Small-Scale Structure of Space-Time and Dirac Operator

作者: Marcos Rosenbaum

DOI: 10.1023/A:1003783327275

关键词:

摘要: Connes' noncommutative geometry is presented and the relevance of Dirac operator in elucidation structure space-time at Planck length discussed.

参考文章(30)
Daniel Kastler, Lionel Carminati, Thomas Schucker, Bruno Iochum, On Connes' new principle of general relativity. Can spinors hear the forces of spacetime? arXiv: High Energy Physics - Theory. ,(1996)
Daniel Kastler, Thomas Schucker, Bruno Iochum, Fuzzy Mass Relations in the Standard Model arXiv: High Energy Physics - Theory. ,(1995)
A. Connes, D. Kreimer, Lessons from Quantum Field Theory - Hopf Algebras and Spacetime Geometries arXiv: High Energy Physics - Theory. ,(1999)
Dirk Kreimer, On the Hopf algebra structure of perturbative quantum field theories Advances in Theoretical and Mathematical Physics. ,vol. 2, pp. 303- 334 ,(1998) , 10.4310/ATMP.1998.V2.N2.A4
Daniel Kastler, Noncommutative Geometry and Basic Physics Geometry and Quantum Physics. ,vol. 543, pp. 131- 230 ,(2000) , 10.1007/3-540-46552-9_4
Henri Moscovici, Alain Connes, Hopf Algebras, Cyclic Cohomology and the Transverse Index Theorem Communications in Mathematical Physics. ,vol. 198, pp. 199- 246 ,(1998) , 10.1007/S002200050477
M. Wodzicki, Local invariants of spectral asymmetry Inventiones Mathematicae. ,vol. 75, pp. 143- 177 ,(1984) , 10.1007/BF01403095