  The local Gorini-Kossakowski-Sudarshan-Lindblad (GKSL) quantum master
equation is a powerful tool for the study of open quantum many-body systems.
However, its microscopic derivation applicable to many-body systems is
available only in limited cases of weak internal couplings, and it has yet to
be fully understood under what microscopic conditions the local GKSL equation
is valid. We derive the local GKSL equation on the basis of the Lieb-Robinson
bound, which provides an upper bound of the propagation of information in
quantum many-body systems. We numerically test the validity of the derived
local GKSL equation for a one-dimensional tight-binding fermion chain.
