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Confinement and $α_s$ in a strong magnetic field

Hadron decay widths are shown to increase in strong magnetic fields as $Γ(eB) \sim \frac{eB}κ Γ(0)$. The same mechanism is shown to be present in the production of the sea quark pair inside the confining string, which decreases the string tension with the growing $eB$ parallel to the string . On the other hand, the average energy of the $q\bar q$ holes in the string world sheet increases, when the direction of $\mathbf{B}$ is perpendicular to the sheet. These two effects stipulate the spectacular picture of the $\mathbf{B}$ dependent confinement and $α_s$, discovered on the lattice.