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 similar to 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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Univ Copenhagen, Niels Bohr Inst, DK-2100 Copenhagen O, Denmark
Radboud Univ Nijmegen, Inst Math Astrophys & Particle Phys, NL-6525 AJ Nijmegen, NetherlandsUniv Copenhagen, Niels Bohr Inst, DK-2100 Copenhagen O, Denmark
Ambjorn, Jan
Glaser, Lisa
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Univ Copenhagen, Niels Bohr Inst, DK-2100 Copenhagen O, DenmarkUniv Copenhagen, Niels Bohr Inst, DK-2100 Copenhagen O, Denmark
Glaser, Lisa
Sato, Yuki
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Nagoya Univ, Dept Phys, Nagoya, Aichi 4648602, JapanUniv Copenhagen, Niels Bohr Inst, DK-2100 Copenhagen O, Denmark
Sato, Yuki
Watabiki, Yoshiyuki
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Tokyo Inst Technol, Dept Phys, High Energy Theory Grp, Meguro Ku, Tokyo 1528551, JapanUniv Copenhagen, Niels Bohr Inst, DK-2100 Copenhagen O, Denmark
机构:
Max Planck Inst Gravitat Phys, Albert Einstein Inst, D-14476 Golm, GermanyMax Planck Inst Gravitat Phys, Albert Einstein Inst, D-14476 Golm, Germany