Doubling of states, quantum anomalies, and possible cosmological consequences in the continuum limit of the theory of discrete quantum gravity
Abstract
The problem of the doubling of states is investigated in the framework of the theory of discrete quantum gravity under the assumption that the theory has a continuum (macroscopic) limit. It is demonstrated that irregular (in some sense) modes of fields (i.e., modes that change abruptly on scales of a lattice step and have a finite energy when the lattice step tends to zero) are separated from the normal modes. Some cosmological consequences of this finding are discussed.
 Publication:

Soviet Journal of Experimental and Theoretical Physics
 Pub Date:
 January 2008
 DOI:
 10.1134/S1063776108010044
 Bibcode:
 2008JETP..106...46V
 Keywords:

 04.60.m;
 04.60.Nc;
 98.80.Jk;
 04.60.m;
 04.60.Nc;
 98.80.Jk;
 Quantum gravity;
 Lattice and discrete methods;
 Mathematical and relativistic aspects of cosmology