Duchamp, Gérard H. E.; Minh, Hoang Ngoc; Solomon, Allan I. and Goodenough, Silvia
(2011).
*Journal of Physics: Conference Series*, 284(1) 012023.

URL: | http://dx.doi.org/10.1088/1742-6596/284/1/012023 |
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Google Scholar: | Look up in Google Scholar |

## Abstract

We extend the Hopf algebra description of a simple quantum system given previously, to a more elaborate Hopf algebra, which is rich enough to encompass that related to a description of perturbative quantum field theory (pQFT). This provides a *mathematical* route from an algebraic description of non-relativistic, non-field theoretic quantum statistical mechanics to one of relativistic quantum field theory.

Such a description necessarily involves treating the algebra of polyzeta functions, extensions of the Riemann Zeta function, since these occur naturally in pQFT. This provides a link between physics, algebra and number theory. As a by-product of this approach, we are led to indicate *inter alia* a basis for concluding that the Euler gamma constant γ may be rational.

Item Type: | Journal Item |
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Copyright Holders: | 2011 IOP Publishing |

ISSN: | 1742-6596 |

Academic Unit/School: | Faculty of Science, Technology, Engineering and Mathematics (STEM) > Physical Sciences Faculty of Science, Technology, Engineering and Mathematics (STEM) |

Item ID: | 28711 |

Depositing User: | Astrid Peterkin |

Date Deposited: | 09 May 2011 09:11 |

Last Modified: | 19 Oct 2016 18:48 |

URI: | http://oro.open.ac.uk/id/eprint/28711 |

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