Duchamp, Gérard H. E.; Minh, Hoang Ngoc; Solomon, Allan I. and Goodenough, Silvia
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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|
|Academic Unit/Department:||Science > Physical Sciences|
|Depositing User:||Astrid Peterkin|
|Date Deposited:||09 May 2011 09:11|
|Last Modified:||26 Nov 2012 18:47|
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