Hamiltonian BRST and Batalin-Vilkovisky formalisms for second quantization of gauge theories

被引:28
作者
Barnich, G
Grigoriev, M
机构
[1] Free Univ Brussels, Phys Theor & Math Inst, B-1050 Brussels, Belgium
[2] Free Univ Brussels, Int SolvayInst, B-1050 Brussels, Belgium
[3] PN Lebedev Phys Inst, Tamm Theory Dept, Moscow 119991, Russia
关键词
D O I
10.1007/s00220-004-1275-4
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Gauge theories that have been first quantized using the Hamiltonian BRST operator formalism are described as classical Hamiltonian BRST systems with a BRST charge of the form <Psi, (Omega) over cap Psi>(even) and with natural ghost and parity degrees for all fields. The associated proper solution of the classical Batalin-Vilkovisky master equation is constructed from first principles. Both of these formulations can be used as starting points for second quantization. In the case of time reparametrization invariant systems, the relation to the standard <Psi, (Omega) over cap Psi>(odd) master action is established.
引用
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页码:581 / 601
页数:21
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