Built on

D.D. Canko, I.D. Gialamas, and G.P. Kodaxis, A simple F ⁡ ( ℛ , ϕ ) F(\mathcal{R},\phi) deformation of Starobinsky inflationary model, Eur. Phys. J. C 80
Original
1901
Earlier work this paper cites.
Yu. Shtanov, Viable inflationary magnetogenesis with helical coupling, J. Cosmol. Astropart. Phys. 10 (2019) 008 [ arXiv: 1902.05894 [astro-ph.CO] ]
Original
1902
Earlier work this paper cites.
O.O. Sobol, E.V. Gorbar, and S.I. Vilchinskii, Backreaction of electromagnetic fields and the Schwinger effect in pseudoscalar inflation magnetogenesis, Phys. Rev. D 100
Original
1907
Earlier work this paper cites.
Y.V. Shtanov and M.V. Pavliuk, Inflationary magnetogenesis with helical coupling, Ukr. J. Phys. 64
Original
1911
Earlier work this paper cites.
I.D. Gialamas and A.B. Lahanas, Reheating in R 2 R^{2} Palatini inflationary models, Phys. Rev. D 101
Original
1911
Earlier work this paper cites.
M. Kamarpour, Magnetogenesis in Higgs inflation, Gen. Relativ. Gravit. 53
Original
1912
Earlier work this paper cites.
A. Palatini, Deduzione invariantiva delle equazioni gravitazionali dal principio di Hamilton (Invariant derivation of gravitational equations from Hamilton’s principle), Rend. Circ. Matem. Palermo 43
1919
Earlier work this paper cites.
S. Ando and A. Kusenko, Evidence for gamma-ray halos around active galactic nuclei and the first measurement of intergalactic magnetic fields, Astrophys. J. Lett. 722
Original
1924
Earlier work this paper cites.
A. Einstein, Einheitliche Feldtheorie von Gravitation und Elektrizität (Unified field theory of gravitation and electricity), Sitzungsber. Preuss. Akad. Wiss. Phys. Math. Kl. 22
1925
Earlier work this paper cites.
A.A. Starobinsky, A new type of isotropic cosmological models without singularity, Phys. Lett. 91B
1980
Earlier work this paper cites.
C.J. Hogan, Magnetohydrodynamic Effects of a First-Order Cosmological Phase Transition, Phys. Rev. Lett. 51
1983
Earlier work this paper cites.
M.S. Turner and L.M. Widrow, Inflation-produced, large-scale magnetic fields, Phys. Rev. D 37
1988
Earlier work this paper cites.
J.M. Quashnock, A. Loeb, and D.N. Spergel, Magnetic field generation during the cosmological QCD phase transition, Astrophys. J. 344
1989
Earlier work this paper cites.
Ya.B. Zeldovich, A.A. Ruzmaikin, and D.D. Sokoloff, Magnetic Fields in Astrophysics
1990
Earlier work this paper cites.
T. Vachaspati, Magnetic fields from cosmological phase transitions, Phys. Lett. B 265
1991
Earlier work this paper cites.
V.F. Mukhanov, H.A. Feldman, and R.H. Brandenberger, Theory of cosmological perturbations. Part 1. Classical perturbations. Part 2. Quantum theory of perturbations. Part 3. Extensions, Phys. Rep. 215
1992
Earlier work this paper cites.
B. Ratra, Cosmological ‘seed’ magnetic field from inflation, Astrophys. J. 391
1992
Earlier work this paper cites.
W. D. Garretson, G. B. Field, and S. M. Carroll, Primordial magnetic fields from pseudo-Goldstone bosons, Phys. Rev. D 46
1992
Earlier work this paper cites.
A.D. Dolgov, Breaking of conformal invariance and electromagnetic field generation in the Universe, Phys. Rev. D 48
1993
Earlier work this paper cites.
P.P. Kronberg, Extragalactic magnetic fields, Rep. Prog. Phys. 57
1994
Earlier work this paper cites.
B.-L. Cheng and A.V. Olinto, Primordial magnetic fields generated in the quark-hadron transition, Phys. Rev. D 50
1994
Earlier work this paper cites.
H. Lesch and M. Chiba, Protogalactic evolution and magnetic fields, Astron. Astrophys. 297
1995
Earlier work this paper cites.
R. Kulsrud, S.C. Cowley, A.V. Gruzinov, and R. N. Sudan, Dynamos and cosmic magnetic fields, Phys. Rep. 283
1997
Earlier work this paper cites.
G. Sigl, A.V. Olinto, and K. Jedamzik, Primordial magnetic fields from cosmological first order phase transitions, Phys. Rev. D 55
1997
Earlier work this paper cites.
J. Ahonen and K. Enqvist, Magnetic field generation in first order phase transition bubble collisions, Phys. Rev. D 57
1998
Earlier work this paper cites.
N.Y. Gnedin, A. Ferrara, and E.G. Zweibel, Generation of the primordial MF during cosmological reionization, Astrophys. J. 539
2000
Earlier work this paper cites.
D. Grasso and H.R. Rubinstein, Magnetic fields in the early Universe, Phys. Rep. 348
2001
Earlier work this paper cites.
S.A. Colgate and H. Li, The origin of the magnetic fields of the universe: The plasma astrophysics of the free energy of the Universe, Phys. Plasmas 8
2001
Earlier work this paper cites.
M. Giovannini, Variation of the gauge couplings during inflation, Phys. Rev. D 64
2001
Earlier work this paper cites.
T. Tenkanen, Tracing the high energy theory of gravity: An introduction to Palatini inflation, Gen. Relativ. Gravit. 52
Original
2001
Earlier work this paper cites.
L.M. Widrow, Origin of galactic and extragalactic magnetic fields, Rev. Mod. Phys. 74
2002
Earlier work this paper cites.
V. Domcke, V. Guidetti, Y. Welling, and A. Westphal, Resonant backreaction in axion inflation, J. Cosmol. Astropart. Phys. 09 (2020) 009 [ arXiv: 2002.02952 [astro-ph.CO] ]
Original
2002
Earlier work this paper cites.
M. Shaposhnikov, A. Shkerin, and S. Zell, Quantum effects in Palatini Higgs inflation, J. Cosmol. Astropart. Phys. 07 (2020) 064 [ arXiv: 2002.07105 [hep-ph] ]
Original
2002
Earlier work this paper cites.

