Primordial Generation of Magnetic Fields

  • Jitesh R. BhattEmail author
  • Arun Kumar Pandey
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 174)


We reexamine generation of the primordial magnetic fields, at temperature \(T>80\) TeV, by applying a consistent kinetic theory framework which is suitably modified to take the quantum anomaly into account. The modified kinetic equation can reproduce the known quantum field theoretic results upto the leading orders. We show that our results qualitatively matches with the earlier results obtained using heuristic arguments. The modified kinetic theory can give the instabilities responsible for generation of the magnetic field due to chiral imbalance in two distinct regimes: (a) when the collisions play a dominant role and (b) when the primordial plasma can be regarded as collisionless. We argue that the instability developing in the collisional regime can dominate over the instability in the collisionless regime.


Kinetic Theory Maximum Growth Rate Magnetic Helicity Relaxation Time Approximation Berry Curvature 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


  1. 1.
    S.M. Carroll, G.B. Field, R. Jackiw, Phys. Rev. D 41, 1231 (1990)ADSCrossRefGoogle Scholar
  2. 2.
    T. Vachaspati, Phys. Lett. B 265, 258 (1991)ADSCrossRefGoogle Scholar
  3. 3.
    R.M. Kulsrud, R. Cen, J.P. Ostriker, D. Ryu, Astrophys. J. 480, 481 (1997). [astro-ph/9607141]ADSCrossRefGoogle Scholar
  4. 4.
    A. Kandus, K.E. Kunze, C.G. Tsagas, Phys. Rept. 505, 1 (2011). arXiv:1007.3891 [astro-ph.CO]
  5. 5.
    H. Tashiro, T. Vachaspati, A. Vilenkin, Phys. Rev. D 86, 105033 (2012). arXiv:1206.5549
  6. 6.
    J.M. Cornwall, Phys. Rev. D 56, 6146 (1997). [hep-th/9704022]ADSCrossRefGoogle Scholar
  7. 7.
    Y. Akamatsu, N. Yamamoto, Phys. Rev. Lett. 111, 052002 (2013). arXiv:1302.2125 [nucl-th]
  8. 8.
    T. Vachaspati, Phys. Rev. Lett. 87, 251302 (2001). [astro-ph/0101261]ADSCrossRefGoogle Scholar
  9. 9.
    D.T. Son, N. Yamamoto, Phys. Rev. Lett. 109, 181602 (2012). arXiv:1203.2697 [cond-mat.mes-hall]
  10. 10.
    D.T. Son, N. Yamamoto, Phys. Rev. D 87(8), 085016 (2013) arXiv:1210.8158 [hep-th]
  11. 11.
    K.A. Holcomb, T. Tajima, Phys. Rev. D 40, 3809 (1989)ADSCrossRefGoogle Scholar
  12. 12.
    M. Joyce, M.E. Shaposhnikov, Phys. Rev. Lett. 79, 1193 (1997). [astro-ph/9703005]ADSCrossRefGoogle Scholar
  13. 13.
    J.R. Bhatt, A.K. Pandey, arXiv:1503.01878 [astro-ph.CO]

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Theoretical Physics Division, Physical Research LaboratoryAhmedabadIndia
  2. 2.Department of PhysicsIndian Institute of TechnologyGandhinagar, AhmedabadIndia

Personalised recommendations