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
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