Автор |
Massimo Bianchi |
Автор |
Stefano Kovacs |
Автор |
Giancarlo Rossi |
Автор |
Yassen S. Stanev |
Дата выпуска |
1999-08-01 |
dc.description |
We show that the logarithmic behaviour seen in perturbative and non perturbative contributions to Green functions of gauge-invariant composite operators in N = 4 SYM with SU(N) gauge group can be consistently interpreted in terms of anomalous dimensions of unprotected operators in long multiplets of the superconformal group SU(2,2|4). In order to illustrate the point we analyse the short-distance behaviour of a particularly simple four-point Green function of the lowest scalar components of the N = 4 supercurrent multiplet. Assuming the validity of the Operator Product Expansion, we are able to reproduce the known value of the one-loop anomalous dimension of the single-trace operators in the Konishi supermultiplet. We also show that it does not receive any non-perturbative contribution from the one-instanton sector. We briefly comment on double- and multi-trace operators and on the bearing of our results on the AdS/SCFT correspondence. |
Формат |
application.pdf |
Издатель |
Institute of Physics Publishing |
Название |
On the logarithmic behaviour in N = 4 SYM theory |
Тип |
paper |
DOI |
10.1088/1126-6708/1999/08/020 |
Electronic ISSN |
1029- 8479 |
Print ISSN |
1126-6708 |
Журнал |
Journal of High Energy Physics |
Том |
1999 |
Первая страница |
20 |
Последняя страница |
020 |
Выпуск |
08 |