The hubble effective potential

Journal of Cosmology and Astroparticle Physics

Volumn 2009, Issue 5, 2009, Pages

  Janssen, T M ^a   Miao, S P ^a   Prokopec, T ^a   Woodard, R P ^b  

^a UTRECHT UNIVERSITY   (Netherlands)

^b University of Florida ^*  (United States)

Author keywords

Cosmological phase transitions; Inflation; Quantum cosmology; Quantum field theory on curved space

Indexed keywords

EID: 70350694278     PISSN: 14757516     EISSN: 14757516     Source Type: Journal    
DOI: 10.1088/1475-7516/2009/05/003     Document Type: Article

References (77)

1. J.S. Schwinger, 1951 On gauge invariance and vacuum polarization, Phys. Rev. 82 664
2. B.S. DeWitt, 1965 The dynamical theory of groups and fields, Gordon and Breach, New York U.S.A.
3. L.F. Abbott, 1982 Introduction to the background field method, Acta Phys. Polon. B 13 33
4. J.S. Schwinger, 1961 Brownian motion of a quantum oscillator, J. Math. Phys. 2 407
5. K.T. Mahanthappa, 1962 Multiple production of photons in quantum electrodynamics, Phys. Rev. 126 329
6. P.M. Bakshi and K.T. Mahanthappa, 1963 Expectation value formalism in quantum field theory. 1, J. Math. Phys. 4 1
7. P.M. Bakshi and K.T. Mahanthappa, 1963 Expectation value formalism in quantum field theory. 2, J. Math. Phys. 4 12
8. L.V. Keldysh, 1964 Diagram technique for nonequilibrium processes, Zh. Eksp. Teor. Fiz. 47 1515
9. L.V. Keldysh, 1965 Sov. Phys. JETP 20 1018
10. R.D. Jordan, 1986 Effective field equations for expectation values, Phys. Rev. D 33 444
11. K.-C. Chou, Z.-B. Su, B.-l. Hao and L. Yu, 1985 Equilibrium and nonequilibrium formalisms made unified, Phys. Rept. 118 1
12. E. Calzetta and B.L. Hu, 1987 Closed time path functional formalism in curved space-time: application to cosmological back reaction problems, Phys. Rev. D 35 495
13. J. Berges, 2005 Introduction to nonequilibrium quantum field theory, AIP Conf. Proc. 739 3 [hep-ph/0409233]
14. L.H. Ford and R.P. Woodard, 2005 Stress tensor correlators in the Schwinger-Keldysh formalism, Class. Quant. Grav. 22 1637 [gr-qc/0411003]
15. B.S. DeWitt and R.W. Brehme, 1960 Radiation damping in a gravitational field, Ann. Phys. 9 220
16. R.T. Seeley, 1967 Complex powers of an elliptic operator, Proc. Symp. Pure Math. 10 288
17. B.S. DeWitt, 1975 Quantum field theory in curved space-time, Phys. Rept. 19 295
18. S.M. Christensen, 1978 Regularization, renormalization and covariant geodesic point separation, Phys. Rev. D 17 946
19. A.O. Barvinsky and G.A. Vilkovisky, 1985 The generalized Schwinger-Dewitt technique in gauge theories and quantum gravity, Phys. Rept. 119 1
20. T.M. Janssen, S.P. Miao, T. Prokopec and R.P. Woodard, 2008 Infrared propagator corrections for constant deceleration, Class. Quant. Grav. 25 245013 [0808.2449]
21. T.S. Bunch and P.C.W. Davies, 1977 Covariant point splitting regularization for a scalar quantum field in a Robertson-Walker universe with spatial curvature, Proc. Roy. Soc. Lond. A 357 381
22. T. Janssen and T. Prokopec, A graviton propagator for inflation, [0707.3919]
23. T. Janssen, S.-P. Miao and T. Prokopec, Graviton one-loop effective action and inflationary dynamics, [0807.0439]
24. L.H. Ford and L. Parker, 1977 Infrared divergences in a class of Robertson-Walker universes, Phys. Rev. D 16 245
25. T. Janssen and T. Prokopec, Implications of the graviton one-loop effective action on the dynamics of the universe, [0807.0447]
26. A. Vilenkin, 1983 Quantum fluctuations in the new inflationary universe, Nucl. Phys. B 226 527
27. S.A. Fulling, M. Sweeny and R.M. Wald, 1978 Singularity structure of the two point function in quantum field theory in curved space-time, Commun. Math. Phys. 63 257
