2012
DOI: 10.1088/1475-7516/2012/06/008
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Lepton asymmetries and primordial hypermagnetic helicity evolution

Abstract: Abstract. The hypermagnetic helicity density at the electroweak phase transition (EWPT) exceeds many orders of magnitude the galactic magnetic helicity density. Together with previous magnetic helicity evolution calculations after the EWPT and hypermagnetic helicity conversion to the magnetic one at the EWPT, the present calculation completes the description of the evolution of this important topological feature of cosmological magnetic fields. It suggests that if the magnetic field seeding the galactic dynamo… Show more

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Cited by 32 publications
(39 citation statements)
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“…14 The initial temperature in our calculation 13 It should be noted if magnetic fields are partially helical at their generation, the helical part decays slower than the non-helical part due to the inverse cascade process and they eventually reach the maximal helical state [40,54]. Therefore our assumption that the present magnetic fields are maximally helical is valid for a broad class of initial conditions.…”
Section: Numerical Resultsmentioning
confidence: 89%
“…14 The initial temperature in our calculation 13 It should be noted if magnetic fields are partially helical at their generation, the helical part decays slower than the non-helical part due to the inverse cascade process and they eventually reach the maximal helical state [40,54]. Therefore our assumption that the present magnetic fields are maximally helical is valid for a broad class of initial conditions.…”
Section: Numerical Resultsmentioning
confidence: 89%
“…(620), we find it much more convenient to utilize the Schwinger form of the fermion propagator (556), which consists of a simple phase, that breaks the translation invariance, and a translation invariant function. Taking into account that the Schwinger phase Φ(r ⊥ , r ′ ⊥ ) is linear in magnetic field, we arrive at the following alternative form of the weak field expansion of the fermion propagator in the linear in B approximation: 588) and (589).]…”
Section: Radiative Corrections To Axial Current Densitymentioning
confidence: 99%
“…This violation is expressed by the current conservation equations, Many studies have investigated the connection between a primordial magnetic field (PMF) and the baryon asymmetry of the universe (BAU). Broadly speaking, the literature falls into three categories: PMF-from-BAU [15][16][17], BAU-from-PMF [18][19][20][21][22][23][24][25], and co-evolution [26][27][28][29][30][31][32][33]. As emphasized in Ref.…”
Section: Introductionmentioning
confidence: 99%