The Efficiency of CP-Violating *α*2-Dynamos from Primordial Cosmic Axion Oscillation with Torsion

Affiliation(s)

Department of Theoretical Physics, State University of Rio de Janeiro (UERJ), Rio de Janeiro, Brazil.

Department of Theoretical Physics, State University of Rio de Janeiro (UERJ), Rio de Janeiro, Brazil.

ABSTRACT

Recently torsion fields were introduced in CP-violating cosmic axion*a*^{2}-dynamos
[Garcia de Andrade, Mod Phys Lett A, (2011)] in order to obtain Lorentz
violating bounds for torsion. Here instead, oscillating axion solutions of the
dynamo equation with torsion modes [Garcia de Andrade, Phys Lett B (2012)] are
obtained taking into account dissipative torsion fields. Magnetic helicity
torsion oscillatory contribution is also obtained. Note that the torsion presence
guarantees dynamo efficiency when axion dynamo length is much stronger than the
torsion length. Primordial axion oscillations due to torsion yield a magnetic
field of 10^{9} G at Nucleosynthesis epoch. This is obtained due to a
decay of BBN magnetic field of 10^{15} G induced by torsion. Since
torsion is taken as 10^{–20} s^{–1}, the dynamo efficiency is
granted over torsion damping. Of course dynamo efficiency is better in the
absence of torsion. In the particular case when the torsion is obtained from
anomalies it is given by the gradient of axion scalar [Duncan *et al.*, Nuclear Phys B 87, 215] that a
simpler dynamo equation is obtained and dynamo mechanism seems to be efficient
when the torsion helicity, is negative while magnetic field decays when the
torsion is positive. In this case an extremely huge value for the magnetic
field of 10^{15} Gauss is obtained. This is one order of magnitude
greater than the primordial magnetic fields of the domain wall. Actually if one
uses *t*_{DW} ~ 10^{-}^{4} s one obtains *B*_{DW} ~ 10^{22} G which is a
more stringent limit to the DW magnetic primordial field.

Recently torsion fields were introduced in CP-violating cosmic axion

Cite this paper

Andrade, L. (2015) The Efficiency of CP-Violating*α*2-Dynamos from Primordial Cosmic Axion Oscillation with Torsion. *International Journal of Astronomy and Astrophysics*, **5**, 56-59. doi: 10.4236/ijaa.2015.51008.

Andrade, L. (2015) The Efficiency of CP-Violating

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[1] Campanelli, L. and Gianotti, M. (2005) Magnetic Helicity Generation from the Cosmic Axion Field. Physical Review D, 72, Article ID: 123001.

http://dx.doi.org/10.1103/PhysRevD.72.123001

[2] Garcia de Andrade, L.C. (2011) Mod Phys Lett A., 26, 2863.

[3] Garcia de Andrade, L.C. (2012) Primordial Magnetic Fields and Dynamos from Parity Violated Torsion. Physics Letters B, 711, 143-146.

http://dx.doi.org/10.1016/j.physletb.2012.03.075

[4] Widrow, L. (2001) Rev Mod Phys, 74, 775; Turner, M. and Widrow, L. (1988) Phys Rev D; Prokopec, T., Tornkvist, O. and Woodward, R. (2002) Phys Rev Lett., 89, 101301; Ruzmakin, A., Sokoloff, D.D. and Shukurov, A. (1988) Magnetic Fields in Galaxies, Kluwer; Garcia de Andrade, L.C. (2011) Nuclear Phys B; Garcia de Andrade, L. (2011) Phys Lett B, 468, 28; Ratra, B., Caltech preprint and Garcia de Andrade, L. (2011) Lorentz Violation Bounds from Torsion Trace and Radio Galactic Dynamos. Phys Rev D (Brief Reports).

[5] Laemmerzahl, C. (1997) Phys Lett A., 228, 223.

[6] de Sabbata, V., Garcia de Andrade, L.C. and Sivaram, C. (1993) Torsion and Gauge-Invariant Massive Electrodynamics. International Journal of Theoretical Physics, 32, 1523-1530.

http://dx.doi.org/10.1007/BF00672853

[7] Duncan, M., Kaloper, N. and Olive, K.A. (1992) Nucl Phys B, 87, 215.

[8] Cea, P. and Tedesco, L. (year) Dynamical Generation of the Primordial Magnetic Field by Ferromagnetic Domain Walls. arXiv:hep-th/9811221v1.

[9] Kisslinger, L.S. (2003) Magnetic Wall from Chiral Phase Transition and CMPR Correlations. arXiv: hep-ph/0212206v2.