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Reduced bispectrum seeded by helical primordial magnetic fields. (English) Zbl 1515.83101


MSC:

83C50 Electromagnetic fields in general relativity and gravitational theory

Software:

xAct; Mathematica

References:

[1] A. Neronov and I. Vovk, 2010 Evidence for strong extragalactic magnetic fields from Fermi observations of TeV blazars, Science328 73 [1006.3504] · doi:10.1126/science.1184192
[2] K. Dolag, M. Kachelriess, S. Ostapchenko and R. Tomas, 2011 Lower limit on the strength and filling factor of extragalactic magnetic fields, Astrophys. J.727 L4 [1009.1782] · doi:10.1088/2041-8205/727/1/L4
[3] A. Mack, T. Kahniashvili and A. Kosowsky, 2002 Microwave background signatures of a primordial stochastic magnetic field, Phys. Rev. D 65 123004 [astro-ph/0105504] · doi:10.1103/PhysRevD.65.123004
[4] L.M. Widrow, 2002 Origin of galactic and extragalactic magnetic fields, Rev. Mod. Phys.74 775 [astro-ph/0207240] · doi:10.1103/RevModPhys.74.775
[5] F. Tavecchio, G. Ghisellini, G. Bonnoli and L. Foschini, 2011 Extreme TeV blazars and the intergalactic magnetic field, Mon. Not. Roy. Astron. Soc.414 3566 [1009.1048] · doi:10.1111/j.1365-2966.2011.18657.x
[6] K. Subramanian, 2016 The origin, evolution and signatures of primordial magnetic fields, Rept. Prog. Phys.79 076901 [1504.02311] · doi:10.1088/0034-4885/79/7/076901
[7] C. Bonvin and C. Caprini, 2010 CMB temperature anisotropy at large scales induced by a causal primordial magnetic field J. Cosmol. Astropart. Phys.2010 05 022 [1004.1405]
[8] H.J. Hortúa, L. Castañeda and J.M. Tejeiro, 2013 Evolution of magnetic fields through cosmological perturbation theory, Phys. Rev. D 87 103531 [1104.0701] · doi:10.1103/PhysRevD.87.103531
[9] A.G. Tevzadze, L. Kisslinger, A. Brandenburg and T. Kahniashvili, 2012 Magnetic fields from QCD phase transitions, Astrophys. J.759 54 [1207.0751] · doi:10.1088/0004-637X/759/1/54
[10] T. Kahniashvili, A.G. Tevzadze and B. Ratra, 2011 Phase transition generated cosmological magnetic field at large scales, Astrophys. J.726 78 [0907.0197] · doi:10.1088/0004-637X/726/2/78
[11] D. Grasso and H.R. Rubinstein, 2001 Magnetic fields in the early universe, Phys. Rept.348 163 [astro-ph/0009061] · doi:10.1016/S0370-1573(00)00110-1
[12] D. Grasso and A. Riotto, 1998 On the nature of the magnetic fields generated during the electroweak phase transition, Phys. Lett. B 418 258 [hep-ph/9707265] · doi:10.1016/S0370-2693(97)01224-0
[13] S. Matarrese, S. Mollerach, A. Notari and A. Riotto, 2005 Large-scale magnetic fields from density perturbations, Phys. Rev. D 71 043502 [astro-ph/0410687] · doi:10.1103/PhysRevD.71.043502
[14] S. Kanno, J. Soda and M.-A. Watanabe, 2009 Cosmological magnetic fields from inflation and backreaction J. Cosmol. Astropart. Phys.2009 12 009 [0908.3509]
[15] J. Martin and J. Yokoyama, 2008 Generation of large-scale magnetic fields in single-field inflation J. Cosmol. Astropart. Phys.2008 01 025 [0711.4307]
[16] T. Fujita, R. Namba, Y. Tada, N. Takeda and H. Tashiro, 2015 Consistent generation of magnetic fields in axion inflation models J. Cosmol. Astropart. Phys.2015 05 054 [1503.05802]
[17] M.M. Anber and L. Sorbo, 2006 N-flationary magnetic fields J. Cosmol. Astropart. Phys.2006 10 018 [astro-ph/0606534]
[18] M. Giovannini, 2008 Magnetic fields, strings and cosmology Lect Notes Phys.737 863 [astro-ph/0612378] · Zbl 1157.83301 · doi:10.1007/978-3-540-74233-3_26
