Detailed discussions and calculations of quantum Regge calculus of Einstein-Cartan theory
This article presents detailed discussions and calculations of the recent paper 'Quantum Regge calculus of Einstein-Cartan theory' in . The Euclidean space-time is discretized by a four-dimensional simplicial complex. We adopt basic tetrad and spin-connection fields to describe the simplicial complex. By introducing diffeomorphism and local Lorentz invariant holonomy fields, we construct a regularized Einstein-Cartan theory for studying the quantum dynamics of the simplicial complex and fermion fields. This regularized Einstein-Cartan action is shown to properly approach to its continuum counterpart in the continuum limit. Based on the local Lorentz invariance, we derive the dynamical equations satisfied by invariant holonomy fields. In the mean-field approximation, we show that the averaged size of 4-simplex, the element of the simplicial complex, is larger than the Planck length. This formulation provides a theoretical framework for analytical calculations and numerical simulations to study the quantum Einstein-Cartan theory.

title: GRB 050315: A step toward the uniqueness of the overall GRB structure and the true nature of long GRBs
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title: On evolution of the pair-electromagnetic pulse of a charged black hole
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title: The Casimir Effect in Perfectly Conducting Rectangular Cavity

title: The Dynamical Casimir Effect and Energetic Sources for Gamma Ray Bursts
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title: PHASE-STRUCTURE OF THE SU(2)-SO(3) LATTICE SYSTEM IN AN IMPROVED VARIATIONAL APPROACH
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title: Tau and Charm Physics at BES/BEPC

title: A study of two-photon production of two-body final states with invariant mass greater than 2.0 GeV
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title: The BES detector
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title: EXPERIMENTAL STUDY OF J/PSI RADIATIVE DECAY TO PI 0PI 0

title: Aleph: a detector for electron-positron annihilations at Lep
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