On Effective Dimensional Reduction in Hyperbolic Spaces
High Energy Physics - Theory
2008-09-17 v1 General Relativity and Quantum Cosmology
Abstract
It is shown that the classical motion of massive particles in hyperbolic spaces has a bounded character in coordinates. Studying the Dirac equation, it is found that a bounded character of the classical motion corresponds to the effective dimensional reduction for fermions in the infrared region in the quantum problem. This effective dimensional reduction leads to the zero critical value of coupling constant for dynamical symmetry breaking in hyperbolic spaces.
Cite
@article{arxiv.0809.2558,
title = {On Effective Dimensional Reduction in Hyperbolic Spaces},
author = {E. V. Gorbar},
journal= {arXiv preprint arXiv:0809.2558},
year = {2008}
}
Comments
6 pages, submitted to Ukr. Phys. Journal