[19] M. Giovannini and M.E. Shaposhnikov, 2000 Primordial magnetic fields from inflation?, Phys. Rev. D 62 103512 [hep-ph/0004269] · doi:10.1103/PhysRevD.62.103512
[20] M. Giovannini, 2013 Bootstrapping from inflationary magnetogenesis to CMB initial conditions, Class. Quant. Grav.30 205017 [1303.3895] · Zbl 1276.83058 · doi:10.1088/0264-9381/30/20/205017
[21] M. Giovannini, 2010 Electric-magnetic duality and the conditions of inflationary magnetogenesis J. Cosmol. Astropart. Phys.2010 04 003 [0911.0896]
[22] R.J.Z. Ferreira, R.K. Jain and M.S. Sloth, 2013 Inflationary magnetogenesis without the strong coupling problem J. Cosmol. Astropart. Phys.2013 10 004 [1305.7151]
[23] R.J.Z. Ferreira, R.K. Jain and M.S. Sloth, 2014 Inflationary magnetogenesis without the strong coupling problem II: constraints from CMB anisotropies and B-modes J. Cosmol. Astropart. Phys.2014 06 053 [1403.5516]
[24] T. Kobayashi, 2014 Primordial magnetic fields from the post-inflationary universe J. Cosmol. Astropart. Phys.2014 05 040 [1403.5168]
[25] D. Green and T. Kobayashi, 2016 Constraints on primordial magnetic fields from inflation J. Cosmol. Astropart. Phys.2016 03 010 [1511.08793]
[26] C. Bonvin, C. Caprini and R. Durrer, 2012 Magnetic fields from inflation: the transition to the radiation era, Phys. Rev. D 86 023519 [1112.3901] · doi:10.1103/PhysRevD.86.023519
[27] L. Campanelli, 2013 Origin of cosmic magnetic fields, Phys. Rev. Lett.111 061301 [1304.6534] · doi:10.1103/PhysRevLett.111.061301
[28] L. Campanelli, 2009 Helical magnetic fields from inflation, Int. J. Mod. Phys. D 18 1395 [0805.0575] · Zbl 1181.83216 · doi:10.1142/S0218271809015175
[29] C. Caprini and L. Sorbo, 2014 Adding helicity to inflationary magnetogenesis J. Cosmol. Astropart. Phys.2014 10 056 [1407.2809]
[30] K.E. Kunze, 2005 Primordial magnetic seed fields from extra dimensions, Phys. Lett. B 623 1 [hep-ph/0506212] · doi:10.1016/j.physletb.2005.07.051
[31] R. Gwyn, S.H. Alexander, R.H. Brandenberger and K. Dasgupta, 2009 Magnetic fields from heterotic cosmic strings, Phys. Rev. D 79 083502 [0811.1993] · doi:10.1103/PhysRevD.79.083502
[32] M. Giovannini, 2008 Magnetic fields, strings and cosmology Lect Notes Phys.737 863 [astro-ph/0612378] . · Zbl 1157.83301 · doi:10.1007/978-3-540-74233-3_26
[33] R.H. Brandenberger and X.-M. Zhang, 1999 Anomalous global strings and primordial magnetic fields, Phys. Rev. D 59 081301 [hep-ph/9808306] · doi:10.1103/PhysRevD.59.081301
[34] C. Bonvin and C. Caprini, 2010 CMB temperature anisotropy at large scales induced by a causal primordial magnetic field J. Cosmol. Astropart. Phys.2010 05 022 [1004.1405]
[35] T. Kahniashvili, A.G. Tevzadze, S.K. Sethi, K. Pandey and B. Ratra, 2010 Primordial magnetic field limits from cosmological data, Phys. Rev. D 82 083005 [1009.2094] · doi:10.1103/PhysRevD.82.083005
[36] M. Shiraishi, 2013 Polarization bispectrum for measuring primordial magnetic fields J. Cosmol. Astropart. Phys.2013 11 006 [1308.2531]
[37] H.J. Hortúa and L. Castañeda, 2014 Power spectrum of post-inflationary primordial magnetic fields, Phys. Rev. D 90 123520 [1405.1786] · doi:10.1103/physrevd.90.123520
[38] M. Ballardini, F. Finelli and D. Paoletti, 2015 CMB anisotropies generated by a stochastic background of primordial magnetic fields with non-zero helicity J. Cosmol. Astropart. Phys.2015 10 031 [1412.1836]
[39] D.G. Yamazaki and M. Kusakabe, 2012 Effects of power law primordial magnetic field on big bang nucleosynthesis, Phys. Rev. D 86 123006 [1212.2968] · doi:10.1103/PhysRevD.86.123006
