Fermions in 2D Lorentzian Quantum Gravity

Details Fermions in 2D Lorentzian Quantum Gravity Fermions in 2D Lorentzian Quantum Gravity

2003-06-25

arxiv.org/abs/hep-lat/0306033v1

ActaPhys.Polon.B34:3987-4000,2003

Physics

High Energy Physics

High Energy Physics - Lattice

13 pages, 4 figures

Scientific paper

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

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