Deformation Quantization by Moyal Star-Product and Stratonovich Chaos

被引：0
|
作者：
Leandre, Remi [1 ]
Nguema, Maurice Obame [2 ]
机构：
[1] Univ Franche Comte, Math Lab, F-25030 Besancon, France
[2] Univ Bourgogne, Inst Math Bourgogne, F-21000 Dijon, France
来源：
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2012年 / 8卷
关键词：
Moyal product; Connes algebra; Stratonovich chaos; white noise analysis; FIELD-THEORY;
D O I：
10.3842/SIGMA.2012.011
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We make a deformation quantization by Moyal star-product on a space of functions endowed with the normalized Wick product and where Stratonovich chaos are well defined.
引用
收藏
页数：15
相关论文
共 50 条
  • [41] ASPECTS OF GAUGE VARIANCE AND GEOMETRY IN A FERMIONIC STAR-PRODUCT FORMALISM
    LESCHE, B
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS, 1983, 77 (02): : 121 - 134
  • [42] Twisted convolution and Moyal star product of generalized functions
    M. A. Soloviev
    Theoretical and Mathematical Physics, 2012, 172 : 885 - 900
  • [43] Star-product functions in higher-spin theory and locality
    M. A. Vasiliev
    Journal of High Energy Physics, 2015
  • [44] Open superstring star as a continuous moyal product with B field
    Wang, XH
    Hou, BY
    Yang, ZY
    Yue, RH
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2003, 40 (04) : 451 - 456
  • [45] Computing in string field theory using the Moyal star product
    Bars, I
    Matsuo, Y
    PHYSICAL REVIEW D, 2002, 66 (06)
  • [46] Star-product functions in higher-spin theory and locality
    Vasiliev, M. A.
    JOURNAL OF HIGH ENERGY PHYSICS, 2015, (06):
  • [47] Star-product and massless free field dynamics in AdS4
    Bolotin, KI
    Vasiliev, MA
    PHYSICS LETTERS B, 2000, 479 (04) : 421 - 428
  • [48] Star-Product Formalism for the Probability and Mean-Value Representations of Qudits
    Peter Adam
    Vladimir A. Andreev
    Margarita A. Man’ko
    Vladimir I. Man’ko
    Matyas Mechler
    Journal of Russian Laser Research, 2020, 41 : 470 - 483
  • [49] Mutually unbiased bases: tomography of spin states and the star-product scheme
    Filippov, S. N.
    Man'ko, V. I.
    PHYSICA SCRIPTA, 2011, T143
  • [50] Star-Product Formalism for the Probability and Mean-Value Representations of Qudits
    Adam, Peter
    Andreev, Vladimir A.
    Man'ko, Margarita A.
    Man'ko, Vladimir I.
    Mechler, Matyas
    JOURNAL OF RUSSIAN LASER RESEARCH, 2020, 41 (05) : 470 - 483
12345