Links. Relating different physical systems through the common QFT algebraic structure
高能物理 - 理论
2008-11-26 v1
摘要
In this report I review some aspects of the algebraic structure of QFT related with the doubling of the degrees of freedom of the system under study. I show how such a doubling is related to the characterizing feature of QFT consisting in the existence of infinitely many unitarily inequivalent representations of the canonical (anti-)commutation relations and how this is described by the q-deformed Hopf algebra. I consider several examples, such as the damped harmonic oscillator, the quantum Brownian motion, thermal field theories, squeezed states, classical-to-quantum relation, and show the analogies, or links, among them arising from the common algebraic structure of the q-deformed Hopf algebra.
引用
@article{arxiv.hep-th/0610094,
title = {Links. Relating different physical systems through the common QFT algebraic structure},
author = {Giuseppe Vitiello},
journal= {arXiv preprint arXiv:hep-th/0610094},
year = {2008}
}