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The effect of an external magnetic field on the finite temperature transitionof QCD is studied. We measure thermodynamic observables including the quarkcondensates and susceptibilities and the strange quark number susceptibility.We generate configurations at various values of the quantized magnetic fluxwith N_f=2+1 flavors of stout smeared staggered quarks at physical quarkmasses. We perform the renormalization of our observables and approach thecontinuum limit with N_t=6,8 and 10 lattices. We also check finite volumeeffects using various lattice volumes. Our main result is that the transitiontemperature significantly decreases with growing magnetic field, and that thetransition remains an analytic crossover up to our largest external field eB ~1 GeV^2.

The finite temperature QCD transition in external magnetic fields