An $\varepsilon$-regularity theorem for line bundle mean curvature flow

In this paper, we study the line bundle mean curvature flow defined by Jacob and Yau. The is a kind of parabolic flows to obtain deformed Hermitian Yang-Mills metrics on given K\"ahler manifold. goal paper give an $\varepsilon$-regularity theorem for flow. To establish theorem, provide scale invariant monotone quantity. As critical point quantity, define self-shrinker solution Liouville type self-shrinkers also given. It plays important role in proof theorem.