| Автор | D R Phillips |
| Автор | S R Beane |
| Автор | M C Birse |
| Дата выпуска | 1999-05-07 |
| dc.description | We consider the most general loop integral that appears in non-relativistic effective field theories with no light particles. The divergences of this integral are in correspondence with simple poles in the space of complex space-time dimensions. Integrals related to the original integral by subtraction of one or more poles in dimensions other than D = 4 lead to non-minimal subtraction schemes. Subtraction of all poles in correspondence with ultraviolet divergences of the loop integral leads naturally to a regularization scheme which is precisely equivalent to cut-off regularization. We therefore recover cut-off regularization from dimensional regularization with a non-minimal subtraction scheme. We then discuss the power counting for non-relativistic effective field theories which arises in these alternative schemes. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Scheming in dimensional regularization |
| Тип | paper |
| DOI | 10.1088/0305-4470/32/18/313 |
| Print ISSN | 0305-4470 |
| Журнал | Journal of Physics A: Mathematical and General |
| Том | 32 |
| Первая страница | 3397 |
| Последняя страница | 3407 |
| Выпуск | 18 |
