Inflationary Magnetogenesis with Helical Coupling
Keywords:primordial magnetic fields, inflation
We describe a simple scenario of inflationary magnetogenesis based on a helical coupling to electromagnetism. It allows the generation of helical magnetic fields with strength of order up to 10−7 Gs, when extrapolated to the current epoch, in a narrow spectral band centered at any physical wavenumber after the adjustment of model parameters. The additional constraints on magnetic fields arise from the considerations of baryogenesis and, possibly, from the Schwinger effect of the creation of charged particle-antiparticle pairs.
U. Klein, A. Fletcher. Galactic and Intergalactic Magnetic Fields (Springer, 2015) [ISBN: 978-3-319-08941-6]. https://doi.org/10.1007/978-3-319-08942-3
F. Tavecchio, G. Ghisellini, L. Foschini, G. Bonnoli, G. Ghirlanda, P. Coppi. The intergalactic magnetic field constrained by Fermi/Large Area Telescope observations of the TeV blazar 1ES 0229+200. Mon. Not. Roy. Astron. Soc. 406, L70 (2010). https://doi.org/10.1111/j.1745-3933.2010.00884.x
S. Ando, A. Kusenko. Evidence for gamma-ray halos around active galactic nuclei and the first measurement of intergalactic magnetic fields. Astrophys. J. 722, L39 (2010). https://doi.org/10.1088/2041-8205/722/1/L39
A. Neronov, I. Vovk. Evidence for strong extragalactic magnetic fields from Fermi observations of TeV blazars. Science 328, 73 (2010). https://doi.org/10.1126/science.1184192
K. Dolag, M. Kachelriess, S. Ostapchenko, R. Tom'as. Lower limit on the strength and filling factor of extragalactic magnetic fields. Astrophys. J. Lett. 727, L4 (2011). https://doi.org/10.1088/2041-8205/727/1/L4
A.M. Taylor, I. Vovk, A. Neronov. Extragalactic magnetic fields constraints from simultaneous GeV-TeV observations of blazars. Astron. Astrophys. 529, A144 (2011). https://doi.org/10.1051/0004-6361/201116441
R. Durrer, A. Neronov. Cosmological magnetic fields: Their generation, evolution and observation. Astron. Astrophys. Rev. 21, 62 (2013). https://doi.org/10.1007/s00159-013-0062-7
K. Subramanian. The origin, evolution and signatures of primordial magnetic fields. Rept. Prog. Phys. 79, 076901 (2016). https://doi.org/10.1088/0034-4885/79/7/076901
M.S. Turner, L.M. Widrow. Inflation-produced, large-scale magnetic fields. Phys. Rev. D 37, 2743 (1988). https://doi.org/10.1103/PhysRevD.37.2743
B. Ratra. Cosmological "seed" magnetic field from inflation. Astrophys. J. 391, L1 (1992). https://doi.org/10.1086/186384
V. Demozzi, V. Mukhanov, H. Rubinstein. Magnetic fields from inflation? JCAP 08, 025 (2009). https://doi.org/10.1088/1475-7516/2009/08/025
F.R. Urban. On inflating magnetic fields, and the backreactions thereof. JCAP 12, 012 (2011). https://doi.org/10.1088/1475-7516/2011/12/012
H. Bazrafshan Moghaddam, E. McDonough, R. Namba, R.H. Brandenberger. Inflationary magneto-(non)genesis, increasing kinetic couplings, and the strong coupling problem. Class. Quant. Grav. 35, 105015 (2018). https://doi.org/10.1088/1361-6382/aaba22
C. Caprini, L. Sorbo. Adding helicity to inflationary magnetogenesis. JCAP 10, 056 (2014). https://doi.org/10.1088/1475-7516/2014/10/056
R. Sharma, S. Jagannathan, T.R. Seshadri, K. Subramanian. Challenges in inflationary magnetogenesis: Constraints from strong coupling, backreaction, and the Schwinger effect. Phys. Rev. D 96, 083511 (2017). https://doi.org/10.1103/PhysRevD.96.083511
R. Sharma, K. Subramanian, T.R. Seshadri. Generation of helical magnetic field in a viable scenario of inflationary magnetogenesis. Phys. Rev. D 97, 083503 (2018). https://doi.org/10.1103/PhysRevD.97.083503
R. Durrer, L. Hollenstein, R.K. Jain. Can slow roll inflation induce relevant helical magnetic fields? JCAP 03, 037 (2011). https://doi.org/10.1088/1475-7516/2011/03/037
R.K. Jain, R. Durrer, L. Hollenstein. Generation of helical magnetic fields from inflation. J. Phys. Conf. Ser. 484, 012062 (2014). https://doi.org/10.1088/1742-6596/484/1/012062
T. Fujita, R. Namba, Y. Tada, N. Takeda, H. Tashiro. Consistent generation of magnetic fields in axion inflation models. JCAP 1505, 054 (2015). https://doi.org/10.1088/1475-7516/2015/05/054
L. Campanelli. Helical magnetic fields from inflation. Int. J. Mod. Phys. D 18, 1395 (2009). https://doi.org/10.1142/S0218271809015175
Y. Shtanov. Viable inflationary magnetogenesis with helical coupling. JCAP 10, 008 (2019). https://doi.org/10.1088/1475-7516/2019/10/008
K. Kajantie, M. Laine, K. Rummukainen, M.E. Shaposhnikov. A non-perturbative analysis of the finite-T phase transition in SU(2)?U(1) electroweak theory. Nucl. Phys. B 493, 413 (1997). https://doi.org/10.1016/S0550-3213(97)00164-8
M. D'Onofrio, K. Rummukainen. Standard model crossover on the lattice. Phys. Rev. D 93, 025003 (2016). https://doi.org/10.1103/PhysRevD.93.025003
M. Giovannini, M.E. Shaposhnikov. Primordial magnetic fields, anomalous matter-antimatter fluctuations and big bang nucleosynthesis. Phys. Rev. Lett. 80, 22 (1998). https://doi.org/10.1103/PhysRevLett.80.22
M. Giovannini, M.E. Shaposhnikov. Primordial hypermagnetic fields and triangle anomaly. Phys. Rev. D 57, 2186 (1998). https://doi.org/10.1103/PhysRevD.57.2186
