Reprint of "Theoretical description of non-Debye relaxation, and boson peak in terms of gauge theory of glass transition"

•The glass transition is described in terms of the gauge theory of glass transition.•The non-Debye relaxation and the boson peak are caused by the cooperative motion.•This cooperative motion is described by the correlation function of the gauge field.

The slow kinetics of relaxation processes in supercooled liquids is described in terms of the gauge theory of glass transition. It is shown that the theory allows us to explain the non-Debye relaxation and to derive its exponent, as well as to predict the appearance of the boson peak in the low frequency part of the spectrum of the dynamic structural factor. According to the theory, both phenomena have common nature and are caused by the cooperative motion of liquid's atoms, which is described by the correlation function of the gauge field.