Fermions in 2D Lorentzian Quantum Gravity

Bogacz, L.; Burda, Z.; Jurkiewicz, J.

Fermions in 2D Lorentzian Quantum Gravity

Authors

Bogacz, L.

Burda, Z.

Jurkiewicz, J.

Description

We implement Wilson fermions on 2D Lorentzian triangulation and determine the spectrum of the Dirac-Wilson operator. We compare it to the spectrum of the corresponding operator in the Euclidean background. We use fermionic particle to probe the fractal properties of Lorentzian gravity coupled to $c=1/2$ and $c=4$ matter. We numerically determine the scaling exponent of the mass gap $M \sim N^{-1/d_H}$ to be $d_H=2.11(5)$, and $d_H=1.77(3)$ for $c=1/2$ and $c=4$, respectively
13 pages, 4 figures