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Y. Shtanov and M. Pavliuk, Model-independent constraints in inflationary magnetogenesis, J. Cosmol. Astropart. Phys. 08 (2020) 042 [ arXiv: 2004.00947 [astro-ph.CO] ]
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2022

Magnetogenesis in Higgs-Starobinsky inflation

Durrer, R., Sobol, O., Vilchinskii, S.

Understand

In the framework of mixed Higgs-Starobinsky inflation, we consider the generation of Abelian gauge fields due to their nonminimal coupling to gravity (in two different formulations of gravity -- metric and Palatini).

We couple the gauge-field invariants $F_{\mu\nu}F^{\mu\nu}$ and $F_{\mu\nu}\tilde{F}^{\mu\nu}$ to an integer power of the scalar curvature $R^n$ in Jordan frame and, treating these interactions perturbatively, switch to the Einstein frame where they lead to effective kinetic and axial couplings between gauge fields and inflaton.
We determine the power spectra, energy densities, correlation length, and helicality of the generated gauge fields for different values of the nonminimal coupling constants and parameter $n$.
We analytically estimate the spectral index $n_{B}$ of the magnetic power spectrum and show that for $n>1$ it is possible to get the scale-invariant or even red-tilted spectrum for a wide range of modes that implies larger correlation length of the generated fields.

