✦ LIBER ✦

Unified Study of Planar Field Theories

✍ Scribed by Subir Ghosh

Publisher: Elsevier Science
Year: 2001
Tongue: English
Weight: 86 KB
Volume: 291
Category: Article
ISSN: 0003-4916
DOI: 10.1006/aphy.2001.6141

No coin nor oath required. For personal study only.

✦ Synopsis

A "master" gauge theory is constructed in 2 + 1-dimensions through which various gauge invariant and gauge non-invariant theories can be studied. In particular, Maxwell-Chern-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-Chern-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.

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