Автор |
M. Chaichian |
Автор |
M. Mnatsakanova |
Автор |
A. Tureanu |
Автор |
Yu. Vernov |
Дата выпуска |
2008-09-01 |
dc.description |
It is proven that the ☆-product of field operators implies that the space of test functions in the Wightman approach to noncommutative quantum field theory is one of the Gel'fand-Shilov spaces S<sup>β</sup> with β < 1/2. This class of test functions smears the noncommutative Wightman functions, which are in this case generalized distributions, sometimes called hyperfunctions. The existence and determination of the class of the test function spaces in NC QFT is important for any rigorous treatment in the Wightman approach. |
Формат |
application.pdf |
Издатель |
Institute of Physics Publishing |
Название |
Test functions space in noncommutative quantum field theory |
Тип |
paper |
DOI |
10.1088/1126-6708/2008/09/125 |
Electronic ISSN |
1029- 8479 |
Print ISSN |
1126-6708 |
Журнал |
Journal of High Energy Physics |
Том |
2008 |
Первая страница |
125 |
Последняя страница |
125 |
Выпуск |
09 |