28. N.C. Tsamis and R.P. Woodard, 1994 The physical basis for infrared divergences in inflationary quantum gravity, Class. Quant. Grav. 11 2969
29. 4, Class. Quant. Grav. 19 4607 [gr-qc/0204065]
30. V.K. Onemli and R.P. Woodard, 2004 Quantum effects can render w < -1 on cosmological scales, Phys. Rev. D 70 107301 [gr-qc/0406098]
31. J. Iliopoulos, T.N. Tomaras, N.C. Tsamis and R.P. Woodard, 1998 Perturbative quantum gravity and Newton's law on a flat Robertson-Walker background, Nucl. Phys. B 534 419 [gr-qc/9801028]
32. A. Bilandzic and T. Prokopec, 2007 Quantum radiative corrections to slow-roll inflation, Phys. Rev. D 76 103507 [0704.1905]
33. S.R. Coleman and E.J. Weinberg, 1973 Radiative corrections as the origin of spontaneous symmetry breaking, Phys. Rev. D 7 1888
34. F.L. Bezrukov and M. Shaposhnikov, 2008 The standard model Higgs boson as the inflaton, Phys. Lett. B 659 703 [0710.3755]
35. A.O. Barvinsky, A.Y. Kamenshchik and A.A. Starobinsky, 2008 Inflation scenario via the standard model Higgs boson and LHC, J. Cosmol. Astropart. Phys. JCAP11(2008)021 [0809.2104]
36. S. Hollands and R.M. Wald, 2003 On the renormalization group in curved spacetime, Commun. Math. Phys. 237 123 [gr-qc/0209029]
37. R.P. Woodard, 2008 Cosmology is not a renormalization group flow, Phys. Rev. Lett. 101 081301 [0805.3089]
38. S.-P. Miao and R.P. Woodard, 2006 Leading log solution for inflationary Yukawa, Phys. Rev. D 74 044019 [gr-qc/0602110]
39. T. Prokopec, N.C. Tsamis and R.P. Woodard, 2008 Stochastic inflationary scalar electrodynamics, Annals Phys. 323 1324 [0707.0847]
40. D.H. Lyth, 2007 The curvature perturbation in a box, J. Cosmol. Astropart. Phys. JCAP12(2007)016 [0707.0361]
41. N. Bartolo, S. Matarrese, M. Pietroni, A. Riotto and D. Seery, 2008 On the physical significance of infra-red corrections to inflationary observables, J. Cosmol. Astropart. Phys. JCAP01(2008)015 [0711.4263]
42. Y. Urakawa and T. Tanaka, No influence on observation from IR divergence during inflation I - single field inflation, [0902.3209]
43. Y. Wang and P. Mukherjee, 2006 Robust dark energy constraints from supernovae, galaxy clustering and three-year Wilkinson Microwave Anisotropy Probe observations, Astrophys. J. 650 1 [astro-ph/0604051]
44. U. Alam, V. Sahni and A.A. Starobinsky, 2007 Exploring the properties of dark energy using type Ia supernovae and other datasets, J. Cosmol. Astropart. Phys. JCAP02(2007)011 [astro-ph/0612381]
45. A.A. Starobinsky and J. Yokoyama, 1994 Equilibrium state of a selfinteracting scalar field in the de Sitter background, Phys. Rev. D 50 6357 [astro-ph/9407016]
46. N.C. Tsamis and R.P. Woodard, 1996 Quantum gravity slows inflation, Nucl. Phys. B 474 235 [hep-ph/9602315]
47. N.C. Tsamis and R.P. Woodard, 1996 One loop graviton self-energy in a locally de Sitter background, Phys. Rev. D 54 2621 [hep-ph/9602317]
48. N.C. Tsamis and R.P. Woodard, 1997 The quantum gravitational back-reaction on inflation, Annals Phys. 253 1 [hep-ph/9602316]
49. N.C. Tsamis and R.P. Woodard, 2009 A simplified quantum gravitational model of inflation, Class. Quant. Grav. 26 105006 [0807.5006]
50. T. Prokopec, O. Tornkvist and R.P. Woodard, 2002 Photon mass from inflation, Phys. Rev. Lett. 89 101301 [astro-ph/0205331]
51. T. Prokopec, O. Tornkvist and R.P. Woodard, 2003 One loop vacuum polarization in a locally de Sitter background, Ann. Phys. 303 251 [gr-qc/0205130]
52. T. Prokopec and R.P. Woodard, 2003 Production of massless fermions during inflation, J. High Energy Phys. JHEP10(2003)059 [astro-ph/0309593]
53. T. Prokopec and R.P. Woodard, 2004 Dynamics of super-horizon photons during inflation with vacuum polarization, Annals Phys. 312 1 [gr-qc/0310056]
