Relativistic effects arise when atoms interact with ultrastrong laser field
s. Such effects are expected to become important when the ratio of the pond
eromotive energy U-p of an electron in the field to the electron rest mass
energy mc(2) becomes comparable to unity. this rtio is given by q = e(2)E(0
)(2)/(4m(2)omega (2)c(2)), where E-0 is the peak strength of the electric f
ield, omega is the angular frequency of the laser light and e is the magnit
ude of the electron charge. We discuss recent progress in the theoretical s
tudy of several relativistic effects in laser-atom interactions: influence
of the magnetic component of the laser field, relativistic mass shift due t
o the dressing of the electron mass by the laser field, negative energy sta
tes and spin effects. Particular attention is paid to the modifications of
the laser-atom dynamics in the high-intensity, high-frequency regime.