The phonon mass and the Hawking temperature in the two-dimensional acoustic black hole model
Jun Yan (Department of Physics, Sichuan Normal University, Chengdu, 610066, China)
In this paper, the acoustic metric and effective action are derived by using the shift transformation and functional integrals method, this metric can describe the fluctuation of the phonon fields in the quantum fluid. When the phonon fields are coupled with different types of 2-D gravity, i.e., Jackiw-Teitelboim model and Almheiri-Polchinski model, then the effective mass of the phonon fields and the Hawking temperature can be calculated in the analytical form. In addition, the influence of fluctuation intensity and deformation parameter to the phonon mass and the Hawking temperature are also analyzed and discussed.