K. Bamba. Baryon asymmetry from hypermagnetic helicity in dilaton hypercharge electromagnetism. Phys. Rev. D 74, 123504 (2006). https://doi.org/10.1103/PhysRevD.74.123504
M.M. Anber, E. Sabancilar. Hypermagnetic fields and baryon asymmetry from pseudoscalar inflation. Phys. Rev. D 92, 101501(R) (2015). https://doi.org/10.1103/PhysRevD.92.101501
T. Fujita, K. Kamada. Large-scale magnetic fields can explain the baryon asymmetry of the Universe. Phys. Rev. D 93, 083520 (2016). https://doi.org/10.1103/PhysRevD.93.083520
K. Kamada, A.J. Long. Baryogenesis from decaying magnetic helicity. Phys. Rev. D 94, 063501 (2016). https://doi.org/10.1103/PhysRevD.94.063501
K. Kamada, A.J. Long. Evolution of the baryon asymmetry through the electroweak crossover in the presence of a helical magnetic field. Phys. Rev. D 94, 123509 (2016). https://doi.org/10.1103/PhysRevD.94.123509
D. Jim?enez, K. Kamada, K. Schmitz, X.-J. Xu. Baryon asymmetry and gravitational waves from pseudoscalar inflation. JCAP 12, 011 (2017). https://doi.org/10.1088/1475-7516/2017/12/011
NIST Handbook of Mathematical Functions F.W.J. Olver, D.W. Lozier, R.F. Boisvert, C.W. Clark (eds.) (NIST & Cambridge Univ. Press, 2010) [ISBN: 978-0-521-19225-5].
T. Kobayashi, N. Afshordi. Schwinger effect in 4D de Sitter space and constraints on magnetogenesis in the early universe. JHEP 1410, 166 (2014). https://doi.org/10.1007/JHEP10(2014)166
O.O. Sobol, E.V. Gorbar, M.Kamarpour, S.I. Vilchinskii. Influence of backreaction of electric fields and Schwinger effect on inflationary magnetogenesis. Phys. Rev. D 98, 063534 (2018). https://doi.org/10.1103/PhysRevD.98.063534
O.O. Sobol, E.V. Gorbar, S.I. Vilchinskii. Backreaction of electromagnetic fields and the Schwinger effect in pseudoscalar inflation magnetogenesis. Phys. Rev. D 100, 063523 (2019). https://doi.org/10.1103/PhysRevD.100.063523
How to Cite
License to Publish the Paper
The corresponding author and the co-authors (hereon referred to as the Author(s)) of the paper being submitted to the Ukrainian Journal of Physics (hereon referred to as the Paper) from one side and the Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine, represented by its Director (hereon referred to as the Publisher) from the other side have come to the following Agreement:
1. Subject of the Agreement.
The Author(s) grant(s) the Publisher the free non-exclusive right to use the Paper (of scientific, technical, or any other content) according to the terms and conditions defined by this Agreement.
2. The ways of using the Paper.
2.1. The Author(s) grant(s) the Publisher the right to use the Paper as follows.
2.1.1. To publish the Paper in the Ukrainian Journal of Physics (hereon referred to as the Journal) in original language and translated into English (the copy of the Paper approved by the Author(s) and the Publisher and accepted for publication is a constitutive part of this License Agreement).
2.1.2. To edit, adapt, and correct the Paper by approval of the Author(s).
2.1.3. To translate the Paper in the case when the Paper is written in a language different from that adopted in the Journal.
2.2. If the Author(s) has(ve) an intent to use the Paper in any other way, e.g., to publish the translated version of the Paper (except for the case defined by Section 2.1.3 of this Agreement), to post the full Paper or any its part on the web, to publish the Paper in any other editions, to include the Paper or any its part in other collections, anthologies, encyclopaedias, etc., the Author(s) should get a written permission from the Publisher.
3. License territory.
The Author(s) grant(s) the Publisher the right to use the Paper as regulated by sections 2.1.1–2.1.3 of this Agreement on the territory of Ukraine and to distribute the Paper as indispensable part of the Journal on the territory of Ukraine and other countries by means of subscription, sales, and free transfer to a third party.
4.1. This Agreement is valid starting from the date of signature and acts for the entire period of the existence of the Journal.
5.1. The Author(s) warrant(s) the Publisher that:
– he/she is the true author (co-author) of the Paper;
– copyright on the Paper was not transferred to any other party;
– the Paper has never been published before and will not be published in any other media before it is published by the Publisher (see also section 2.2);
– the Author(s) do(es) not violate any intellectual property right of other parties. If the Paper includes some materials of other parties, except for citations whose length is regulated by the scientific, informational, or critical character of the Paper, the use of such materials is in compliance with the regulations of the international law and the law of Ukraine.
6. Requisites and signatures of the Parties.
Publisher: Bogolyubov Institute for Theoretical Physics, National Academy of Sciences of Ukraine.
Address: Ukraine, Kyiv, Metrolohichna Str. 14-b.
Author: Electronic signature on behalf and with endorsement of all co-authors.