Calculation of energy density fluctuations for Fermi matter on black hole background
黑洞背景下费米物质能量密度涨落的计算

In this paper, the propagator and the effective potential in quantum Thirring model are derived by using the functional integral method, and the energy density fluctuations for coupled Fermi matter are calculated in two-dimensional point matter black hole and dilaton black hole models separately. We find that energy density fluctuation outside dilaton black hole is stronger under the same physical conditions.