Time-reversal violation as loop-antiloop symmetry breaking: the Bessel equation, group contraction and dissipation
High Energy Physics - Theory
2007-05-23 v1
Abstract
We show that the Bessel equation can be cast, by means of suitable transformations, into a system of two damped/amplified parametric oscillator equations. The relation with the group contraction mechanism is analyzed and the breakdown of loop-antiloop symmetry due to group contraction manifests itself as violation of time-reversal symmetry. A preliminary discussion of the relation between some infinite dimensional loop-algebras, such as the Virasoro-like algebra, and the Euclidean algebras e(2) and e(3) is also presented.
Keywords
Cite
@article{arxiv.hep-th/0210129,
title = {Time-reversal violation as loop-antiloop symmetry breaking: the Bessel equation, group contraction and dissipation},
author = {Eleonora Alfinito and Giuseppe Vitiello},
journal= {arXiv preprint arXiv:hep-th/0210129},
year = {2007}
}
Comments
15 pages, Latex