Nonassociative Weyl star products
Deformation quantization is a formal deformation of the algebra of smooth functions on some manifold. In the classical setting, the Poisson bracket serves as an initial conditions, while the associativity allows to proceed to higher orders. Some applications to string theory require deformation in t...
| Published in: | Journal of high energy physics № 9. P. 103 (1-18) |
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| Format: | Article |
| Language: | English |
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| Online Access: | http://vital.lib.tsu.ru/vital/access/manager/Repository/vtls:000534098 Перейти в каталог НБ ТГУ |
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| 008 | 181202|2015 enk s a eng d | ||
| 024 | 7 | |a 10.1007/JHEP09(2015)103 |2 doi | |
| 035 | |a to000534098 | ||
| 039 | 9 | |a 201812021548 |c 201606150816 |d cat202 |c 201605260831 |d cat202 |c 201605251702 |d VLOAD |y 201605251407 |z Александр Эльверович Гилязов | |
| 040 | |a RU-ToGU |b rus |c RU-ToGU | ||
| 100 | 1 | |a Kupriyanov, Vladislav G. |9 441818 | |
| 245 | 1 | 0 | |a Nonassociative Weyl star products |c V. G. Kupriyanov, D. V. Vassilevich |
| 504 | |a Библиогр.: 41 назв. | ||
| 520 | 3 | |a Deformation quantization is a formal deformation of the algebra of smooth functions on some manifold. In the classical setting, the Poisson bracket serves as an initial conditions, while the associativity allows to proceed to higher orders. Some applications to string theory require deformation in the direction of a quasi-Poisson bracket (that does not satisfy the Jacobi identity). This initial condition is incompatible with associativity, it is quite unclear which restrictions can be imposed on the deformation. We show that for any quasi-Poisson bracket the deformation quantization exists and is essentially unique if one requires (weak) hermiticity and the Weyl condition. We also propose an iterative procedure that allows to compute the star product up to any desired order. | |
| 653 | |a Пуассона скобки | ||
| 653 | |a алгебра | ||
| 653 | |a гладкие функции | ||
| 655 | 4 | |a статьи в журналах |9 879358 | |
| 700 | 1 | |a Vassilevich, Dmitri V. |9 165797 | |
| 710 | 2 | |a Томский государственный университет |b Физический факультет |b Научные подразделения ФФ |9 107954 | |
| 773 | 0 | |t Journal of high energy physics |d 2015 |g № 9. P. 103 (1-18) |x 1029-8479 | |
| 852 | 4 | |a RU-ToGU | |
| 856 | 7 | |u http://vital.lib.tsu.ru/vital/access/manager/Repository/vtls:000534098 | |
| 856 | |y Перейти в каталог НБ ТГУ |u https://koha.lib.tsu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=392784 | ||
| 908 | |a статья | ||
| 999 | |c 392784 |d 392784 | ||