54. T. Prokopec and E. Puchwein, 2004 Photon mass generation during inflation: de Sitter invariant case, J. Cosmol. Astropart. Phys. JCAP04(2004)007 [astro-ph/0312274]
55. T. Prokopec, N.C. Tsamis and R.P. Woodard, 2007 Two loop scalar bilinears for inflationary SQED, Class. Quant. Grav. 24 201 [gr-qc/0607094]
56. T. Prokopec, N.C. Tsamis and R.P. Woodard, 2008 Two loop stress-energy tensor for inflationary scalar electrodynamics, Phys. Rev. D 78 043523 [0802.3673]
57. S. Weinberg, 2005 Quantum contributions to cosmological correlations, Phys. Rev. D 72 043514 [hep-th/0506236]
58. S. Weinberg, 2006 Quantum contributions to cosmological correlations. II: can these corrections become large?, Phys. Rev. D 74 023508 [hep-th/0605244]
59. T. Brunier, V.K. Onemli and R.P. Woodard, 2005 Two loop scalar self-mass during inflation, Class. Quant. Grav. 22 59 [gr-qc/0408080]
60. D. Boyanovsky, H.J. de Vega and N.G. Sanchez, 2006 Quantum corrections to slow roll inflation and new scaling of superhorizon fluctuations, Nucl. Phys. B 747 25 [astro-ph/0503669]
61. D. Boyanovsky, H.J. de Vega and N.G. Sanchez, 2005 Quantum corrections to the inflaton potential and the power spectra from superhorizon modes and trace anomalies, Phys. Rev. D 72 103006 [astro-ph/0507596]
62. M.S. Sloth, 2006 On the one loop corrections to inflation and the CMB anisotropies, Nucl. Phys. B 748 149 [astro-ph/0604488]
63. K. Chaicherdsakul, 2007 Quantum cosmological correlations in an inflating universe: can fermion and gauge fields loops give a scale free spectrum?, Phys. Rev. D 75 063522 [hep-th/0611352]
64. M. van der Meulen and J. Smit, 2007 Classical approximation to quantum cosmological correlations, J. Cosmol. Astropart. Phys. JCAP11(2007)023 [0707.0842]
65. E.O. Kahya and V.K. Onemli, 2007 Quantum stability of a w < - 1 phase of cosmic acceleration, Phys. Rev. D 76 043512 [gr-qc/0612026]
66. S.-P. Miao and R.P. Woodard, 2006 The fermion self-energy during inflation, Class. Quant. Grav. 23 1721 [gr-qc/0511140]
67. S.-P. Miao and R.P. Woodard, 2006 Gravitons enhance fermions during inflation, Phys. Rev. D 74 024021 [gr-qc/0603135]
68. S.-P. Miao and R.P. Woodard, 2008 A simple operator check of the effective fermion mode function during inflation, Class. Quant. Grav. 25 2008 145009 [0803.2377]
69. Y. Urakawa and K.-I. Maeda, 2008 One-loop corrections to scalar and tensor perturbations during inflation in stochastic gravity, Phys. Rev. D 78 064004 [0801.0126]
70. A. Riotto and M.S. Sloth, 2008 On resumming inflationary perturbations beyond one-loop, J. Cosmol. Astropart. Phys. JCAP04(2008)030 [0801.1845]
71. K. Enqvist, S. Nurmi, D. Podolsky and G.I. Rigopoulos, 2008 On the divergences of inflationary superhorizon perturbations, J. Cosmol. Astropart. Phys. JCAP04(2008)025 [0802.0395]
72. K. Enqvist, S. Nurmi and G.I. Rigopoulos, 2008 Parametric decay of the curvaton, J. Cosmol. Astropart. Phys. JCAP10(2008)013 [0807.0382]
73. A.E. Romano and M. Sasaki, 2008 Effects of particle production during inflation, Phys. Rev. D 78 103522 [0809.5142]
74. B. Garbrecht and T. Prokopec, 2006 Fermion mass generation in de Sitter space, Phys. Rev. D 73 064036 [gr-qc/0602011]
75. I.L. Buchbinder and S.D. Odintsov, 1985 Effective potential and phase transitions induced by curvature in gauge theories in curved space-time, Yad. Fiz. 42 1268
76. I.L. Buchbinder and S.D. Odintsov Class. Quant. Grav. 2 1985 721
77. A.O. Barvinsky, A.Y. Kamenshchik, C. Kiefer, A.A. Starobinsky and C. Steinwachs, Asymptotic freedom in inflationary cosmology with a non-minimally coupled Higgs field, [0904.1698]