Millicharged fermion vacuum polarization in a cosmic magnetic field and generation of CMB elliptic polarization

Millicharged fermion vacuum polarization in a cosmic magnetic field and generation of CMB... The contribution of one-loop millicharged fermion vacuum polarization in a cosmic magnetic field to the cosmic microwave background (CMB) polarization is considered. Exact and perturbative solutions of the density matrix equations of motion in terms of the Stokes parameters are presented. For linearly polarized CMB at the decoupling time, it is shown that the propagation of CMB photons in a cosmic magnetic field would generate elliptic polarization (circular and linear) of the CMB due to millicharged fermion vacuum polarization. Analytic expressions for the degree of circular polarization and rotation angle of the polarization plane of the CMB are presented. Depending on the ratio of millicharged fermion relative charge to mass, ε/mε, magnetic field amplitude, and CMB observation frequency, it is shown that the acquired CMB degree of circular polarization could be of the order of magnitude PC(T0)∼10-10–10-6 in the best scenario for a canonical value of magnetic field amplitude of the order of ∼nG and ε/mε∼10-4–few×10-3. The mechanism considered in this work generates CMB polarization even in the case when the CMB is initially in thermal equilibrium. Limits on the magnetic field amplitude due to prior-decoupling CMB polarization are presented. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Physical Review D American Physical Society (APS)

Millicharged fermion vacuum polarization in a cosmic magnetic field and generation of CMB elliptic polarization

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Millicharged fermion vacuum polarization in a cosmic magnetic field and generation of CMB elliptic polarization

Abstract

The contribution of one-loop millicharged fermion vacuum polarization in a cosmic magnetic field to the cosmic microwave background (CMB) polarization is considered. Exact and perturbative solutions of the density matrix equations of motion in terms of the Stokes parameters are presented. For linearly polarized CMB at the decoupling time, it is shown that the propagation of CMB photons in a cosmic magnetic field would generate elliptic polarization (circular and linear) of the CMB due to millicharged fermion vacuum polarization. Analytic expressions for the degree of circular polarization and rotation angle of the polarization plane of the CMB are presented. Depending on the ratio of millicharged fermion relative charge to mass, ε/mε, magnetic field amplitude, and CMB observation frequency, it is shown that the acquired CMB degree of circular polarization could be of the order of magnitude PC(T0)∼10-10–10-6 in the best scenario for a canonical value of magnetic field amplitude of the order of ∼nG and ε/mε∼10-4–few×10-3. The mechanism considered in this work generates CMB polarization even in the case when the CMB is initially in thermal equilibrium. Limits on the magnetic field amplitude due to prior-decoupling CMB polarization are presented.
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Publisher
The American Physical Society
Copyright
Copyright © © 2017 American Physical Society
ISSN
1550-7998
eISSN
1550-2368
D.O.I.
10.1103/PhysRevD.96.023540
Publisher site
See Article on Publisher Site

Abstract

The contribution of one-loop millicharged fermion vacuum polarization in a cosmic magnetic field to the cosmic microwave background (CMB) polarization is considered. Exact and perturbative solutions of the density matrix equations of motion in terms of the Stokes parameters are presented. For linearly polarized CMB at the decoupling time, it is shown that the propagation of CMB photons in a cosmic magnetic field would generate elliptic polarization (circular and linear) of the CMB due to millicharged fermion vacuum polarization. Analytic expressions for the degree of circular polarization and rotation angle of the polarization plane of the CMB are presented. Depending on the ratio of millicharged fermion relative charge to mass, ε/mε, magnetic field amplitude, and CMB observation frequency, it is shown that the acquired CMB degree of circular polarization could be of the order of magnitude PC(T0)∼10-10–10-6 in the best scenario for a canonical value of magnetic field amplitude of the order of ∼nG and ε/mε∼10-4–few×10-3. The mechanism considered in this work generates CMB polarization even in the case when the CMB is initially in thermal equilibrium. Limits on the magnetic field amplitude due to prior-decoupling CMB polarization are presented.

Journal

Physical Review DAmerican Physical Society (APS)

Published: Jul 15, 2017

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