An interface between physics and number theory

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

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URL:	http://dx.doi.org/10.1088/1742-6596/284/1/012023
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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 Article
Copyright Holders:	2011 IOP Publishing
ISSN:	1742-6596
Academic Unit/Department:	Science > Physical Sciences
Item ID:	28711
Depositing User:	Astrid Peterkin
Date Deposited:	09 May 2011 09:11
Last Modified:	26 Nov 2012 18:47
URI:	http://oro.open.ac.uk/id/eprint/28711

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