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Here we summarize our recent results of high-resolution computer simulationson the turbulent amplification of weak magnetic seed fields showing that suchfields will be exponentially amplified also during the gravitational collapsereminiscent to the situation during primordial star formation. The exponentialmagnetic field amplification is driven by the turbulent small-scale dynamo thatcan be only observed in computer simulations if the turbulent motions in thecentral core are sufficiently resolved. We find that the Jeans length, whichdetermines the central core region, has to be resolved by at least 30 gridcells to capture the dynamo activity. We conclude from our studies that strongmagnetic fields will be unavoidably created already during the formation of thefirst stars in the Universe, potentially influencing their evolution and massdistribution.

Generation of strong magnetic fields via the small-scale dynamo during the formation of the first stars