[40] D.G. Yamazaki, 2014 CMB with the background primordial magnetic field, Phys. Rev. D 89 083528 [1404.5310] · doi:10.1103/PhysRevD.89.083528
[41] S. Choudhury, 2014 Inflamagnetogenesis redux: unzipping sub-Planckian inflation via various cosmoparticle probes, Phys. Lett. B 735 138 [1403.0676] · doi:10.1016/j.physletb.2014.06.029
[42] E.-J. Kim, A. Olinto and R. Rosner, 1996 Generation of density perturbations by primordial magnetic fields, Astrophys. J.468 28 [astro-ph/9412070] · doi:10.1086/177667
[43] J.R. Shaw and A. Lewis, 2010 Massive neutrinos and magnetic fields in the early universe, Phys. Rev. D 81 043517 [0911.2714] · doi:10.1103/PhysRevD.81.043517
[44] M. Giovannini, 2006 Entropy perturbations and large-scale magnetic fields, Class. Quant. Grav.23 4991 [astro-ph/0604134] · Zbl 1096.85506 · doi:10.1088/0264-9381/23/15/017
[45] D.G. Yamazaki, K. Ichiki, T. Kajino and G.J. Mathews, 2008 Effects of a primordial magnetic field on low and high multipoles of the CMB, Phys. Rev. D 77 043005 [0801.2572] · doi:10.1103/PhysRevD.77.043005
[46] D.G. Yamazaki, K. Ichiki and K. Takahashi, 2011 Effects of a primordial magnetic field with log-normal distribution on the cosmic microwave background, Phys. Rev. D 84 123006 [1112.6084] · doi:10.1103/PhysRevD.84.123006
[47] I. Brown and R. Crittenden, 2005 Non-Gaussianity from cosmic magnetic fields, Phys. Rev. D 72 063002 [astro-ph/0506570] · doi:10.1103/PhysRevD.72.063002
[48] P. Trivedi, K. Subramanian and T.R. Seshadri, 2010 Primordial magnetic field limits from cosmic microwave background bispectrum of magnetic passive scalar modes, Phys. Rev. D 82 123006 [1009.2724] · doi:10.1103/PhysRevD.82.123006
[49] P. Trivedi, K. Subramanian and T.R. Seshadri, 2014 Primordial magnetic field limits from the CMB trispectrum: scalar modes and Planck constraints, Phys. Rev. D 89 043523 [1312.5308] · doi:10.1103/PhysRevD.89.043523
[50] T.R. Seshadri and K. Subramanian, 2009 CMB bispectrum from primordial magnetic fields on large angular scales, Phys. Rev. Lett.103 081303 [0902.4066] · doi:10.1103/PhysRevLett.103.081303
[51] M. Shiraishi, 2012 Parity violation of primordial magnetic fields in the CMB bispectrum J. Cosmol. Astropart. Phys.2012 06 015 [1202.2847]
[52] M. Shiraishi, D. Nitta, S. Yokoyama, K. Ichiki and K. Takahashi, 2011 Computation approach for CMB bispectrum from primordial magnetic fields, Phys. Rev. D 83 123523 [1101.5287] · doi:10.1103/PhysRevD.83.123523
[53] M. Shiraishi, 2013 Probing the early universe with the CMB scalar, vector and tensor bispectrum, Springer Theses Springer Japan [ISBN:978-4-431-54179-0] [ISBN:978-4-431-54180-6] [1210.2518] · Zbl 1279.85003 · doi:10.1007/978-4-431-54180-6
[54] C. Caprini, F. Finelli, D. Paoletti and A. Riotto, 2009 The cosmic microwave background temperature bispectrum from scalar perturbations induced by primordial magnetic fields, Springer Theses Springer Japan, [ISBN:978-4-431-54179-0] [ISBN:978-4-431-54180-6] [1210.2518]
[55] C. Caprini, F. Finelli, D. Paoletti and A. Riotto, 2009 The cosmic microwave background temperature bispectrum from scalar perturbations induced by primordial magnetic fields, Springer Theses Springer Japan, [ISBN:978-4-431-54179-0] [ISBN:978-4-431-54180-6] [1210.2518]
[56] C. Caprini, F. Finelli, D. Paoletti and A. Riotto, 2009 The cosmic microwave background temperature bispectrum from scalar perturbations induced by primordial magnetic fieldsJ. Cosmol. Astropart. Phys. 2009 06 021 [0903.1420]
