Abstract
Spin systems coupled to two-dimensional manifolds are studied as a simple example for matter fields coupled to gravity. We consider two versions of quantum Regge calculus. The Standard Regge Calculus [1] where the quadratic link lengths q of the simplicial manifold vary continuously and the Discrete Regge Model [2] where they are restricted to two possible values. These manifolds are coupled with Z2 spins [3].
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Bittner, E., Janke, W., Markum, H., Riedler, J. (2000). Quantum Gravity with Matter Fields in Two Dimensions. In: Gausterer, H., Pittner, L., Grosse, H. (eds) Geometry and Quantum Physics. Lecture Notes in Physics, vol 543. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-46552-9_8
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DOI: https://doi.org/10.1007/3-540-46552-9_8
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