Matter fields in lattice gravity |
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| Affiliation: | 1. Institute for Theoretical Sciences, Westlake Institute for Advanced Study, Hangzhou, China;2. Department of Physics, School of Science, Westlake University, Hangzhou 310024, China;3. Kavli Institute for Theoretical Sciences, University of Chinese Academy of Sciences, Beijing 100190, China;4. Department of Physics, the University of Hong Kong, Hong Kong SAR, China;1. Laboratoire de Physique et Chimie Théoriques (CNRS UMR 7019), Université de Lorraine Nancy, B.P. 70239, F – 54506 Vandœuvre lès Nancy Cedex, France;2. Centro de Física Teórica e Computacional, Universidade de Lisboa, Campo Grande, P–1749-016 Lisboa, Portugal;3. Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, 72 Tsarigradsko chaussee, Blvd., BG – 1784 Sofia, Bulgaria |
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| Abstract: | The formulations of the scalar, spinor and gauge fields on a curved random lattice are discussed. A new fermion scheme — simplicial fermions — which is more natural in the presence of gravity, is introduced. Some of the propagators in D = 2 are evaluated numerically and are compared with the continuum limit. |
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