’n Nie-kommutatiewe sigmamodel
Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie/South African Journal of Science and Technology
| Field | Value | |
| Title | ’n Nie-kommutatiewe sigmamodel A noncommutative sigma model | |
| Creator | van den Worm, Mauritz | |
| Description | Stringteorie is ’n opwindende teorie wat ’n baie goeie kans het om sommige van die fundamentele eienskappe van die natuur te beskryf. Hierdie teorie is tot op hede nog nie eksperimenteel bewys nie, maar is die duidelike voorloper in die soektog na ’n allesomvattende teorie vir die heelal. We replace the classical string theory notions of mapping between parameter space and world-time with noncommutative tori mapping between these spaces. The dynamics of mappings between different noncommutative tori are studied and noncommutative versions of the Polyakov action and the Euler-Lagrange equations are derived. The quantum torus is studied in detail, as well as C*-homomorphisms between different quantum tori. A finite dimensional representation of the quantum torus is studied, and the partition function and other path integrals are calculated. At the end we prove existence theorems for mappings between different noncommutative tori. | |
| Publisher | AOSIS | |
| Date | 2013-07-08 | |
| Identifier | 10.4102/satnt.v32i1.423 | |
| Source | Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie; Vol 32, No 1 (2013); 1 bladsy Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie; Vol 32, No 1 (2013); 1 bladsy 2222-4173 0254-3486 | |
| Language | eng | |
| Relation |
The following web links (URLs) may trigger a file download or direct you to an alternative webpage to gain access to a publication file format of the published article:
https://journals.satnt.aosis.co.za/index.php/satnt/article/view/423/763
https://journals.satnt.aosis.co.za/index.php/satnt/article/view/423/762
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