▎ 摘　　要

We study the coupling between elastic membrane distortions and Dirac electrons in a dynamical sheet of graphene. This coupling can be understood in terms of an effective gauge field acting on electrons, which has two contributions: (quasi) static and purely dynamic, of the Berry-phase origin, both in general engendering fictitious electric and magnetic fields. The static gauge potential (along with the electromagnetic field that it parametrizes) is known to be of opposite sign at the K and K' valleys, while we find the same dynamic gauge potential at the two valleys, similarly to the true electromagnetic field. The mechanical fluctuations can thus mediate an indirect coupling between charge and valley degrees of freedom.