Noncommutative spectral geometry and the deformed Hopf algebra structure of quantum field theory
High Energy Physics - Theory
2014-03-25 v1 General Relativity and Quantum Cosmology
High Energy Physics - Phenomenology
Mathematical Physics
math.MP
Quantum Physics
Abstract
We report the results obtained in the study of Alain Connes noncommutative spectral geometry construction focusing on its essential ingredient of the algebra doubling. We show that such a two-sheeted structure is related with the gauge structure of the theory, its dissipative character and carries in itself the seeds of quantization. From the algebraic point of view, the algebra doubling process has the same structure of the deformed Hops algebra structure which characterizes quantum field theory.
Keywords
Cite
@article{arxiv.1301.2563,
title = {Noncommutative spectral geometry and the deformed Hopf algebra structure of quantum field theory},
author = {Mairi Sakellariadou and Antonio Stabile and Giuseppe Vitiello},
journal= {arXiv preprint arXiv:1301.2563},
year = {2014}
}
Comments
11 pages. Invited talk in the Sixth International Workshop DICE2012, Castello Pasquini/Castiglioncello (Tuscany), September 17-21, 2012