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- Title
Discrete Gravity, the Problem of Fermion State Doubling, and Quantum Anomalies.
- Authors
Vergeles, S. N.
- Abstract
The problem of doubling of fermion states is studied in the framework of the theory of discrete gravitation. Examples of amorphous lattices (simplicial two-, three-, and four-dimensional complexes) free of doubling of fermion states are given. Possible consequences of this fact, such as the absence of quantum anomalies in divergence of axial currents, are considered. On the basis of the absence of axial anomalies and the finiteness of the number of physical degrees of freedom in the model of discrete quantum gravity proposed in [1] and of the continuum theory of gravitation constructed with the help of the dynamic quantization method [2], the following conclusion has been drawn: discrete quantum gravity [1] in the continuum limit is transformed into the theory of gravitation constructed in accordance with the algorithm of the dynamic quantization method [2]. © 2003 MAIK “Nauka / Interperiodica”.
- Subjects
FERMIONS; GRAVITATION; FIELD theory (Physics)
- Publication
Journal of Experimental & Theoretical Physics, 2003, Vol 97, Issue 6, p1075
- ISSN
1063-7761
- Publication type
Article
- DOI
10.1134/1.1641891