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

页码：2533 / 2558

页数：26

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