , PRVDAQ 1550-7998 10.1103/PhysRevD.87.105001
- López Nacir, D.L., Mazzitelli, F.D., Trombetta, L.G., 39, (unpublished); Calzetta, E., Hu, B.L., (2008) Nonequilibrium Quantum Field Theory, , 40, (Cambridge University Press, Cambridge, England)
- Ramsey, S.A., Hu, B.L., (1997) Phys. Rev. D, 56, p. 661. , 41 PRVDAQ 0556-2821 10.1103/PhysRevD.56.661
- Paz, J.P., Mazzitelli, F.D., (1988) Phys. Rev. D, 37, p. 2170. , 42 PRVDAQ 0556-2821 10.1103/PhysRevD.37.2170
- Reinosa, U., Szep, Z., (2011) Phys. Rev. D, 83, p. 125026. , 43 PRVDAQ 1550-7998 10.1103/PhysRevD.83.125026
Citas:
---------- APA ----------
López Nacir, D.L., Mazzitelli, F.D. & Trombetta, L.G.
(2014)
. Hartree approximation in curved spacetimes revisited: The effective potential in de Sitter spacetime. Physical Review D - Particles, Fields, Gravitation and Cosmology, 89(2).
http://dx.doi.org/10.1103/PhysRevD.89.024006---------- CHICAGO ----------
López Nacir, D.L., Mazzitelli, F.D., Trombetta, L.G.
"Hartree approximation in curved spacetimes revisited: The effective potential in de Sitter spacetime"
. Physical Review D - Particles, Fields, Gravitation and Cosmology 89, no. 2
(2014).
http://dx.doi.org/10.1103/PhysRevD.89.024006---------- MLA ----------
López Nacir, D.L., Mazzitelli, F.D., Trombetta, L.G.
"Hartree approximation in curved spacetimes revisited: The effective potential in de Sitter spacetime"
. Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 89, no. 2, 2014.
http://dx.doi.org/10.1103/PhysRevD.89.024006---------- VANCOUVER ----------
López Nacir, D.L., Mazzitelli, F.D., Trombetta, L.G. Hartree approximation in curved spacetimes revisited: The effective potential in de Sitter spacetime. Phys Rev D Part Fields Gravit Cosmol. 2014;89(2).
http://dx.doi.org/10.1103/PhysRevD.89.024006