[57] I. Brown and R. Crittenden, 2005 Non-Gaussianity from cosmic magnetic fields, Phys. Rev. D 72 063002 [astro-ph/0506570] · doi:10.1103/PhysRevD.72.063002
[58] Planck collaboration, P.A.R. Ade et al., 2016 Planck 2015 results XIX. Constraints on primordial magnetic fields, Astron. Astrophys.594 A19 [1502.01594] · doi:10.1051/0004-6361/201525821
[59] POLARBEAR collaboration, P.A.R. Ade et al., 2015 POLARBEAR constraints on cosmic birefringence and primordial magnetic fields, Phys. Rev. D 92 123509 [1509.02461] · doi:10.1103/PhysRevD.92.123509
[60] R. Durrer and A. Neronov, 2013 Cosmological magnetic fields: their generation, evolution and observation, Astron. Astrophys. Rev.21 62 [1303.7121] · doi:10.1007/s00159-013-0062-7
[61] E.F. Piratova, E.A. Reyes and H.J. Hortúa, Helical magnetic fields via baryon asymmetry, [1409.1567]
[62] C.J. Copi, F. Ferrer, T. Vachaspati and A. Achucarro, 2008 Helical magnetic fields from sphaleron decay and baryogenesis, Phys. Rev. Lett.101 171302 [0801.3653] · doi:10.1103/PhysRevLett.101.171302
[63] T. Kahniashvili, A. Brandenburg, R. Durrer, A.G. Tevzadze and W. Yin, Scale-invariant helical magnetic field evolution and the duration of inflation, [1610.03139]
[64] R. Durrer and C. Caprini, 2003 Primordial magnetic fields and causality J. Cosmol. Astropart. Phys.2003 11 010 [astro-ph/0305059]
[65] C. Caprini, R. Durrer and T. Kahniashvili, 2004 The cosmic microwave background and helical magnetic fields: the tensor mode, Phys. Rev. D 69 063006 [astro-ph/0304556] · doi:10.1103/PhysRevD.69.063006
[66] R. Durrer and M. Kunz, 1998 Cosmic microwave background anisotropies from scaling seeds: generic properties of the correlation functions, Phys. Rev. D 57 R3199 [astro-ph/9711133] · doi:10.1103/PhysRevD.57.3199
[67] I.A. Brown, Primordial magnetic fields in cosmology, [0812.1781]
[68] E. Komatsu and D.N. Spergel, 2001 Acoustic signatures in the primary microwave background bispectrum, Phys. Rev. D 63 063002 [astro-ph/0005036] · doi:10.1103/PhysRevD.63.063002
[69] L.-M. Wang and M. Kamionkowski, 2000 The cosmic microwave background bispectrum and inflation, Phys. Rev. D 61 063504 [astro-ph/9907431] · doi:10.1103/PhysRevD.61.063504
[70] J.R. Shaw and A. Lewis, 2010 Massive neutrinos and magnetic fields in the early universe, Phys. Rev. D 81 043517 [0911.2714] · doi:10.1103/PhysRevD.81.043517
[71] M. Giovannini, 2007 Semi-analytical approach to magnetized temperature autocorrelations, PMC Phys. A 1 5 [0706.4428] · doi:10.1186/1754-0410-1-5
[72] M. Shiraishi and T. Sekiguchi, 2014 First observational constraints on tensor non-Gaussianity sourced by primordial magnetic fields from cosmic microwave background, Phys. Rev. D 90 103002 [1304.7277] · doi:10.1103/PhysRevD.90.103002
[73] Planck collaboration, P.A.R. Ade et al., 2016 Planck 2015 results XVII. Constraints on primordial non-Gaussianity, Astron. Astrophys.594 A17 [1502.01592] · doi:10.1051/0004-6361/201525836
[74] T. Kahniashvili, A. Brandenburg, R. Durrer, A.G. Tevzadze and W. Yin, Scale-invariant helical magnetic field evolution and the duration of inflation, [1610.03139]
[75] Wolfram Research Inc, Mathematica, version 11.1, https://www.wolfram.com/mathematica/
[76] T. Tram, C. Fidler, R. Crittenden, K. Koyama, G.W. Pettinari and D. Wands, 2016 The intrinsic matter bispectrum in ΛCDM J. Cosmol. Astropart. Phys.2016 05 058 [1602.05933]
[77] J.M. Martín-García, xAct: efficient tensor computer algebra for Mathematica, http://www.xact.es/
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