Deformation quantization of classical fields

被引：28
|
作者：
García-Compeán, H
Plebanski, JF
Przanowski, M
Turrubiates, FJ
机构：
[1] Inst Politecn Nacl, Dept Fis, Ctr Invest & Estudios Avanzados, Mexico City 07000, DF, Mexico
[2] Tech Univ Lodz, Inst Phys, PL-93005 Lodz, Poland
[3] Inst Politecn Nacl, Dept Fis, Ctr Invest & Estudios Avanzados, Mexico City 07000, DF, Mexico
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS A | 2001年 / 16卷 / 14期
关键词：
deformation quantization; field theory;
D O I：
10.1142/S0217751X01003652
中图分类号：
O57 [原子核物理学、高能物理学];
学科分类号：
070202 ;
摘要：
We study the deformation quantization of scalar and Abelian gauge classical free fields. Stratonovich-Weyl quantizer, star products and Wigner functionals are obtained in field and oscillator variables. The Abelian gauge theory is particularly intriguing since the Wigner functional is factorized into a physical part and the other one containing the constraints only. Some effects of nontrivial topology within the deformation quantization formalism are also considered.
引用
收藏
页码：2533 / 2558
页数：26
相关论文
共 50 条
  • [41] Deformation quantization and reduction
    Cattaneo, Alberto S.
    POISSON GEOMETRY IN MATHEMATICS AND PHYSICS, 2008, 450 : 79 - 101
  • [42] Logarithms and deformation quantization
    Alekseev, Anton
    Rossi, Carlo A.
    Torossian, Charles
    Willwacher, Thomas
    INVENTIONES MATHEMATICAE, 2016, 206 (01) : 1 - 28
  • [43] Quantization: Deformation and/or functor?
    Sternheimer, D
    LETTERS IN MATHEMATICAL PHYSICS, 2005, 74 (03) : 293 - 309
  • [44] QUANTIZATION AS MAPPING AND AS DEFORMATION
    NIEDERLE, J
    TOLAR, J
    CZECHOSLOVAK JOURNAL OF PHYSICS, 1979, 29 (12) : 1358 - 1368
  • [45] Deformation quantization of gerbes
    Bressler, Paul
    Gorokhovsky, Alexander
    Nest, Ryszard
    Tsygan, Boris
    ADVANCES IN MATHEMATICS, 2007, 214 (01) : 230 - 266
  • [46] Quantization: Deformation and/or Functor?
    Daniel Sternheimer
    Letters in Mathematical Physics, 2005, 74 : 293 - 309
  • [47] Variations on deformation quantization
    Gutt, S
    CONFERENCE MOSHE FLATO 1999, VOL I: QUANTIZATION, DEFORMATIONS, AND SYMMETRIES, 2000, 21 : 217 - 254
  • [48] Deformation Quantization with Traces
    Giovanni Felder
    Boris Shoikhet
    Letters in Mathematical Physics, 2000, 53 : 75 - 86
  • [49] DEFORMATION QUANTIZATION MODULES
    Kashiwara, Masaki
    Schapira, Pierre
    ASTERISQUE, 2012, (345) : VII - +
  • [50] Exotic deformation quantization
    Ovsienko, V
    JOURNAL OF DIFFERENTIAL GEOMETRY, 1997, 45 (02) : 390 - 406
12345