ar X iv : h ep - l at / 0 30 60 33 v 1 2 5 Ju n 20 03 Fermions in 2 D Lorentzian Quantum Gravity
نویسندگان
چکیده
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 ∼ N −1/dH 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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