Gravitational collapse with quantum fields

Gravitational collapse into a black hole has been extensively studied with classical sources. We develop new formalism to simulate quantum fields forming hole. This utilizes well-established techniques used for by choosing convenient coherent state, and simulates the matter mechanically. Divergences are regularized cosmological constant Pauli-Villars fields. Using massless spherically symmetric scalar field as an example, we demonstrate effectiveness of reproducing some results in gravitational collapse, identifying difference due effects.