Noncommutative spectral geometry and the deformed Hopf algebra structure of quantum field theory

被引：0

作者：

Sakellaridaou, Mairi ^{[1
]}

Stabile, Antonio ^{[2
,3
]}

Vitiello, Giuseppe ^{[2
,3
]}

机构：

[1] Univ London, Kings Coll, Dept Phys, London WC2R 2LS, England

[2] Univ Salerno, Dipartimento Fis ER Caianiello, I-84100 Salerno, Italy

[3] Univ Salerno, Gruppo Collegato INFN, I-84100 Salerno, Italy

来源：

6TH INTERNATIONAL WORKSHOP DICE2012 SPACETIME - MATTER - QUANTUM MECHANICS: FROM THE PLANCK SCALE TO EMERGENT PHENOMENA | 2013年 / 442卷

关键词：

DISSIPATION; GRAVITY; UNIFICATION; MODEL;

D O I：

10.1088/1742-6596/442/1/012016

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

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.

引用

页数：11

共 35 条

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