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
  • [1] Deformation quantization of fermi fields
    Galaviz, I.
    Garcia-Compean, H.
    Przanowski, M.
    Turrubiates, F. J.
    ANNALS OF PHYSICS, 2008, 323 (04) : 827 - 844
  • [2] Quantization of classical fields with fractional derivatives
    Muslih, SI
    Baleanu, D
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-BASIC TOPICS IN PHYSICS, 2005, 120 (05): : 507 - 512
  • [3] Chaotic quantization of classical gauge fields
    Biró, TS
    Matinyan, SG
    Müller, B
    FOUNDATIONS OF PHYSICS LETTERS, 2001, 14 (05) : 471 - 485
  • [4] Coherent representation of fields and deformation quantization
    Berra-Montiel, Jasel
    Molgado, Alberto
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2020, 17 (11)
  • [5] Canonical quantization of classical fields in finite volume
    Liu Bo
    Wang Qing
    Li Yong-Ming
    Long Zheng-Wen
    ACTA PHYSICA SINICA, 2015, 64 (10)
  • [6] Quantization of fields by averaging classical evolution equations
    Andersen, Timothy D.
    PHYSICAL REVIEW D, 2019, 99 (01)
  • [7] AN ALTERNATIVE METHOD OF QUANTIZATION - THE EXISTENCE OF CLASSICAL FIELDS
    CRAWFORD, JA
    NUOVO CIMENTO, 1958, 10 (04): : 698 - 713
  • [8] Deformation quantization and the tomographic representation of quantum fields
    Berra-Montiel, Jasel
    Cartas-Fuentevilla, Roberto
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2020, 17 (14)
  • [9] Deformation quantization of relativistic particles in electromagnetic fields
    Sanchez, Laura
    Galaviz, Imelda
    Garcia-Compean, Hugo
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2008, 23 (11): : 1757 - 1790
  • [10] Deformation Quantization of Commutative Families and Vector Fields
    Sharygin, Georgiy, I
    GEOMETRIC METHODS IN PHYSICS XXXVII, 2020, : 100 - 120
12345