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Three-dimensional magnetohydrodynamic simulations of the surface layers ofthe Sun intrinsically produce a predominantly horizontal magnetic field in thephotosphere. This is a robust result in the sense that it arises fromsimulations with largely different initial and boundary conditions for themagnetic field. While the disk-center synthetic circular and linearpolarization signals agree with measurements from Hinode, their center-to-limbvariation sensitively depends on the height variation of the horizontal and thevertical field component and they seem to be at variance with the observedbehavior.

The Horizontal Magnetic Field of the Quiet Sun: Numerical Simulations in Comparison to Observations with Hinode