Built on

D.D. Canko, I.D. Gialamas, and G.P. Kodaxis, A simple F ⁡ ( ℛ , ϕ ) F(\mathcal{R},\phi) deformation of Starobinsky inflationary model, Eur. Phys. J. C 80
Original
1901
Earlier work this paper cites.
Yu. Shtanov, Viable inflationary magnetogenesis with helical coupling, J. Cosmol. Astropart. Phys. 10 (2019) 008 [ arXiv: 1902.05894 [astro-ph.CO] ]
Original
1902
Earlier work this paper cites.
O.O. Sobol, E.V. Gorbar, and S.I. Vilchinskii, Backreaction of electromagnetic fields and the Schwinger effect in pseudoscalar inflation magnetogenesis, Phys. Rev. D 100
Original
1907
Earlier work this paper cites.
Y.V. Shtanov and M.V. Pavliuk, Inflationary magnetogenesis with helical coupling, Ukr. J. Phys. 64
Original
1911
Earlier work this paper cites.
I.D. Gialamas and A.B. Lahanas, Reheating in R 2 R^{2} Palatini inflationary models, Phys. Rev. D 101
Original
1911
Earlier work this paper cites.
M. Kamarpour, Magnetogenesis in Higgs inflation, Gen. Relativ. Gravit. 53
Original
1912
Earlier work this paper cites.
A. Palatini, Deduzione invariantiva delle equazioni gravitazionali dal principio di Hamilton (Invariant derivation of gravitational equations from Hamilton’s principle), Rend. Circ. Matem. Palermo 43
1919
Earlier work this paper cites.
S. Ando and A. Kusenko, Evidence for gamma-ray halos around active galactic nuclei and the first measurement of intergalactic magnetic fields, Astrophys. J. Lett. 722
Original
1924
Earlier work this paper cites.
A. Einstein, Einheitliche Feldtheorie von Gravitation und Elektrizität (Unified field theory of gravitation and electricity), Sitzungsber. Preuss. Akad. Wiss. Phys. Math. Kl. 22
1925
Earlier work this paper cites.
A.A. Starobinsky, A new type of isotropic cosmological models without singularity, Phys. Lett. 91B
1980
Earlier work this paper cites.
C.J. Hogan, Magnetohydrodynamic Effects of a First-Order Cosmological Phase Transition, Phys. Rev. Lett. 51
1983
Earlier work this paper cites.
M.S. Turner and L.M. Widrow, Inflation-produced, large-scale magnetic fields, Phys. Rev. D 37
1988
Earlier work this paper cites.
J.M. Quashnock, A. Loeb, and D.N. Spergel, Magnetic field generation during the cosmological QCD phase transition, Astrophys. J. 344
1989
Earlier work this paper cites.
Ya.B. Zeldovich, A.A. Ruzmaikin, and D.D. Sokoloff, Magnetic Fields in Astrophysics
1990
Earlier work this paper cites.
T. Vachaspati, Magnetic fields from cosmological phase transitions, Phys. Lett. B 265
1991
Earlier work this paper cites.
V.F. Mukhanov, H.A. Feldman, and R.H. Brandenberger, Theory of cosmological perturbations. Part 1. Classical perturbations. Part 2. Quantum theory of perturbations. Part 3. Extensions, Phys. Rep. 215
1992
Earlier work this paper cites.
B. Ratra, Cosmological ‘seed’ magnetic field from inflation, Astrophys. J. 391
1992
Earlier work this paper cites.
W. D. Garretson, G. B. Field, and S. M. Carroll, Primordial magnetic fields from pseudo-Goldstone bosons, Phys. Rev. D 46
1992
Earlier work this paper cites.
A.D. Dolgov, Breaking of conformal invariance and electromagnetic field generation in the Universe, Phys. Rev. D 48
1993
Earlier work this paper cites.
P.P. Kronberg, Extragalactic magnetic fields, Rep. Prog. Phys. 57
1994
Earlier work this paper cites.
B.-L. Cheng and A.V. Olinto, Primordial magnetic fields generated in the quark-hadron transition, Phys. Rev. D 50
1994
Earlier work this paper cites.
H. Lesch and M. Chiba, Protogalactic evolution and magnetic fields, Astron. Astrophys. 297
1995
Earlier work this paper cites.
R. Kulsrud, S.C. Cowley, A.V. Gruzinov, and R. N. Sudan, Dynamos and cosmic magnetic fields, Phys. Rep. 283
1997
Earlier work this paper cites.
G. Sigl, A.V. Olinto, and K. Jedamzik, Primordial magnetic fields from cosmological first order phase transitions, Phys. Rev. D 55
1997
Earlier work this paper cites.
J. Ahonen and K. Enqvist, Magnetic field generation in first order phase transition bubble collisions, Phys. Rev. D 57
1998
Earlier work this paper cites.
N.Y. Gnedin, A. Ferrara, and E.G. Zweibel, Generation of the primordial MF during cosmological reionization, Astrophys. J. 539
2000
Earlier work this paper cites.
D. Grasso and H.R. Rubinstein, Magnetic fields in the early Universe, Phys. Rep. 348
2001
Earlier work this paper cites.
S.A. Colgate and H. Li, The origin of the magnetic fields of the universe: The plasma astrophysics of the free energy of the Universe, Phys. Plasmas 8
2001
Earlier work this paper cites.
M. Giovannini, Variation of the gauge couplings during inflation, Phys. Rev. D 64
2001
Earlier work this paper cites.
T. Tenkanen, Tracing the high energy theory of gravity: An introduction to Palatini inflation, Gen. Relativ. Gravit. 52
Original
2001
Earlier work this paper cites.
L.M. Widrow, Origin of galactic and extragalactic magnetic fields, Rev. Mod. Phys. 74
2002
Earlier work this paper cites.
V. Domcke, V. Guidetti, Y. Welling, and A. Westphal, Resonant backreaction in axion inflation, J. Cosmol. Astropart. Phys. 09 (2020) 009 [ arXiv: 2002.02952 [astro-ph.CO] ]
Original
2002
Earlier work this paper cites.
M. Shaposhnikov, A. Shkerin, and S. Zell, Quantum effects in Palatini Higgs inflation, J. Cosmol. Astropart. Phys. 07 (2020) 064 [ arXiv: 2002.07105 [hep-ph] ]
Original
2002
Earlier work this paper cites.

Similar

M. Giovannini, The magnetized Universe, Int. J. Mod. Phys. D 13
2004
Cited alongside, same era.
K. Bamba and J. Yokoyama, Large-scale magnetic fields from inflation in dilaton electromagnetism, Phys. Rev. D 69
2004
Cited alongside, same era.
Y. Shtanov and M. Pavliuk, Model-independent constraints in inflationary magnetogenesis, J. Cosmol. Astropart. Phys. 08 (2020) 042 [ arXiv: 2004.00947 [astro-ph.CO] ]
Original
2004
Cited alongside, same era.
M.M. Anber and L. Sorbo, N-flationary magnetic fields, J. Cosmol. Astropart. Phys. 10 (2006) 018 [ arXiv: astro-ph/0606534 ]
2006
Cited alongside, same era.
A. Talebian, A. Nassiri-Rad and H. Firouzjahi, Revisiting magnetogenesis during inflation, Phys. Rev. D 102
Original
2007
Cited alongside, same era.