Cosmological magnetic fields from photon coupling to fermions and bosons in inflation

Cosmological magnetic fields from photon coupling to fermions and bosons in inflation
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从光子耦合到暴涨中的费米子和玻色子的宇宙磁场

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发表时间:
2001
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通讯作者:
T. Prokopec
T. Prokopec
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作者:
T. Prokopec

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我们考虑几个规范不变的高维算子耦合重力,规范场和标量或费米子场,从而打破共形不变性。特别是,我们考虑的条款,打破共形不变性的光子耦合到重和轻费米子。虽然与重费米子的耦合通常不会引起显著的磁场,但当存在几百个轻费米子时,与轻费米子的耦合可能会产生可观察到的磁场。接下来,我们考虑普朗克标度修正的动力学规范项的形式f(φ)F�v F �v和h(φ)F�v F �v,其中f和h分别是标量场和赝标量场φ,φ,和F�v,F �v和规范场强度及其对偶的函数。对于f的适当选择,足够强的磁场可以在暴胀中产生,以便今天潜在地可观察到。赝标量耦合可能导致膨胀中的双折射,但没有可观察到的磁场放大。最后,我们表明,光子耦合度规扰动产生的太弱的领域是宇宙学的兴趣。
We consider several gauge invariant higher dimensional operators that couple gravity, gauge fields and scalar or fermionic fields and thus break conformal invariance. In particular, we consider terms that break conformal invariance by the photon coupling to heavy and light fermions. While the coupling to heavy fermions typically do not induce significant magnetic fields, the coupling to light fermions may produce observable magnetic fields when there are a few hundred light fermions. Next we consider Planck scale modifications of the kinetic gauge terms of the form f(φ)F�ν F �ν and h(ψ)F�ν ˜ F �ν , where f and h are functions of scalar and pseudoscalar fields φ, ψ, and F�ν , ˜ F �ν and the gauge field strength and its dual, respectively. For a suitable choice of f sufficiently strong magnetic fields may be produced in inflation to be potentially observable today. The pseudoscalar coupling may lead to birefringence in inflation, but no observable magnetic field amplification. Finally, we show that the photon coupling to metric perturbations produces by far too weak fields to be of cosmological interest.