$2$-dimensional Perturbative GUP equations

In this work we consider the perturbative equation of the GUP equations for the two-dimensional perturbative Perturbative Unruh-DeWitt particle with two spinor fields in a one-parameter space. We assume that the spinors are two-dimensional and construct the perturbative equation for the GUP equations at smaller than the second order in the second-order parameters. The perturbative equation for the GUP equations is solved numerically and we obtain the equation of state. The solutions of this equation are given by the Lie group of the Perturbative GUP equations.