期刊
JOURNAL OF COSMOLOGY AND ASTROPARTICLE PHYSICS
卷 -, 期 2, 页码 -出版社
IOP Publishing Ltd
DOI: 10.1088/1475-7516/2016/02/055
关键词
primordial magnetic fields; cosmic magnetic fields theory; quantum field theory on curved space
资金
- U.S. National Sciemce Foundation [PHY-1205896]
- Direct For Mathematical & Physical Scien
- Division Of Physics [1520292] Funding Source: National Science Foundation
- Division Of Physics
- Direct For Mathematical & Physical Scien [1205986] Funding Source: National Science Foundation
We discuss the possibility of successful magnetogenesis during inflation by employing the one-loop effective action of massless QED. The action is strictly non-local and results from the long distance fluctuations of massless charged particles present at the inflationary scale. Most importantly, it encodes the conformal anomaly of QED which is crucial to avoid the vacuum preservation in classical electromagnetism. In particular, we find a blue spectrum for the magnetic field with spectral index n(B) similar or equal to 2 - alpha(e) where alpha(e) depends on both the number of e-folds during inflation as well as the coefficient of the one-loop beta function. In particular, the sign of the beta function has important bearing on the final result. A low reheating temperature is required for the present day magnetic field to be consistent with the lower bound inferred on the field in the intergalactic medium.
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