Time-reversal violation as loop-antiloop symmetry breaking: the Bessel equation, group contraction and dissipation

Eleonora Alfinito; Giuseppe Vitiello

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arXiv · hep-th/0210129

Time-reversal violation as loop-antiloop symmetry breaking: the Bessel equation, group contraction and dissipation

Eleonora Alfinito·Giuseppe Vitiello

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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.

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Eleonora Alfinito, Giuseppe Vitiello. 2002-10-14. Time-reversal violation as loop-antiloop symmetry breaking: the Bessel equation, group contraction and dissipation. https://arxiv.org/abs/hep-th/0210129

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