Unified study of planar field theories

被引：9

作者：

Ghosh, S ^{[1
]}

机构：

[1] Indian Stat Inst, PAMU, Kolkata 700035, W Bengal, India

来源：

ANNALS OF PHYSICS | 2001年 / 291卷 / 01期

关键词：

planar field theories; constraint system; Betalin-Tyutin quantization;

D O I：

10.1006/aphy.2001.6141

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A "master" gauge theory is constructed in 2 + I-dimensions through which various gauge invariant and gauge non-invariant theories can be studied. In particular, Maxwell-Chem-Simons, Maxwell-Proca, and Maxwell-Chern-Simons-Proca models are considered here. The master theory in an enlarged phase space is constructed both in Lagrangian (Stuckelberg) and Hamiltonian (Batalin-Tyutin) frameworks, the latter being the more general one, which includes the former as a special case. Subsequently, BRST quantization of the latter is performed. Last, the master Lagrangian, constructed by S. Deser and R. Jackiw (1984, Phys. Lett. B 139, 371), to show the equivalence between the Maxwell-Chem-Simons and the self-dual model, is also reproduced from our Batalin-Tyutin extended model. A symplectic quantization procedure for constraint systems is adopted in the last demonstration. (C) 2001 Academic Press.

引用

页码：1 / 13

页数：13

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